1st conference on multiphysics simulation advanced methods for

68
1 1 st conference on multiPhysics simulation aDvanceD methoDs for inDustrial engineering www.multiphysics.fraunhofer.de June 22-23, 2010 | Bonn, germany Supported by: Book of aBstracts

Upload: trinhthuy

Post on 14-Feb-2017

225 views

Category:

Documents


2 download

TRANSCRIPT

Page 1: 1st conference on multiphysics simulation advanced methods for

1

1st conference on multiPhysics simulation

aDvanceD methoDs for inDustrial engineering

www.multiphysics.fraunhofer.de

June 22-23, 2010 | Bonn, germany

Supported by:

Book of aBstracts

Page 2: 1st conference on multiphysics simulation advanced methods for

2

1 s t c o n f e r e n c e o n m u l t i p h y s i c s s i m u l a t i o n

Page 3: 1st conference on multiphysics simulation advanced methods for

3

Welcome to Bonn1st Conference on Mult iphys ics S imulat ion – Advanced Methods for Industr ia l Engineer ing

June 22-23, 2010 | Bonn, Germany

Mult iphys ics s imulat ion is one of the fastest growing research f ie lds in industr ia l engineer ing. This confer-

ence wi l l concentrate on some aspects of this emerging research f ie ld.

conference agenda

June 22, 2010

8 a. m. – 9:30 a. m. Registration

9 a. m. – 6 p. m. Presentations and Mini-Symposia

6:30 p. m. – 11 p. m. Reception and Dinner

June 23, 2010

8:30 a. m. – 4 p. m. Presentations and Mini-Symposia

4 p. m. – 4:30 p. m. Close Up and Farewell

conference location

Ameron Hotel Königshof

Adenauerallee 9

53111 Bonn

Phone +49 228 26010

www.hotel-koenigshof-bonn.de

accomodation

Please use the keyword »Fraunhofer Multiphysics Conference«

to get the special conference rate in following hotels:

Ameron Hotel Königshof: www.hotel-koenigshof-bonn.de

Single rooms incl. breakfast: € 135 (option valid till May 22, 2010)

Hotel Günnewig Residence: www.guennewig.de

Single rooms incl. breakfast: € 129 (option valid till May 21, 2010)

Hotel Stern: www.sternhotel.de

Single rooms incl. breakfast: € 125 (option valid till May 29, 2010)

Hotel Eden: www.eden-bonn.de

Single rooms incl. breakfast: € 87 (option valid till May 10, 2010)

A view of the City of Bonn

along the river Rhine to the

hills of the Siebengebirge.

Bonn can easily be reached

by bus, train or by car from

the Airports Cologne/Bonn,

Düsseldorf and Frankfurt.

(Photo: Presseamt Bundes­

stadt Bonn, Michael Son­

dermann)

applied research for advanced engineering solutions

In the Fraunhofer Alliance »Numerical Simulation of Products,

Processes« 20 Fraunhofer Institutes are pooling their expertise.

The alliance deals with the development and improvement of

simulation methods. Today, the simulation of products and

processes plays a crucial role in all phases of the product life

cycle – from model-materials development and simulation

of the fabrication process to operating characteristics and

product placement in the market.

The goal of the alliance is to offer expertise and solutions to

customers in industry and public areas. In particular, sharing

specialized knowledge from the ICT sector with materials and

component know-how, and with the surface and production

technology promises to yield innovative results.

conference fees

€ 500* per Attendee

€ 250* for Fraunhofer employees, paper authors, and students

* including documentation, beverages and lunch

conference Website and registration

Please register by our registration form

under the link below:

www.multiphysics.fraunhofer.de

Page 4: 1st conference on multiphysics simulation advanced methods for

4

1st conference on multiPhysics simulationThe presentat ions wi l l show new engineer ing processes and demonstrate their pract icabi l i ty in real engi-

neer ing cases. Enhanced numerical a lgor i thms, new software solut ions, advanced model l ing procedures,

and engineer ing guidel ines wi l l be presented by more than 70 authors from research and industry.

conference intention

Focus of the conference is on advanced multiphysics simula-

tion methods which already have proven their practicality for

real application cases. Engineers with a long term background

in their specifi c fi eld of application will organise the mini-

symposia.

multiphysics minisymposia

1. Materials Design

2. Laser Induced Manufacturing Processes

3. Integrated Manufacturing Process Chains

4. Process and Environmental Engineering

5. Multiphysics Simulation in Bio-Medical Applications

6. System Simulation in Vehicle Engineering and E-Mobility

7. Electrical and Electronic Systems

8. Multi-Disciplinary Functional Mock-Up

9. General Multiphysics Methods

Keynote speeches

Overview on Multiphysics Applications

moji moatamedi – Editor Multiphysics Journal / Narvik

University College

Numerical aspects of multidisciplinary simulation

in system dynamics

martin arnold – Martin Luther University Halle-Wittenberg

Multidisciplinary Simulations for Virtual Product Development

of Automotive Audio Systems

alfred J. svobodnik – Harman International

Coupling Several CFD and CSD Codes in One Application

rainald löhner – George Mason University

exhibition

aixprocess GmbH

ANSYS Germany GmbH & CADFEM GmbH

CEI GmbH

COMSOL Multiphysics GmbH

Dassault Systèmes Simulia GmbH

Dynamore GmbH

NUMECA Ingenieurbüro

(see page 10 for further details)

Supported by:

Page 5: 1st conference on multiphysics simulation advanced methods for

5

taBle of contents

General Overview ......................................................................................................................................................................6

Keynote Speeches ......................................................................................................................................................................8

1 Materials Design ...................................................................................................................................................................12

2 Laser Induced Manufacturing Processes ................................................................................................................................18

3 Integrated Modelling of Manufacturing Process Chains .........................................................................................................22

4 Process and Environmental Engineering.................................................................................................................................30

5 Multiphysics Simulation in Bio-Medical Applications ..............................................................................................................36

6 System Simulation in Vehicle Engineering and E-Mobility .......................................................................................................40

7 Electrical and Electronic Systems ...........................................................................................................................................44

8 Multi-Disciplinary Functional Mock-Up ..................................................................................................................................50

9 General Multiphysics methods ..............................................................................................................................................54

List of Authors (sorted by company / institution) .......................................................................................................................60

Organizing Institutes ................................................................................................................................................................63

Exhibition – Partner Descriptions ..............................................................................................................................................66

Program committee

Andreas Burblies .............................. Fraunhofer Institute for Manufacturing Technology and Applied Materials Research IFAM

Arno Klomfass ............................................................................................. Fraunhofer Institute for High-Speed Dynamics EMI

Görge Deerberg .............................................Fraunhofer Institute for Environmental, Safety and Energy Technology UMSICHT

Klaus Wolf, Tanja Clees ...................................................... Fraunhofer Institute for Algorithms and Scientific Computing SCAI

Konrad Steiner, Klaus Dressler, Joachim Linn ........................................ Fraunhofer Institute for Industrial-Mathematics ITWM

Michael Jöckel, Holger Hanselka ..................................Fraunhofer Institute for Structural Durability and System Reliability LBF

Peter Schneider, Andreas Wilde ...................................................................Fraunhofer Institute for Integrated Circuits IIS EAS

Tobias Preusser .................................................................................Fraunhofer Institute for Medical Image Computing MEVIS

Torsten Kraft, Dong-Zhi Sun .................................................................... Fraunhofer Institute for Mechanics of Materials IWM

Wolfgang Schulz, Markus Niessen ...................................................................... Fraunhofer Institute for Laser Technology ILT

materials Design laser inDuceD manu facturing Processes integrateD moDelling of manufacturing Process chains Process anD environ mental engineering multiPhysics simulation in Bio-meDical aPPlications sys-tem simulation in vehicle engineering anD e-moBility electrical anD electronic systems multi-DisciPlinary functional mock-uP general multiPhysics methoDs materials Design laser inDuceD manu facturing Pro-cesses integrateD moDelling of manufacturing Process chains Process anD environ mental engineer-ing multiPhysics simulation in Bio-meDical aPPlications system simulation in vehicle engineering anD e-moBility electrical anD electronic systems multi-DisciPlinary functional mock-uP general multiPhysics methoDs materials Design laser inDuceD manu facturing Processes integrateD moDelling of manufactur-ing Process chains Process anD environ mental engineering multiPhysics simulation in Bio-meDical aPPlica-tions system simulation in vehicle engineering anD e-moBility electrical anD electronic systems multi-agenDa

Page 6: 1st conference on multiphysics simulation advanced methods for

6

general overvieW

Start End Goldener Saal Roter Saal Rheinblick Siebengebirge

9:30 AM 10:00 AM

10:00 AM 10:30 AM

10:30 AM 11:00 AM

11:00 AM 11:30 AM

11:30 AM 1:10 PM Session I-A

Integrated

Manufacturing Process

Chains

(Chair: A. Burblies)

4 Talks

Session I-B

System Simulation in

Vehicle Engineering / E-

Mobility

(Chair: K. Dressler)

4 Talks

Session I-C

Electrical and Electronic

Systems

(Chair: P. Schneider)

4 Talks

Session I-D

Multiphysics

Simulation in

BioMedical

Applications

(Chair: T. Preusser)

4 Talks

1:10 PM 2:40 PM

2:40 PM 4:20 PM Session II-A

Integrated

Manufacturing Process

Chains

(Chair: D-Z Sun)

4 Talks

Session II-B

System Simulation in

Vehicle Engineering / E-

Mobility

(Chair: M. Jöckel)

4 Talks

Session II-C

Electrical and Electronic

Systems

(Chair: T. Clees)

4 Talks

Session II-D

Multiphysics

Simulation in

BioMedical

Applications

(Chair: T. Preusser)

3 Talks

4:20 PM 4:50 PM

4:50 PM 5:40 PM Session III-A

Integrated

Manufacturing Process

Chains

(Chair: T. Clees)

3 Talks

Session III-B

Process and

Environmental

Engineering

(Chair: K. Steiner)

4 Talks

Multi-Disciplinary

Functional Mock-Up

(Chair: P. Schneider)

2 Talks

Session III-D

General Multiphysics

Methods

(Chair: J. Linden)

4 Talks

6:30 PM 10:30 PM

8:30 AM 9:00 AM

9:00 AM 9:30 AM

9:30 AM 10:00 AM

10:00 AM 12:10 PM Session IV-A

Materials Design

(Chair: K. Steiner)

5 Talks

Session IV-B

Process and

Environmental

Engineering

(Chair: G. Deerberg)

5 Talks

Session IV-C

Laser induced

manufacturing Processes

(Chair: M. Niessen)

5 Talks

12:10 PM 1:30 PM

1:30 PM 3:10 PM Session V-A

Materials Design

(Chair: T. Kraft)

4 Talks

Session V-B

Multi-Disciplinary

Functional Mock-Up

(Chair: P. Schneider)

4 Talks

Session V-C

General Multiphysics

Methods

(Chair: C. Rümpler)

4 Talks

3:10 PM 3:40 PM

3:40 PM 4:00 PM

4:00 PM 4:20 PM Discussion & Farewell

Session VI

Conference Wrapup

Coffee Break & Exhibition

Coffee Break & Exhibition

Lunch Break & Exhibition

Welcome etc

Keynote M Moatedi: Overview on Multiphysics Applications

Keynote R Löhner: Coupling Several CFD and CSD Codes in One Application

Tuesday June 22, 2010

Lunch Break & Exhibition

Coffee Break & Exhibition

Dinner & Boattrip

Wednesday June 23, 2010

Coffee Break & Exhibition

Keynote Alfred J. Svobodnik: Multidisciplinary Simulations for Virtual Product

Development of Automotive Audio SystemsKeynote M Arnold: Numerical aspects of multidisciplinary simulation in system

dynamics

Page 7: 1st conference on multiphysics simulation advanced methods for

7

locations

Page 8: 1st conference on multiphysics simulation advanced methods for

8! "!#!$%!

!

"#$%&'#!()##*+#,!

-.#,/0$!1.%#!223!2454!67#%08$!(#,,9&%!!9%!:&7/#%#8!(007!54;44!<!55;44!!=>#8>9#?!&%[email protected]'9)+$,9*,!A))79*0'9&%,!!"#$%!"&'&()*$%+%,*$'"-%!./'$0123$43%5".-6&/%7%8&-9$:%;6$9)-3$'2%<"//)=)%!

B&.)79%C!,#>#807!BDE!0%/!BE(!B&/#,!9%!&%#!A))79*0'9&%!>&$6&/*%?@16)-%+%<AB%<)6')-C%D)"-=)%!&3"6%;6$9)-3$'2C%A&$-E&F%GH%!!F#/%#,/0$!1.%#!2G3!2454;!!!67#%08$!(#,,9&%!9%!:&7/#%#8!(007!!H;G4!<!I;[email protected]'9/9,*9)79%08$!(9J.70'9&%,!K&8!L98'.07!68&/.*'!E#>#7&)J#%'!&K!A.'&J&'9>#!A./9&!($,'#J,!H/E-)*%5I%J9"K"*6$:%+%L&-(&6%M6')-6&'$"6&/%H.'"("'$9)%B$9$3$"6C%G$)66&%!M.J#89*07!0,)#*',!&K!J.7'9/9,*9)79%08$!,9J.70'9&%!9%!,$,'#J!/$%0J9*,!!&-'$6%H-6"/*%+%!&-'$6%?.'1)-%;6$9)-3$'2%L&//)+N$'')6K)-=%

!

Page 9: 1st conference on multiphysics simulation advanced methods for

9! "!#!$"!

!"#$"%#&'()'*+,-%./01%21'3..,%24-%()1'

!"#$%!"&'&()*$%+%,*$'"-%!./'$0123$43%5".-6&/%7%8&-9$:%;6$9)-3$'2%<"//)=)%,(&$/>%("#$?1$6@6"%

%&'()*+,-).-! -)/&'0()12! )-! 0! 34'0()54',! 246! .'0--! 17! 020',-)-! )2! (+4! 7)4'8!17! 429)2443)29! 028! -.)42.4:! ;345)1&-',!2&/43).0'! /184'')29! )251'5)29! <1(+! 7'&)8! 028! -(3&.(&34! 60-! &2843(0=42! &-)29! (61! -4*030(4! .184->! 0!?1/*&(0()120'!@'&)8!A,20/).-!B?@AC!.184!713!(+4!7'&)8!020',-)-!028!0!@)2)(4!D'4/42(!E20',-)-!B@DEC!.184!713!(+4!-(3&.(&30'!34-*12-4:!F4.42(!08502.4-!)2!(4.+21'19,!216!420<'4!(+4!/184'')29!17!<1(+!7'&)8!028!-(3&.(&34!6)(+)2!0! -)29'4! .184! 420<')29! 0! 7&'',! .1&*'48! 020',-)-! (1! <4! *43713/48:! G+)-! (0'=! .12.42(30(4-! &*12! 0! 2&/<43! 17!0**').0()12-! .12.43248!6)(+! (+4!/&'()*+,-).-!/184'')29! )2! 340'! )28&-(3)0'! *31<'4/-:! G+4-4! *31<'4/-! )2.'&84! 0!-43)4-!17!-)/&'0()12-!-&.+!0-!?12.1384!0..)842(! )254-()90()12!028!0)3<09!.43()7).0()12:!DH*43)/42(0'!543)7).0()12!028!50')80()12!17!(+4!2&/43).0'!.184-!)-!4--42()0'!)2!-&.+!*30.().0'!0**').0()12-!(1!348&.4!(+4!.1-(!028!42+02.4!-074(,! )2! 84-)92! 028! /02&70.(&3)29:! G+4! .1/*03)-12! <4(6442! 4H*43)/42(! 028! 2&/43).0'! 020',-)-! 6)''! <4!8)-.&--48!)2!(+4!0<154!/42()1248!0**').0()12-:!

'

'

'

5(+.,%)6'1#"#$4,'578'4)9'58:'5(9#1'%)'()#'3..,%24-%()'

A&$6&/*%BC16)-%+%<DE%<)6')-F%G)"-=)%!&3"6%;6$9)-3$'2F%D&$-H&I%JK%,(&$/>%-/"16)-?=(.@)*.%

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

!@)9&34!M!G02=!O4*030()12P!?1/*03)-12!17!Q0'7KD/*(,!028!DJ&)50'42(!F)9)8!G02=!BGRS:TUC!

!

'

Page 10: 1st conference on multiphysics simulation advanced methods for

10! "#!$!%&!

!"#$%&%'(%)#%*+,-./%0"#+$%1*'.21,.3%,$"+#.4,1&"($.5676#1)06*$.12.8"$101$%76.8"&%1./-'$60'.

!"#$%&'()'*+,-,&./0'1'23$43.'5.6%$.36/,.3"'!76,4,6/+%'8/+/9/,.:';/%..3'<43/"='3"#$%&)9+,-,&./0>?3$43.)@,4'

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

9"06,%(+#.+')6($'.12.0"#$%&%'(%)#%*+,-.'%0"#+$%1*.%*.'-'$60.&-*+0%('.

A3$6/.'!$.,"&'1'A3$6/.'B76?%$'C./+%$9/6D'23""%1E/66%.-%$F'<43/"='43$6/.)3$.,"&>436?%436/0)7./1?3""%)&%'

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

<6.!-99)0)-80:!.-,*68*@!2(-!067748)0,2)68!1-2=--8!2(-!*)745,2)68!2665*!)8!,!06A*)745,2)68!-83).687-82!(,*!26!1-!.-*2.)02-/!26!F2)7-AG/)*0.-2-!*:80(.68)B,2)68!+6)82*!F=-,>!064+5)8?G;!I-2=--8!2=6!*:80(.68)B,2)68!+6)82*@!,55!2-.7*! 2(,2! 064+5-! 2(-! *41*:*2-7*! 69! ,! 7452)/)*0)+5)8,.:! 76/-5! (,3-! 26! 1-! ,++.6C)7,2-/! 1:! /,2,! )82-.+65,2)68!,8/! -C2.,+65,2)68;! '(-! /,2,! ,++.6C)7,2)68! )8! *40(! ,! 76/45,.! ,++.6,0(! 0,4*-*! ,//)2)68,5! /)*0.-2)B,2)68! -..6.*!,8/! 7,:! 94.2(-.76.-! .-*452! )8! 847-.)0,5! )8*2,1)5)2:;! J! /-2,)5-/! *2,1)5)2:! ,8/! 0683-.?-80-! ,8,5:*)*! 69! 76/45,.!2)7-! )82-?.,2)68! 7-2(6/*! ?)3-*! )8*)?(2! )826! 2(-*-! +.,02)0,55:! 61*-.3-/! 847-.)0,5! +.615-7*! ,8/! +.63)/-*!94.2(-.76.-!,!2(-6.-2)0,5!9.,7-=6.>!96.!2(-!*2,1)5)B,2)68!69!2)7-!)82-?.,2)68!)8!06A*)745,2)68!,5?6.)2(7*;!

O8!76/45,.!2)7-!)82-?.,2)68@!2(-!4*-!69!/)99-.-82!2)7-!*2-+*)B-*!)8!/)99-.-82!*41*:*2-7*!F7452)A.,2-!7-2(6/*G!,8/!2(-!0671)8,2)68!69!/)99-.-82!*653-.*! )8!2(-!2)7-!)82-?.,2)68!69!067+5-C!7452)/)*0)+5)8,.:!76/-5*!F7452)A7-2(6/!,++.6,0(G! ,.-! *2.,)?(296.=,./;! '(-.-96.-@! 2(-! +.,02)0,5! 4*-! 69! 76/45,.! 2)7-! )82-?.,2)68! 2-0(8)H4-*! )*! 862!.-*2.)02-/!26!06A*)745,2)68;!'(-!76/45,.!7-2(6/*!,.-!,!+.67)*)8?!,52-.8,2)3-!26!05,**)0,5!76865)2()0!*653-.*!96.!+.615-7*! =)2(! /)99-.-82! 2)7-A*0,5-*! ,8/! 96.! +.615-7*! 2(,2! 0671)8-! *41*:*2-7*! 69! /)99-.-82! 76/-5! 067+5-C)2:!F-;?;! 0671)8,2)68! 69! PDQ! ,8/! DJQ! 76/-5*@! 0671)8,2)68! 69! 547+-/! ,8/! /)*2.)142-/! +,.,7-2-.! 76/-5*G;!'(.64?(642! 2(-! 2,5>@! 2(-! .-*452*!69! 2(-! 2(-6.-2)0,5! )83-*2)?,2)68*!,.-! )554*2.,2-/!1:!+.,02)0,5!,++5)0,2)68*! )8! 2(-!9)-5/!69!3-()05-!*:*2-7!/:8,7)0*;!

! !

Page 11: 1st conference on multiphysics simulation advanced methods for

11

Page 12: 1st conference on multiphysics simulation advanced methods for

12! "#!$!%&!

!

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

#$:.&'!A%(*:!=!$:*'G3*%(!,1.%H)G+!+)H3*%&):.+!:E!W!0)+&()M3&):.+!).!MGG=D'!).!L('+'.G'!:E!0'E'G&+!/"#6&4=&?2)#;"#J&??(?8G(T(4#V#U%?'(5&?51&71#3W4#6&1(4G&73245=>%?8#%?'#V*4W3%?8###CH&G7X#/G&?&"6&4=&?2YK&H"'(#!

!

Page 13: 1st conference on multiphysics simulation advanced methods for

13! "#!$!%&!

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

!+G8#! NI!6%71G.5=&7(! 5GH%7&1G2?! 23! 1>(!O.324HG?8! 51(0! 23! &! 7G?(.0G0(! 1%M(!M,! =2%07G?8! 5(P(4&7! 5GH%7&1G2?!H2'(75! &?'!12275#!I,+8,3!+8,.!;50(1C25B!+81!()*+,-./0*1!.,()*0+,23!2;!+81!>-!036!?-;25(,3:!.+14.!2;!0!@%A!.+11*!.811+!051!415;25(16!0+!522(! +1(4150+)51! 0;+15! 0! .41/,;,/! /22*,3:! .+14<! J3! +8,.! 030*D.,.! +8511! 6,;;1513+! ./0*1.! 051! ,3+526)/16! ,3! 25615! +2!61+15(,31!+81!1;;1/+,91!1*0.+2-4*0.+,/!(0+15,0*!71809,2)5K!0+!;,5.+E!+81!(,/52-./0*1E!C8151!7,-*0(1**0.!2;!/1(13+,+1!036!;155,+1! 051!(261**16! ,3! 25615! +2! 190*)0+1! +81! 1*0.+,/! 452415+,1.! 2;! +81! 4105*,+1! 480.1L! +813! +81!(1.2-./0*1E! C8,/8!/2551.4236.!+2!0!M1451.13+0+,91!N2*)(1!O*1(13+!PMNOQ!2;!+81!@%A!(,/52.+5)/+)51!036!;,30**D!+81!(0/52-./0*1<!R)1!+2!+81! *05:1!.+,;;31..!2;!+81!/1(13+,+1! *0(1**0E!+81!4105*,+1!480.1!,.!0..)(16!+2!51(0,3!1*0.+,/<! J3!25615!+2!514*0/1!+8,.!480.1! ,3! +81! MNO! 7D! 03! 1S),90*13+! 82(2:1312).! (0+15,0*! 62+16! C,+8! 1;;1/+,91! 1*0.+,/! 452415+,1.E! +81! 7,-*0(1**0!;155,+1$/1(13+,+1! ,.! 82(2:13,H16! 0+! +81!(,/52-./0*1! C,+8! T2U0+! FVG<! J3! +8,.! 82(2:13,H0+,23! .+14E! +81! 25,13+0+,23!51*0+,23.8,4.!71+C113!;155,+1!036!/1(13+,+1!/0(1!;52(!/5D.+0**2:5048,/!.+)6,1.! F#G!036!+81!1*0.+,/!452415+,1.!2;! +81!25+82582(7,/!/1(13+,+1!480.1!;52(!(2*1/)*05!6D30(,/!.,()*0+,23.!FWG<!=81!27+0,316!1;;1/+,91!T22B1!(0+5,X!2;!+81!4105*,+1! 480.1! ,.! .+523:*D! 03,.2+524,/!036!451.13+.! 1X+13.,23-.8105! /2)4*,3:! +15(.<!'+E! 31X+E! 0! #R!MNO!2;! +81!@%A!(,/52.+5)/+)51! ,.! :13150+16! 0+! +81! (1.2-./0*1! C,+8! +81! RJYJU'=-ZO! .2;+C051! FAG<! =81! 0(2)3+E! 6,.+5,7)+,23! 036!25,13+0+,23!2;!+81!4105*,+1!,3/*).,23.!,3!+81!;155,+1!(0+5,X!051!616)/16!;52(![OU!27.1590+,23.<!=8,.!8056!.1/236!480.1!,.! (261**16! 0.! 1,+815! .(0**! 25! 1*23:0+16! 1**,4.2,6.! C,+8! 03! 29150**! 480.1! 0(2)3+! 2;! 072)+! "V<A! 92*<! \! P%]! \!1*23:0+16!231.E!W]!\!.(0**! 231.Q<! Z25! +81!61./5,4+,23!2;! +81! ;155,+,/!(0+5,X!0!6,.*2/0+,23!613.,+D!70.16! ;*2C!/)591!61./5,4+,23!0//256,3:!+2!F%G! ,.!).16<!=2!1X451..!+81!1;;1/+,91!1*0.+2-4*0.+,/!;*2C-/)591!2;!+81!@%A!(,/52.+5)/+)51E!C1!044*D!415,26,/!72)3605D!/236,+,23.!036!415;25(!.19150*!9,5+)0*!)3,0X,0*!+1.+.!23!+81!6,./51+,H16!MNO<!Z25!+81!VR!4*031!.+50,3!.,()*0+,23!2;!+81!;25(,3:!.+14.!23!+81!(0/52-./0*1E!C1!).16!23!231!8036!+81!1;;1/+,91!.+51..-.+50,3!51*0+,23.8,4!61+15(,316! 23! +81! (1.2-./0*1! MNOE! 036! 23! +81! 2+815! 8036! +81! 1X415,(13+0*! 27+0,316! D,1*6! /)591.! /2(,3:! ;52(!)3,0X,0*!+13.,*1!036!/2(451..,23!+1.+.!F^G<!Z25!+81.1!1X415,(13+.E!.0(4*1.!051!+0B13!*23:,+)6,30**D!036!+503.915.1*D!+2!+81! 52**,3:! 6,51/+,23! 2;! +81! .811+! ,3! 25615! +2! ,391.+,:0+1! +81! 03,.2+524D! 2;! +81! 4*0.+,/! ;*2C! /)591<! =81! .)//1..,91!.,()*0+,23.!2;! +81!>-;25(,3:E! +81!1*0.+,/! .45,3:-70/B!036! +81!?-;25(,3:! .+14.! 051!415;25(16!C,+8! +81! /2((15/,0*!.2;+C051!40/B0:1!'70S)._!!F`G<!;*0*5*/(*'++ !F"G! Y<a<![/8(,+H!036!><!b508*K!c;2L&4'5!&!PG41%&7!07&1324H!324!H&1(4G&75!042=(55G?8dE!a?U!a2)530*E!N2*<!%"E!3e!A!PV]]&Q!44<!"&-V#<!FVG! Y<! f0./81+! 036! [<! M1XK! cC33(=1GP(! 1>(4H2(7&51G=! 0420(41G(5! 23! 37&1! &?'! =%4P('! 14&?50G4&1G2?! =227('!H%71G7&,(4! 07&1(5! PG&!>2H28(?GQ&1G2?dE!b52/<!2;!'[UO!=)572!OX42E!g15*,3E!Y15(03DE!40415!3e!Y=V]]`-A]A&]E!V]]`<!F#G! R<[<!h82)!036!Y<a<![8,;*1+K!cZ155,+1$i1(13+,+1!/5D.+0**2:5048D!,3!4105*,+1dE!U1+0**)5:,/0*!=503.<!'E!92*<!V#!P"&&VQ!44<!"VA&-"V%&<!FWG! U<! j,B2*)..,E! [<f<! [803:E! =<! Y51..(033E! '<! f1,31C1715E! O<! a<! U,++1(1,k15E! l<! I03:! 036! h<m<! f,)K! nCR14(H(! (7&51G=!&?G521420,!23!=(H(?1G1()!+(SBI! 3G451!04G?=G07(5!=&7=%7&1G2?5!&?'!(R0(4GH(?1&7!(PG'(?=(dE![/5,4+0!U0+15,0*,0E!92*<!A&! PV]]`Q!44<!`"W-`"^<!FAG! RJYJU'=!.2;+C051E!915.,23!#<VE!51*10.1!32+1.E!f2)90,3-*0-j1)91E!g1*:,)(E!V]]&<!F%G! M<!M265,:)1H!036!Y),+1551HE!J<K!T6(=>&?G=&7!M(>&PG2%4!23!51((75!LG1>!HGR('!HG=42514%=1%4(5U)!b52/<!2;!!=Ubo]W!i23;1513/1E!f,p:1E!V]]WE!4<!#A%<!F^G! Y<!O<!R,1+15K!cU1/803,/0*!U1+0**)5:DdE!U/Y50C-T,**!g22BE!i2(403DE!"&``<!F`G! T,77,+E!m05*..23E![2513.13<!'70S).E!'30*D.,.!>.15o.!U03)0*!N15.,23!%<&E!V]]&<!

<!

"#$%&! '(%)*+!,-.-/%&!012!3!$1!

Page 14: 1st conference on multiphysics simulation advanced methods for

14! "#!$!%&!

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

Page 15: 1st conference on multiphysics simulation advanced methods for

15! "#!$!%&!

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

Page 16: 1st conference on multiphysics simulation advanced methods for

16! "#!$!#%!

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

Page 17: 1st conference on multiphysics simulation advanced methods for

17

Page 18: 1st conference on multiphysics simulation advanced methods for

18! "#!$!%&!

!

!

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

(

Page 19: 1st conference on multiphysics simulation advanced methods for

19! "#!$!%#!

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

Page 20: 1st conference on multiphysics simulation advanced methods for

20! "#!$!%&!

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`-0S!a6!E(@4+8/>S!b6!R4>)1*S!O6!_-99)0=(30,S!R.-)0.)!YLYS!LX&X!T"##%V6!"6!?6!?3+=0)(S!O6!_-99)0=(30,S!76!G)-98300S!J''9-),!Q42*-.*!:)11)(*!cXS!X#%[!T"##[V6!Y6!J6!_+=)(S!N6!G3@301*)>S!76!G)-98300S!d6!H-11=/(0S!O6!_-99)0=(30,S!J,>30.),!I31)(-39*!L&S!""#&!T"##eV6![6!I6!<()48S!?6!?3+=0)(S!O6!_-99)0=(30,S!76!G)-98300S!U30/!:)11)(*!%S!LY#e!T"##%V6!X6!O6!_-99)0=(30,S!?6!?3+=0)(S!76!G)-98300S!U31+()![Lc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f:?7:PH! T4)31! ./0,+.130.)! C)9,-0BVS! bfPQ?! T93*)(! =)38!43(,)0-0BVS! :JgJ! T93*)(;'/C,)(;=+-91;+'!C)9,-0BV! =+1! 39*/!.93**-.39! 14)(839!8).430-.39! ./+'9),! 7f;! *-8+931-/0*! /(!^7N!*-8+931-/0*!/5!14)!59+-,!,/83-0!30,!14)!8)9,!'//96!?4)!-01)(9-0`-0B!/5!14)*)!'/C)(5+9!'3(1-39!*-8+931-/0*!/01/!3!4/9-*1-.! *-8+931-/0!.43-0!43*!3!B()31!'/1)01-39! 5/(!'(/.)**!+0,)(*130,-0BS!'(/,+.1!,)>)9/'8)01!30,!830+53.1+(-0B!'(/.)**!,)>)9/'8)016!P0!14)!=3*-*!/5!)D38'9)*!14)!9).1+()!*4/C*!*-8+931-/0!*/9+1-/0*!5/(!8+91-'42*-.39!3''9-.31-/0*!5/(!93*)(!830+53.1+(-0B!'(/.)**)*!30,!,)8/0*1(31)*!30!3''(/3.4!5/(!14)!4/9-*1-.!8+91-'42*-.39!'(/.)**!*-8+931-/06!:;9<=>?8@!!:3*)(S!'(/.)**!8/,)9S!^7NS!7fI!

Page 21: 1st conference on multiphysics simulation advanced methods for

21

Page 22: 1st conference on multiphysics simulation advanced methods for

22

! ""!#!$%!

!

"#!$%&'()*&'+!,-+'../%(!-0!,*%10*2&1)/%(!3)-2'44!56*/%4!!

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email protected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

Page 23: 1st conference on multiphysics simulation advanced methods for

23! "#!$!%&!

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

(

(

Page 24: 1st conference on multiphysics simulation advanced methods for

24! "#!$!%&!

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

!! ')41(22!2-(5!I!!! V-+;0.0-/!+,+./202!47!20*9.+-04,!*48(.!Y45-04,+.Z!!! '+)+*(-()!2(,20-0>0-/!+,+./202!!! @77010(,-!)(891-04,!47!8(203,!25+1(!+,8!14*5)(2204,!47!8+-+!;+2(!!! U4;92-,(22!+,+./202!4)!*9.-0P4;O(1-0>(!)4;92-!45-0*0E+-04,!Y45-04,+.Z!

!! M)+,27()!

Page 25: 1st conference on multiphysics simulation advanced methods for

25! "#!$!%&!

!! '()*+(+,-./!.0!,1)!2+,+!3+4)!,.!3)!5+**)2!!! 6+**-/7!.0!,1)!2+,+!3+4)!

!! '(.8)44!4,)*!"!!! 9,+3-:-,;!+/+:;4-4!.0!4-5<:+,-./!5.2):!=.*,-./+:>!!! '+(+5),)(!4)/4-,-?-,;!+/+:;4-4!!! @)2<8,-./!.0!2)4-7/!4*+8)A!8.5*()44-./!!! @.3<4,/)44!+/+:;4-4!.(!5<:,-B.3C)8,-?)!(.3<4,!.*,-5-D+,-./!.0!,1)!E1.:)!81+-/!

F1)!4.0,E+()!5.2<:)4!8+/!1+/2:)!1<7)!2+,+!3+4)4!)00-8-)/,:;A!)?)/!./!1-71:;!()4.:?)2!7(-24G!F1)()0.()!:+(7)!(+/2.5!0-):24! +()! 2-()8,:;! +/2! 0<::;! :.8+::;! +/+:;D)2G! F1-4! -4! /)8)44+(;A! 0.(! -/4,+/8)A! 0.(! ,1)! )H)5*:+(;! +**:-8+,-./! 8:+44)4!5)/,-./)2! +3.?)G! I/4)53:)4! .0! 4-5<:+,-./! ()4<:,4! .0! 3.,1! ,1)! 0-(4,! +/2! ,1)! 4)8./2! *(.8)44! 4,)*! +()! +/+:;D)2! ./!1-71:;!()4.:?)2!7(-24G!J22-,-./+::;A!+/!+2)K<+,):;!8()+,)2!)/4)53:)!.0!2+,+!1+4!,.!3)!5+**)2!0(.5!,1)!0-(4,!,.!,1)!4)8./2!4,)*G!@)4<:,4!+()!*()4)/,)2!0.(!,1)!0.(5-/7B,.B8(+41!*(.8)44!81+-/!0.(!+!5-8(.B+::.;)2!LM9,INOPQ!5),+:!3:+/R!.0!+!SB*-::+(G!T)()!,1)!2+,+!3+4)!-4!/.,!./:;!8.5*(-4)2!.0!,1-8R/)44)4!+/2!*:+4,-8!4,(+-/4A!3<,!+:4.!2+5+7)!-/0.(5+,-./G! U/8:<2-/7!2+5+7)!-/0.(5+,-./!,<(/4!.<,!,.!3)!+!8(<8-+:!*.-/,G!F1)!2+,+!3+4)!.0!4-5<:+,-./!()4<:,4!8.<:2!3)!()2<8)2!,.!3):.E!VPW!.0!,1)!.(-7-/+:!4-D)!E-,1.<,! :.4-/7! -5*.(,+/,! -/0.(5+,-./G!X.5*+(-4./4!.0!)H*)(-5)/,4!E-,1!4-5<:+,-./!()4<:,4!41.E! ,1+,! +! 8./4-2)(+3:)! -/8()+4)! -/! ,1)! 0.()8+4,-/7! K<+:-,;! .0! /<5)(-8+:! 4-5<:+,-./! -4! +81-)?)2! -0! ,1)! 2+5+7)!-/0.(5+,-./! 0(.5! ,1)! 0.(5-/7! 4,)*! +4!E)::! +4! ?+(-+,-./4! .0! ,1-8R/)44)4A! 4,(+-/4! +/2! 2+5+7)4! 8+<4)2! 3;! *+(+5),)(!?+(-+,-./4!+()!8./4-2)()2G!!"#$%&'(Y!0.(5-/7B,.B8(+41!*(.8)44!81+-/A!0.(5-/7!4-5<:+,-./A!8(+41!4-5<:+,-./A!4)/4-,-?-,;G!)))*+',(-&./0)12/00"+3"()%4)5.&-,/0)6/+,4/7-,&.+3)8&%7"(()12/.+()4%&)92""-)6"-/0):,-%;%-.5")1%;<%+"+-()!"#$%&$'!($)*+#$&+,!-!./&$0/&%!1/22/32-!4+5*/6!1/$*/&-!7/&8!9:/&!;!<=>?@!7#0.!A/&3$6!9#B$3C!8#$%&$'D%$)*+#$&+,E$6F&+D8/!!F1)!+<,.5.,-?)!-/2<4,(;!()K<-()4!,1)!()2<8,-./!.0!,1)!,-5)!,.!5+(R),!+/2!1)/8)!,1)!*(.2<8,!2)?):.*5)/,!,-5)G!Z/!,1-4!E+;!,1)!/<5)(-8+:!4-5<:+,-./!.0!*(.2<8,-./!*(.8)44)4!+::.E4!,.!7),!-/4-71,!-/,.!,1)!8.5*./)/,4[!3)1+?-.(!+/2!,.!)?+:<+,)!,1)!0)+4-3-:-,;!.0!,1)!*(.2<8,-./!4,)*4G!6.()!+/2!5.()!,1)!4-5<:+,-./!-4!+**:-)2!-/!,1)!*(.2<8,-./!*:+//-/7A!)4*)8-+::;!,.!+44<()!,1)!2-5)/4-./+:!+88<(+8;!2<(-/7!+::!*(.2<8,-./!4,)*4!+4!E)::!+4!,.!)4,-5+,)!,1)!0-/+:!*(.*)(,-)4!.0!5+/<0+8,<()2!+44)53:-)4G!U0!,1)4)!)00)8,4!2<)!,.!4-/7:)!5+/<0+8,<(-/7!4,)*4!+()!R/.E/!3)0.()!,1)!0.(5-/7!+/2!.,1)(!,..:4! +()! 8./4,(<8,)2A! ,1)!5+/<0+8,<(-/7! *(.8)44)4! 8+/! 3)! .*,-5-D)2!E-,1.<,! )H,)/4-?)! )5*:.;5)/,! .0! *(.,.,;*)!,)4,4G!F1<4A!8./4-2)(+3:)!8.4,!+/2!,-5)!()2<8,-./!8+/!3)!+81-)?)2G!!!6+C.(! *(.2<8,-./! 81+-/4! 0.(! 41)),! 5),+:! *+(,4! -/! ,1)! +<,.5.,-?)! -/2<4,(;! -/8:<2)! 0.(5-/7! +/2! C.-/-/7! *(.8)44)4A!5+-/:;! E):2-/7G! U\'@Z! 1+4! 2)?):.*)2! ,1)! 4.0,E+()! ,..:! 9U6J\! L9U5<:+,-./! 6J\+7)(Q! E1-81! *(.?-2)4! ,1)! 2+,+!5+/+7)5)/,!+/2!2+,+!,(+/40)(!3),E))/!?+(-.<4!4-5<:+,-./!4,)*4G!F1)!-/,)7(+,)2!+:7.(-,154!)/+3:)!,1)!,()+,5)/,!.0!2-00)()/,! ]IB5)41)4! +4!E)::! +4! 8./,+-/!5),1.24! .0! -/,(-/4-8! 2+,+! 8./?)(4-./! +/2!5+**-/7!.0! ()4<:,4G! F1)! 4.0,E+()!*.44)44)4!,1)!-/,)(0+8)4!,.!/<5)(.<4!8.55)(8-+:!]IB*(.7(+55)4G!F1<4A!2-00)()/,!5+,)(-+:!+/2!*(.8)44!5.2):4!8+/!3)!8.53-/)2! -/! .(2)(! ,.! +22()44! ,1)! *+(,[4! 3)1+?-.(! +**(.*(-+,):;G! J2?+/8)2! +/2! )00)8,-?)! 5.2):4! +/2! /<5)(-8+:!5),1.24!0.(!0.(5-/7!+/2!E):2-/7!+()!2-48<44)2!+/2!+**:-)2!-/!,1)!0(+5)E.(R!.0!*(.8)44!81+-/G!!!!!F1)! *()4)/,+,-./! -4! .(7+/-D)2! +4! 0.::.E4G! J0,)(! +! 41.(,! -/,(.2<8,-./! ,1)! -/2<4,(-+:! ()K<-()5)/,4! ./!5+/<0+8,<(-/7!4-5<:+,-./! 81+-/4! +()! .<,:-/)2G! F1)/A! ,1)! /)E:;! 2)?):.*)2! 4.0,E+()! ,..:! 9U6J\! -4! 2)48(-3)2! +/2! -,4! +**:-8+,-./! -4!2)5./4,(+,)2!0.(!+!,;*-8+:!+<,.5.,-?)!4,(<8,<()!:-R)!+!4<4*)/4-./!0(+5)G!I4*)8-+::;A!,1)!+4*)8,4!.0!,1)!2+,+!5+**-/7!3),E))/!,1)!4-5<:+,-./4!+()!+22()44)2G!]<(,1)(5.()A!,1)!+**:-8+3-:-,;!.0!?-(,<+:!4-5<:+,-./!81+-/!-/!,1)!0(+5)E.(R!.0!,1)!*(.2<8,-./!*:+//-/7!+/2!2)?):.*5)/,!-4!2-48<44)2G!!"#$%&'(Y!^-(,<+:!5+/<0+8,<(-/7!*(.8)44!81+-/A!0-/-,)!):)5)/,!4-5<:+,-./A!41)),!5),+:!+<,.5.,-?)!8.5*./)/,4!)))=,;"&.7/0)9.;,0/-.%+()%4)-2")1%+-.+,%,()1/(-.+3)%4)9-""0)$.-2)>0"7-&%;/3+"-.7)?&/@.+3)/+')9-.&&.+3)!GB&%$6!AB&6B-!G$&)+!4B,H&/)!I!<62%$%H%/!J+&!K3H$8!G/5*B6$52!B68!./B%!(&B62J/&-!4+*B66/2IL/F3/&IM6$,/&2$%NIO$6P!4Q&R/6!?/$%/&!I!,+/2%B3F$6/!S%B*3!"+6BT$%P!7#0.!U!V+!L7-!O/+0/6!4+2/J!1B%P$6R/&!I!S$/#/62!WX<!G/%B32!(/5*6+3+R$/2!7#0.!U!V+!O$6P!A/&6*B&8!LBHJ#B66!I!,+/2%B3F$6/!X7-!O$6P!GB&5H2!L$&25*/6!I!?.<!X7-!(/5*6+3+RN!V/6%/&!O/+0/6!9#B$3C!#B&%$6D0B&6BE')HDB%!!I:)8,(.5+7/),-8!3(+R-/7!+/2!4,-((-/7!+()!8.55./:;!<4)2!,)81/-K<)4!0.(! ,1)!8./,-/<.<4!8+4,-/7!*(.8)44!.0!4,)):G!F.!.*,-5-D)! ,1)!*(.8)44)4! -/!?-)E!.0! ,1)!*(.2<8,!K<+:-,;!+/2!,1)!<4)!.0!)/)(7;A!+!2))*!R/.E:)27)!.0! ,1)! -/,)(+8,-./!3),E))/! 5+7/),-8! 0-):2! +/2! :-K<-2! 4,)):! 0:.E! -4! /)8)44+(;G! S)8+<4)! .0! ,1)! 1+(41! )/?-(./5)/,! 2<(-/7! ,1)! 8+4,-/7!*(.8)44!5)+4<()5)/,4! +()! ?)(;!2-00-8<:,!.(! /)+(:;! -5*.44-3:)! ,.!*)(0.(5G! '1;4-8+:! VYV! 48+:)2!5.2):4! .0! ,1)! 8+4,-/7!*(.8)44!E-,1!E+,)(! +()! +?+-:+3:)! +/2! 8.55./:;! <4)2A! 3<,! 3)8+<4)! .0! ,1)! :.E! ):)8,(-8! 8./2<8,-?-,;! .0!E+,)(! ,1)4)!5.2):4! +()! /.,! +**:-8+3:)! 0.(! 8+4)4! E-,1! ):)8,(.5+7/),-8! 4,-((-/7! .(! 3(+R-/7G! 6),+:4! E1-81! +()! :-K<-2! +,! :.E!

Page 26: 1st conference on multiphysics simulation advanced methods for

26! "#!$!#%!

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

!A0:;!"]!<'()'*+&,*'!20-&*0=,&03/!0/!&4'!63/-02'*'2!-9-&'(!+8&'*!T!-'63/2-!0/2,6&03/!4'+&0/:!<4'!0/1'-&0:+&03/!-43>-!&4+&!&4'!*'@,0*'2!83*!>'520/:!&'()'*+&,*'!1+5,'-!STYVJSXVVVPF!4+1'!=''/!*'+64'2!+8&'*!T!-'63/2-!4'+&0/:;!<4'!:332!,/2'*-&+/20/:!38!&4'!)*36'--'-!0/!&4'!63/-02'*'2!-9-&'(!'/-,*'-!)3--0=050&0'-!83*!63/&*35F!(+/+:'('/&!+/2!0/6*'+-0/:!&4'!'88060'/69!38!&4'!>'520/:!)*36'--;!91&:)5,']!63,)5'2!80'52!)*3=5'(F!0/2,6&03/!4'+&0/:F!80/0&'!'5'('/&!('&432F!)0)'!>'520/:!!!!

!""#$

%&

'

%&

'

A0:;!S]!O'3('&*9!38!&4'!-9-&'(!

Page 27: 1st conference on multiphysics simulation advanced methods for

27! "#!$!%&!

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

Page 28: 1st conference on multiphysics simulation advanced methods for

28! "#!$!%&!

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

Page 29: 1st conference on multiphysics simulation advanced methods for

29! "#!$!%#!

&'()*+,(-!./,/!&01*+2.3!4.'2-!*(!51'++.2/!!

6*,!78!943:;,4!53:&.((!<:2.11*+,!&4'*+!!!!!"#$%&'()*&+!*&,#$-%&./!&/!*(00%!,0%-$!1.2,&/34!5%2#+%#2-$6!%(02,-$!-/7!0$0+%2.,-3/0%&+!+.#'$&/3!8&%(!95:;<=>!!"#!$%&'()*!+#!,-./'*!+#!01-23&%*!4#!$5627-88'(3'&!9!":;+<%&'!=<>,!6<-37?!-(@&'#1-./'A@B(-<%&'#@'!! !

!"#$%&'$()*+,

-*)&./$,0&1$,

2(*+34&4,

5/'$%&6*+,

!4)&'*)&7(,

71,-*)&./$,0&1$,

8&$,9*4)&(., :&'/+*)&7(,71,

);$,

<7+=,-&++&(.,

:7+&=&1&6*)&7(,

:&'/+*)&7(,

>$*),

?%$*)'$(),

<*6;&(&(.,

:)%*&(4,=/$,)7,

@/$(6;&(.,

:&'/+*)&7(,71,

8%&++&(.,

!"#$%&'(&

5,A+7.B,

8

*

)

*

,

?

%

*

(

4

1

$

%

:,A+7.B

C%$+&'&(*%3,

?*4D4,

Page 30: 1st conference on multiphysics simulation advanced methods for

30! "#!$!%&!

!

"#!$%&'())!*+,!-+./%&+0(+1*2!-+3/+((%/+3!!

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

Page 31: 1st conference on multiphysics simulation advanced methods for

31! "#!$!%&!

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

!! 67:4/93*792!3A(69!A43/*71!:)43/37:4!!! +494/8*739*(7!(,!,*=*71!5(*79.!$!.9*,,74..!$!.5/*71!:(7.9379.!!! +494/8*739*(7!(,!,/*:9*(7!:(4,,*:*479.!37+!+385*71!53/38494/.!!! 67:4/93*792!3A(69!904!38(679!(,!7(7D:(7+47.3A)4.!*7!904!)*I6*+!!! +2738*:.!(,!+4D34/39*(7!5/(:4..4.!!! 67.943+2!,/*:9*(7!:(4,,*:*479.;!

<7(904/!:(85)*:394+!5/(A)48! *.! 904!+4,*7*9*(7!(,!A(67+3/*4.@! )*F4! .54:*,*:39*(7.!(,!5685.@!C3)C4.@! ,*99*71.@!49:;! Q9! *.!(AC*(6.! 9039!3!:(8A*739*(7!(,!3))!67:4/93*79*4.!832! )43+! 9(!I6*94!67:4/93*7!5/4+*:9*(7.!37+!86.9! 904/4,(/4!A4!C4/2!:3/4,6))2! 93F47! *79(!3::(679;!V*90*7! 90*.!:(79/*A69*(7@!C3)C4D:)(.*71!4=54/*8479.!(,!+*,,4/479! *7*9*3)! 94854/396/4!37+!.2.948!5/4..6/4!39!?/3670(,4/!94.9!/*1!WWW!3/4!5/4.4794+;!E-(!.:473/*(.!3/4!8(+4))4+!6.*71!+*,,4/479!3..6859*(7.!37+!8(+4)!+4590.!37+!904!.*86)39*(7!/4.6)9.!3/4!:(853/4+!-*90!4=54/*84793)!+393;!

Page 32: 1st conference on multiphysics simulation advanced methods for

32! "#!$!%&!

!"#$%&'()*+) +&#&,-) +&.-/()-01*(-2) ,*)$) (1/$") +&-32) &#) ,4-)1*3"5/-,4$#-6) +&.-/6/-&#+*/'-2)'*%1*(&,-) (1/$")%*32&#7)%$#5+$',5/&#7)1/*'-(()!"#!$%&&'(!"#!)*+&!,#!-./*/.!0!12%3/.4%56!'&!788+%/9!:;%/2;/4!<=>?*.@!!A#!B+=C4D6(!$#!<%/5/+!0!A.=*2E'&/.!FG),!,#!-./*/.!H!</+>*5H:;E>%95H12%3/.4%56!<=>?*.@!I>=%+J!!9%&&'K.L?5#E=CHE=>?*.@#9/!!'!()*!+),-./! 01!23)1)(,)/! ,.! 4.+25,)! ,-)! 607)3!.30)(,8,0.(!8(/!/)(10,9!/01,3075,0.(! 0(!2.:953),-8();781)/! <=>?@!4.+2.10,)1! 23./54)/! 79! 12389! +.:/0(AB! C-01! 0(/51,308:! ,)4-(.:.A9! 01! 822:0)/! 79! 123890(A! ,-)! 0(0,08::9! :0D50/!2.:953),-8()!+8,30E!,.A),-)3!*0,-!3)0(6.340(A!607)31!0(!8!,..:!6.3+!.3!.(!8!1571,38,)B!C-)!607)31!83)!:8,)38::9!0(F)4,)/!0(!,-)! 2.:953),-8();803! 12389! 4.()! 6.3! *),,0(A! 8(/! )E-070,! 8! 1,3.(A! /9(8+04! +.,0.(! 0(! ,-)! 12389! 7)6.3)! ,-)! )(,03)!4.+2.10,)! 01!123)8/!.(!,-)!1571,38,)!*-)3)! 0,!1,83,1!4530(AB!G533)(,:9H!,-01!23./54,0.(!+),-./! 01!A80(0(A!+.3)!8(/!+.3)!2.25:830,9! 0(!,-)!85,.+.,0I)! 0(/51,39B!J.3!,-)!3):0870:0,9!8(/!186),9!.6!85,.+.,0I)!283,1!154-!81!3..6!+./5:)1H!4.I)31!.3!6)(/)31H!,-)!23)/04,0.(!.6!,-)!+)4-8(048:!7)-8I0.3!.6!,-)1)!283,1!5(/)3!/066)3)(,!:.8/1!8(/!0(!4381-!481)1!01!1,3.(A:9! 0(6:5)(4)/!79! ,-)!+8,)308:!23.2)3,0)1!23)/)60()/!0(! ,-)!12389!23.4)11B!C-)3)6.3)H! ,-)!80+!.6! ,-)!(5+)3048:!+),-./!23)1)(,)/!01!,.!.7,80(!0(6.3+8,0.(!87.5,!,-)!8I)38A)!.30)(,8,0.(!8(/!/)(10,9!/01,3075,0.(!.6!,-)!607)31!0(!,-)!4.+2.10,)! 79! 8! 23.4)11! 10+5:8,0.(! 510(A! 8! +5:,02-91041! 8223.84-B! C-)! 0(/51,308:! 23.F)4,! 283,()3! 01! ,-)! K)(()4L)!M+7K!;!=.:953),-8()!C)4-(.:.A9!0(!N8(L,!'5A51,0(H!M)3+8(9B!C-)!+./):0(A!.6!,-)!,*.;2-81)! 0(,)384,0.(1!.6!803!8(/!=>?!/3.2:),1! 0(!,-)!12389! 01!2)36.3+)/!*0,-!,-)!4.++)3408:!GJO! 4./)!'PNQN;J:5)(,! 79! 510(A! ,-)! 750:,;0(!O0143),)! =83,04:)!R./):H! 0B)BH! 8! S8A38(A08(! 283,04:)! ,384L0(A!+./):! ,.!3)23)1)(,!,-)!=>?!/3.2:),1!</0143),)!2-81)@B!C-)!803!6:.*!2.530(A!10+5:,8().51:9!.5,!.6!,-)!(.TT:)!01!+./):)/!81!,-)!4.(,0(5.51!2-81)!510(A! ,-)!?'PN!8223.84-B!C-)! ,-3));*89!4.52:0(A!7),*))(! ,-)1)!2-81)1! ,8L0(A! ,5375:)(4)!8(/!283,04:);283,04:);4.::010.(!0(,.!844.5(,!01!8:1.!0+2:)+)(,)/B!J.3! ,-)! 4.+25,8,0.(!.6! ,-)! 607)3!/9(8+041! 0(4:5/0(A!8!.();*89;0(,)384,0.(!.6! ,-)! 607)31!*0,-! ,-)!803! 8(/!*0,-! ,-)!=>?;/3.2:),1H! ,-)! 4./)! JUOQNCH! /)I):.2)/! 79! ,-)! J385(-.6)3;U(1,0,5,)! 6.3! U(/51,308:! R8,-)+8,041! UCVR!<W801)31:85,)3(H!M)3+8(9@H!01!51)/B!C-)!607)3!+./):0(A!0(!,-01!,..:!01!781)/!.(!,-)!/9(8+048:!W034--.66;S.I);,-).39!6.3!:83A)H! (.(;:0()83! /)6.3+8,0.(1!79!+8L0(A!51)!.6! ,-)!X)3(.5::0;Y5:)3!+8,)308:! :8*!8(/! 4.(10/)30(A! 8! 607)3! 81! 8! .()!/0+)(10.(8:H!0()E,)(107:)!):81,04!3./B!':.(A!*0,-!,-)!A38I0,8,0.(H!,-)!8)3./9(8+04!6.34)1!.30A0(8,0(A!63.+!,-)!803!6:.*!83.5(/!8!607)3!83)!+./):)/!81!/38A!6.34)1!/)2)(/0(A!.(!,-)!803;607)3!3):8,0I)!I):.40,9B!C-01!3)101,8(4)!:8*!,8L)1!0(,.!844.5(,! ,-)! )66)4,! .6! 803! 6:.*! ,5375:)(4)H!+./):)/!*0,-! ,-)! -):2! .6! ,-)! L;!;+./):H! 79! 8//0(A! 8! 1,.4-81,04! :0()83!6384,0.(!,.!,-)!(.(;:0()83!/),)3+0(01,04!8)3./9(8+04!6.34)1B!J.3! ,-)! /3.2:),;607)3;4.52:0(A! 8(! 8:A.30,-+! 01! 822:0)/H! ,-8,! 8I)38A)1! ,-)! ,0+);/)2)(/)(,! /9(8+04! /8,8! <+811! 8(/!I):.40,9@!.6!/0143),)!=>?;/3.2:),1!23)1)(,! 0(!8! 60(0,);I.:5+);4)::!.I)3! ,-)!4)::! I.:5+)!,.!4.+25,)! ,-)!)66)4,0I)! 6:50/!6.34)1! 84,0(A!.(! ,-)! 607)31! 0(! ,-8,! 4)::B! C-)! 6.34)1! 83)! 4.(10/)3)/! 0(! JUOQNC! )0,-)3! 0(! 8! 1,380A-,6.3*83/!+8(()3!79!8/F51,0(A!1.+)!12)40604!6:.*!60):/!65(4,0.(1!8:3)8/9!51)/!6.3!,-)!0(,)384,0.(!.6!,-)!607)31!*0,-!,-)!4.(,0(5.51!803!2-81)!.3!79!+./):0(A!,-)!8//0,0.(8:!+.+)(,5+!,38(16)3!781)/!.(!8(!)1,0+8,0.(!.6!:.48:!4.::010.(!)I)(,1!7),*))(!/3.2:),1!8(/!607)31B!J031,!3)15:,1!.6!,-)!+5:,02:);4.52:)/!10+5:8,0.(1!*0::!7)!1-.*(!0(!,-)!23)1)(,8,0.(B!C-)!23.F)4,!01!60(8(408::9!1522.3,)/!79!,-)!M)3+8(!J)/)38:!R0(01,39!.6!Y/548,0.(!8(/!?)1)834-!<XRXJ@B!8-"9*/2(Z!J07)3!O9(8+041H!J07)3;O3.2:),!U(,)384,0.(H!R5:,02-81)!J:.*H!G.+2.10,)!N2389!R.:/0(A!))):35&26;,/5',5/-)<#,-/$',&*#)(&%53$,&*#)*+)$)=>)%)5%./-33$)&#)'*%1$/&(*#)9&,4)+&-32)-01-/&%-#,()!7#!,%;E=+4D%!H!7.;E%5/;5*.=+!B&&%;/!M=4;EN-.=9=54;E(!:5*55@=.5!"#9/!O/.>/+(!I#<=*@!!H!I:F!A.=2;/(!"=.%4!M#)P;E2/.! (! O#H1#! -+/5L%2@/.! H! QE=%.! '&! :5.*;5*.=+! 72=+64%4(! G/;E2%;=+! 12%3/.4%56!,*2%;E!I>=%+J!>%;E=+4D%K4+H.=4;E#9/(!89DK/4%H@.'*8#;'>(!/?/.E=.9#E=*@K/4%H@.'*8#;'>(!D*?K?3#5*>#9/(!C*/;E2/.K?3#5*H>*/2;E/2#9/!!C-)! 1)(10,0I0,9! .6!+)+738()! 1,354,53)1! ,.!*0(/! :.8/1! /5)! ,.! ,-)03! 6:)E070:0,9! 8(/!1+8::! 0()3,08:! +811)1! 3801)1! ,-)! D5)1,0.(! .6! ,-)03! 7)-8I0.3! 5(/)3! (8,538:! *0(/!4.(/0,0.(1B!=83,045:83:9!,38(10)(,!*0(/!:.8/1!4.5:/!:)8/!,.!/9(8+04!8+2:06048,0.(!.6!,-)! 1,354,538:! 3)12.(1)B! C-)! 811)11+)(,! .6! /9(8+04! 3)12.(1)! .6! +)+738()!1,354,53)1! 01! 4.+2:)E! /5)! ,.! ,-)03! 12)408:! :.8/! 483390(A! 7)-8I0.3H! ,-)03! +8,)308:!23.2)3,0)1H! 8(/! ,-)03! /01,0(4,! 1,354,538:! 0(,)384,0.(! *0,-! 6:.*! 0(/54)/! )66)4,1B!G.+25,8,0.(8:!6:50/;1,354,53)!0(,)384,0.(!10+5:8,0.(!4.5:/!.I)34.+)!10+2:06048,0.(1!8(/!:0+0,8,0.(1!.6!)E01,0(A!8223.84-)1H!)12)408::9!1+8::!148:)!*0(/!,5(():!,)1,1H!8(/!8::.*! ,-)! 811)11+)(,! .6! 8::! 3):)I8(,! 1,354,538:! 8(/! 6:50/! 2-)(.+)(8B! C-01! 282)3!.5,:0()1!8!I03,58:!/)10A(!+),-./.:.A9!6.3!:0A-,*)0A-,!6:)E07:)!+)+738()!1,354,53)1!5(/)3! ,-)! 0+284,! .6! 6:54,58,0(A! *0(/! :.8/1! 8(/! 23.I0/)1! 3)15:,1! .(! ,-)! 5(0D5)!I8:0/8,0.(!.6!,-)!+),-./!8,!3)8:!148:)!,)1,1!.6!8!-0A-:9!6:)E07:)!#&!+!5+73)::8B!8-"9*/2(?! JNU! N0+5:8,0.(H! 6:)E07:)! +)+738()! 1,354,53)1H! *0(/! 10+5:8,0.(H! 3)8:!148:)!,)1,1!

Page 33: 1st conference on multiphysics simulation advanced methods for

33! ""!#!$%!

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

2BG?95,NK,"Y!26,'*24*!*'(.,4*!7'4:',*<=!

Page 34: 1st conference on multiphysics simulation advanced methods for

34! "#!$!%&!

!!!"#$%&'()$#*+,(%-(./"0*"1*2/$)$%*3(4./5-%(.$*6/%.$4*7.4-5.-4$)*!

"#$%&&'()*+,!-#./0*/12,!3#456/1,!4#!"+07%/6+)!8!91%:&7';/1!<=>?!

@A%+6B!"%10/6#$%&&'()*+C+*2)#;1%:&7';/1#5/!

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email protected]:.A-,!)33-!731!)*,!,@.-:.)(3+!.+4!35)(2(/.)([email protected](3:/!DHI!4,/(8+/>!K*,!51,/,+)!5.5,1!4,23+/)1.),/!)*,!:/.8,!37!)*,!CEONEP!2:-)(!5*0/(6/!634,!731!234,--(+8!DHI!/0/),2/>!K*,!6325-,),!234,-! (/!A./,4!3+!.!/(+8-,!5.(1!37!DHI!6*.++,-/!63253/,4!37! (+-,)! $!3:)-,)!6*.++,-<!5313:/!B.--!.+4!)*,!./*! -.0,1>!?-),1+.)(+8!5-:8/!/,.-(+8!)*,!(+-,)Q!.+4!3:)-,)!6*.++,-/!7316,!)*,!/33)!-3.4,4!,;*.:/)!8./!)3!7-3B!)*13:8*!)*,!5313:/!B.--/<! B*,1,! )*,! /33)! (/! 4,53/(),4! (+)3! 5313:/! /)1:6):1,! .+4! .)! .! 813B(+8! /33)! 6.R,! -.0,1>! S)! (/! .4@.+).8,3:/! )3!/,5.1.),!)*,!234,--(+8!37!.!DHI!(+)3!/,@,1.-!/).8,/>!S+!.!7(1/)!/).8,!)*,!51,//:1,!4135!3@,1!)*,!6325-,),!DHI!6*.++,-!/)1:6):1,!:+()!6,--! (/!.+.-0/,4!(+!.!CIDQ.+.-0/(/<!.-/3! (+631531.)(+8!+3+-(+,.1!51,//:1,! -3//!63+)1(A:)(3+/!4:,!)3!7-3B!63+)1.6)(3+!.+4!,;5.+/(3+!.)!)*,!6*.++,-!(+.+4!3:)-,)/>!K*,!51,//:1,!4(77,1,+6,!.613//!)*,!5313:/!B.--/!.+4!)*,!/33)!6.R,!73--3B/!7132!D.160T/!P.B>!S+!.!+,;)!/).8,!)*,!/33)!4,53/()(3+!B()*!()/!,77,6)!3+!)*,!5,12,.A(-()0!37!)*,!5313:/!B.--/! .+4! (+()(.)(3+! 37! /33)! 6.R,! 813B)*! (/! (+6-:4,4! (+)3! )*,! .+.-0/(/>! H*,+32,+3-38(6.-! .5513;(2.)(3+/! 3+! .!63+)(+::2! -,@,-! .1,! .55-(,4! )3! .663:+)! 731! )*,! 4(77,1,+)!2(613/635(6! .+4! 23-,6:-.1! 5136,//,/! 37! /33)! 4,53/()(3+!B()*(+!.+4!.)!)*,!/:17.6,!37!)*,!5313:/!B.--!/)1:6):1,/!>!K*,1,!(/!.!/)13+8!A3)*!B.0!(+),1.6)(3+!A,)B,,+!8./!7-3B!7(,-4!.+4!/33)!4,53/()(3+>!K*,!234,-!1,/:-)/!.1,!6325.1,4!)3!,;5,1(2,+).-!2,./:1,/!37!)*,!DHI!7(-),1!/,82,+)/>!?!7:1)*,1!-,@,-!37!234,-!.+.-0/(/!(/!+,6,//.10!)3!.663:+)!731!+3+Q(4,.-!,77,6)/!37!)*,!2,./:1(+8!/0/),2>!!8$9:"4#)U!4(,/,-!5.1)(6:-.),!7(-),1/<!/33)!7(-)1.)(3+<!6.R,!7(-)1.)(3+!! !

Page 35: 1st conference on multiphysics simulation advanced methods for

35

Page 36: 1st conference on multiphysics simulation advanced methods for

36! "#!$!#%!

!

"#!$%&'()*+,(-,!.(/%&0'(12!(2!3(14$56(-0&!7))&(-0'(12,!!

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

Page 37: 1st conference on multiphysics simulation advanced methods for

37! "#!$!%&!

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email protected]]! T360M! 8./! 8./61! 8+17;! .:)+5+L3)+.(! +(! )*1! 8+17;! .8! 6.5:4)3)+.(37! 6*15+,)/=?!U).5+,)+6! 8./61! 8+17;,! /1:/1,1()! 3!547)+,6371!2/+;>1!)*3)!6.((16),!*+>*9/1,.74)+.(!<43()45!516*3(+6,!0(.-71;>1!).!6.3/,1/!5.716473/!516*3(+6,923,1;!5.;17,?!F./61!8+17;!.:)+5+L3)+.(!*3,!,.!83/!211(!3!)+5196.(,45+(>!3(;!1//./9:/.(1!:/.61,,M!3(;!+,!3!).:+6!-*1/1!)*1!4,1!.8!3!,6+1()+8+6!-./087.-!63(!:/.A+;1!.2A+.4,!>/13)!21(18+),?!U,!3!63,1!,)4;=M!-1!>1(1/3)1!3!>3,9:*3,1!8./61!8+17;!8./!51)*3(.7!,4+(>[email protected]]!T360M!-+)*!,:16+37!3))1()+.(!>+A1(!).-3/;,!;1/+A+(>!:3/)+37!3).5+6!6*3/>1,?!)))

Page 38: 1st conference on multiphysics simulation advanced methods for

38! "#!$!%&!

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`*-56!5.H,32!:/.-*!7(+,32!\F!.=/.5,13!.+*!5>:,-.//>!)17*//*7!50+1(20!.!6>65*)!18!:.+5,./!7,88*+*35,./!*C(.5,136;!<0*!9.:1+,4.5,13!18!^.5*+!.=19*!aVV`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b]G6!.37!/*9*/!6*56!81+!50*!5+.-H,32!18!50*!8+**!=1(37.+>;!EFG6!.37!/*9*/!6*56!.+*!:*+8*-5/>!7*6,23*7!81+!50*!-0.//*32,32!:+1=/*)!18! 5+.-H,32! .37! 3()*+,-./! 0.37/,32! 18! 50*! 5,)*M7*:*37*7! 71).,3! =1(37.+>L! =*-.(6*!EFG6! .+*! .=/*! 51! +*61/9*! .3!.+=,5+.+>! 60.:*7! 71).,3! =>! .! +*2(/.+! 2+,7! .37! .3! .7.:5,13! 18! 50*! =.6,6! 8(3-5,136! ,3! 50*! 9,-,3,5>! 18! 50*! 71).,3!=1(37.+>;!D/61!50*!0.37/,32!18! 50*!7,6-135,3(1(6!*/*-5+,-!-137(-5,9,5>!=*5^**3!50*!2.6*1(6!.37!50*! /,C(,7!71).,3!-.3!=*!0.37/*7!=>!50*!EFG6!=>!.71:5,32!50*!=.6,6!8(3-5,136! ,3!50*!9,-,3,5>!18!50*! ,35*+8.-*;!<0(6!50*!EFG6!.//1^!51!61/9*! 50*! :+1=/*)6! ^,501(5! +*)*60,32! 13! .! +*2(/.+! 2+,7! +*6(/5,32! ,3! .! *31+)1(6! 6:**7(:! 18! 50*! -1):(5.5,13!-1):.+*7!51!.!-/.66,-./!8,3,5*!*/*)*35!7,6-+*5,4.5,13!13!.3!,++*2(/.+!2+,7!.37!50*!+*C(,+*7!+*)*60,32;!?(+!3()*+,-./!*O:*+,)*356!.//1^!51!9,6(./,4*!.37!51!.3./>4*!50*!9.:1+,4.5,13!81+!9.+,1(6!-138,2(+.5,136!18!:+1=*6!.37!6(++1(37,32!=/117!9*66*/6;!;$<=,%>7P!\.7,18+*C(*3->!.=/.5,13L!-1):16,5*!`3,5*!*/*)*35L!/*9*/!6*5!)*5017L!8+**!=1(37.+>!:+1=/*)!***

Page 39: 1st conference on multiphysics simulation advanced methods for

39! "#!$!%#!

!"#$%&'(%)*+"(,-%)./"01,2%3#//"01,%4,',2526,78',7#/"9#:;,6;*+#<,=*"01,=/+:>*%)03,!!"#$%&"'$(&)#*#+$,-#./*0'$1/2+$3-45#-$/*0$65&"5/7/2$89/-9&#$:$;*<=#="=-$>&2$?@<=-)$A-B-.$;*=-42/=#&*'$C0#*5"249$C:)/#.D$9"#E@&"F<.#:#*<=#="=-E/7E"+$$!&'()*+,''-).! /01! 23! 4,55*! -*! (! +6)7(8,)2(5! 2,49)-:6,! -)! ;-32,49)353.<=! >52'(*36)7! /01! 7,5-?,'<@! A9-49! 62-5-B,*!4(?-2(2-3)! 23! +3'8!',?,'*-;5,!C3'3*-2<! -)! 29,!8,8;'(),!3+!(!4,55@!9(*!*,?,'(5! -8C3'2()2!(7?()2(.,*!3?,'!329,'!/01!7,5-?,'<! 2,49)353.-,*! ()7! 296*! 9(*! ;,,)! ',43.)-B,7! (*! ()! -7,(5! (CC'3(49! +3'! C5(*8-7! 3'! /01! +'(.8,)2! 7,5-?,'<=!D3A,?,'@!83*2!652'(*36)7!/01!7,5-?,'<!8,2937*!',C3'2,7!23!7(2,!6*,7!8(4'3!?3568,*!A-29!43)?,)2-3)(5!652'(*3)-4!,:6-C8,)2!5-E,!652'(*3)-4!-88,'*-3)!93')*!3'!652'(*3)-4!;(29*=!1!FGFH!652'(*36)7!/01!7,5-?,'<!7,?-4,!C'38-*-).!(!5(;I3)I49-C! (CC'3(49! 23! 652'(*36)7!/01!7,5-?,'<! 9(*! ;,,)! C'3C3*,7=! &9,! 43',! ,5,8,)2! -*! (! C-,B3,5,42'-4-2<! ;(*,7!FGFH! 652'(*36)7! 2'()*764,'! *-26(2,7! 3)! 23C! 3+! (! *-5-43)!8-4'3! 49()),5! A-29! JFF1! 43?,'=! &3! 3;2(-)! (! *2'3).!+346*-).! ,++,42! 438;-),7! A-29! 53A! 8()6+(426',! 43*2*@! (! ;3A5I*9(C,7! 150! 29-)! +-58! *2'6426',! A-29! (! '(7-6*! 3+!46'?(26',!3+!%KK!8@!(!*C()!3+!LMK!8!()7!(!29-4E),**!3+!"!8!-*!(73C2,7!(*!29,!2'()*764,'=!N3'!()!()(5<2-4(5!C'33+!3+!43)4,C2!3+!29-*!(CC'3(49@!29,!C-,B3I(436*2-4!436C5-).!837,55-).!3+!29,!*<*2,8!9(*!;,,)!4(''-,7!362!6*-).!OPFHPQ!8652-C9<*-4*R! ()7! ;329! -2*! (436*2-4*! ()7! FGFH! 83765,*=! &9,! (436*2-4! C',**6',! -)! 29,! 5-:6-7! -*! 7,+-),7! ;<! 29,!(44,5,'(2-3)! 3+! 29,! *6'+(4,! 3+! 150! 2'()*764,'!A9-49! -*! 4(5465(2,7! ;<! C-,B3,5,42'-4!837,55-).@! ()7! -)! 26')! C'3?-7,*!',*-*2()4,!',*2'-42-).!29,!83?,8,)2!3+!29,!2'()*764,'!*6'+(4,=!O38C('-*3)!3+!29,!C',**6',!(8C5-267,!-)!29,!5-:6-7!-)!29,!8-4'3!49()),5!A-29!4(?-(2-3)!29',*9357*!()7!29,!;6;;5,!7<)(8-4!,++,42*!*6..,*2!29(2!29,!(436*2-4!C',**6',!-*!9-.9!,)36.9!23!.,),'(2,!8-4'3!;6;;5,*!()7!29,)!4355(C*,!29,8=!N3'!(426(2-3)!+',:6,)4-,*!;,2A,,)!SFDB!()7!MFDB!()7!()!(426(2-3)!?352(.,!3+!SKKT!1O!;6;;5,*!A-29!*-B,*!;,2A,,)!S!8!()7!M!8!-)!7-(8,2,'!4()!;,!4',(2,7!3'!4355(C*,7=!&9,!*-865(2-3)*!-)7-4(2,!29(2!29,!43)4,C2!3+!FGFH!652'(*36)7!/01!7,5-?,'<!*<*2,8!-*!+,(*-;5,=!?#;@%:3*U!652'(*36)7!/01!7,5-?,'<@!FGFH@!5(;I3)I(!V49-C@!C-,B3I(436*2-4!436C5-).!837,55-).!!!!-%)./#3,6"<)/>+"%0,%4,A"*(%#/>*+"(,':+#:;,>03,8#@+%0">0,B/%%3,C/%@,2%3#/*,$?-*&.$ G#<+#*'$ 1E$ ?-20/2$ 8-.-5#$ :$ ;<=/*5".$ H-79*#7/.$ I*#B-2<#=@'$ ;*>&2)/=#7<$ ;*<=#="=-'$ 8&)J"=/=#&*/.$ ?7#-*7-$ /*0$C*4#*--2#*4$(-J/2=)-*='$;<=/*5".$C)/#.D$<-*&.EJ#<+#*F5-E#="E-0"E=2$!1!436C5-).!;,2A,,)!(!?-*43,5(*2-4!*2'6426'(5!837,5!()7!(!0,A23)-()!+53A!837,5!-*!*267-7,7=!1!5('.,!('2,'<!;,9(?-36'!-*!837,5,7! (*! -*32'3C-4@! 9383.,),36*@! ?-*43,5(*2-4!837,5!A9-5,! 29,! ;5337! +53A! -*!837,5,7! (*! ()! -)438C',**-;5,@!0,A23)-()!+53A!837,5=!&9,!?-*43,5(*2-4!;,9(?-36'!3+!29,!('2,'<!-*!7,+-),7!6*-).!J'3)<!*,'-,*=!&9,!,++,42!3+!?-*43,5(*2-4!;,9(?-36'!3)!29,!+53A!-*! -)?,*2-.(2,7!;<!?-*6(5-B-).!29,!?,534-2<!C'3+-5,!()7!C',**6',!7-*2'-;62-3)!29'36.9!29,!('2,'<@!()7!29,!,++,42!3+!;5337!+53A!3)!29,!?-*43,5(*2-4!('2,'<!-*!-)?,*2-.(2,7!;<!C5322-).!29,!C',**6',I*2'(-)!',5(2-3)=!

! !

Page 40: 1st conference on multiphysics simulation advanced methods for

40! "#!$!%&!

!

"#!$%&'()!$*)+,-'*./!*/!0(1*2,(!3/4*/((5*/4!-/6!378.9*,*'%!!

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

!

Page 41: 1st conference on multiphysics simulation advanced methods for

41! "#!$!%&!

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

!! Y.8./7,/:!456,785!5/5>:=!<5>B2>3./75-!H,16!;>,4.9,8,1=!./;!165>3.8!723B2>1!!!! (7>2--!456,785!5/:,/55>,/:!85458-R!B>23!72/75<1!12!;51.,85;!5/:,/55>,/:!./;!B>23!723<2/5/1!12!B088!456,785!!!! K23<.1,985!H,16!./=!456,785!.>76,15710>5!\!GKQD!6=9>,;D!3,8;!6=9>,;D!58571>,7!!!! I./.:,/:!165!:>2H,/:!723<85M,1=!2B!72/1>28!./;!58571>2/,7!-=-153-!!

Page 42: 1st conference on multiphysics simulation advanced methods for

42! "#!$!%&!

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`-7-.)0! )73-.:,0-*!1-3>--7!3(-!-F)*3)78!;-()06-!AND!,7/!054+57-73!45/-6*! :.54!4263)/54,)7!45/-6)78! 3556*!,.-!/)*02**-/@!Q5.! 3(-!724-.)0,6! )73-8.,3)57!5:! 3(-! :266! ;-()06-! *9*3-4?!0-73.,6!,7/!+-.)+(-.,6!,++.5,0(-*!,.-!,7,69P-/@!D2)3,16-!724-.)0,6!,685.)3(4*!,.-!+.-*-73-/!>()0(!5;-.054-!3(-!*3,1)6)39!,7/!/.):3H5::!+(-754-7,!=75>7!:.54!3(-!3.-,34-73!5:!/)::-.-73),6H,68-1.,)0!-B2,3)57*!,7/!,665>!.-,6H3)4-!*)426,3)57@!!M24-.)0,6!.-*263*!,.-!*(5>7!>()0(!+.5;-!3(-!:-,*)1)6)39!5:!3(-!052+6)78!5:!054+57-73*!:.54!4263)H/54,)7!45/-6)78!3556*!,7/!3(-!-F)*3)78!;-()06-!AND!*9*3-4!,7/!)3*!724-.)0,6!3.-,34-73@!

Page 43: 1st conference on multiphysics simulation advanced methods for

43! "#!$!%&!

!"#$%&'(%)#&*+",*'-#""./0,'1,2.(.'/,3+%%#&.#4,!"#$%&'!()#%&**+!,&-.!/&01#$-$%23'+!4)**5*6!751156!80&3*#$.)0!9:9!;%&5-<!"#$%&'=()#%&**>5?5=.0&3*#$.)0=@)!!'()(*+! ,-../0(/1! 23-4! -+! (52*0.-+.! 0*3/! -1! /+/064! 1.*0-6/! 141./51! (+! -7.*5*.(8/! -223(9-.(*+1! 3(:/! ;4,0(<! /3/9.0(9!8/;(93/1=! >*0! -+! /??(9(/+.! 71/! (+! 179;! -223(9-.(*+1! ;(6;!</5-+<1! -0/!5-</!*+!,-../0(/1! 0/6-0<(+6! .;/(0! *2/0-.(*+-3!9*+<(.(*+1=!@/9-71/!*?!.;/!;/-.!6/+/0-.(*+!<7/!.*!;(6;!9;-06/1!-223(/<!(+!.;(1!?(/3<A!-+!-9.(8/!9**3(+6!*?!.;/!9/331!(1!0/B7(0/<=!C;/!*,D/9.(8/!*?!.;(1!2-2/0!(1!.*!20/1/+.!-!5*</3A!E;(9;!9-+!,/!71/<!(+!.;/!</1(6+!20*9/11!*?!,-../04!2-9:1A!1.-0.(+6!E(.;! .;/! 1(573-.(*+!*?!,-../04!,/;-8(*70! .*! .;/!2*(+.!*?!5*</3),-1/<!/+/064!5-+-6/5/+.!9*+.0*33/01!-+<!9**3(+6!1.0-./6(/1=!C;/!5*</3!0/20/1/+.1!.;/!/3/9.0(9-3!,/;-8(*70A!(=/=!.;/!20*60/11(*+!*?!.;/!./05(+-3!8*3.-6/!-+<!.;/!6/+/0-./<!.;/05-3!<(11(2-.(*+!3*11!7+</0!</?(+/<!*2/0-.(*+-3!9*+<(.(*+1A!-+<!.;/!.;/05-3!,/;-8(*70A!(=/=!.;/!./52/0-.70/!<(1.0(,7.(*+!*?!.;/!9/33=!C;/!.;/05-3!5*</3!(+937</1!.;/!?3*E!*?!.;/!9**3-+.A!E;(9;!(1!9-3973-./<!71(+6!9*527.-.(*+-3!?37(<!<4+-5(91=!>70.;/05*0/! (+./0-9.(*+1!<7/! .*!.;/!./52/0-.70/)</2/+</+94!*?! .;/!/3/9.0(9-3!5*</3!-0/!.-:/+! (+.*!-99*7+.=!F-0-5/./0!/1.(5-.(*+! ?*0!,*.;!2-0.1!*?! .;/!5*</3! (1!<*+/!1/2-0-./34! (+!-! .E*)1.-6/!-36*0(.;5!,4! ?(..(+6! .;/!5*</3!*7.27.!.*!/G2/0(5/+.-3!<-.-=!,,,!5+"6+%./0,7"6.-,7"'8,+/-,9)#&*+",!11#$%4,1'&,76#",:#"",;6*.-.%<,=#/4'&,>#4.0/,,,!A?)*!,)51B+!C*@0)&'!75-@)+!DE06!/0)1'F#*)5@)0!G!80&3*#$.)0!99AH;CA!!I&0'1)*!A&6)0+!J$11.05)@!,5F#1)0+!A1).&*!7$'F#)F#!H!9*1)--56)*1)!A)*'$0'K'1)%)!L0)'@)*!J%M4+!L0)'@)*!;%&5-<!'?)*=0)51B>)&'=55'=.0&3*#$.)0=@)!!H*</0+!?7/3!9/331!0/B7(0/!;(6;!0/3-.(8/!;75(<(.4!IJKL!*?!-,*7.!&MN!*?!.;/!0/-9.-+.!6-1/1!;4<0*6/+!-+<!*G46/+$-(0!(+!-! ./52/0-.70/! 0-+6/! *?! OMPQ)&MPQ! ?*0! *2.(575!/??(9(/+94=! R12/9(-334! JK!571.! ,/! :/2.!E(.;(+! .(6;.! .*3/0-+9/1A! -1!9*+</+1/<!E-./0!E*73<!0/<79/!/??/9.(8/!-0/-!*?!.;/!?7/3!9/33!/3/9.0*</1A!E;(3/!3*E/0!;75(<(.4!E*73<!<04!*7.!.;/!?7/3!9/33S1!5/5,0-+/!-+<!3/-<!.*!2/05-+/+.!<-5-6/=!K75(<(.4!1/+1*01!1;*73<!/+-,3/!/??/9.(8/!5/-170/5/+.!-+<!9*+.0*3!*?!.;/!0/-9.-+.1S!0/3-.(8/!;75(<(.4=!K*E/8/0A!7+</0!6(8/+!;-01;!9*+<(.(*+1A!5/-170(+6!JK!2*1/1!1/8/0-3!20*,3/51!?*0!1.-+<-0<A! E-./0! -<1*02.(*+! ,-1/<A! 2*345/0! 1/+1*01=! T.! ;(6;! JKA! 5/-170/5/+.1! ./+<! .*! ,/! (+-9970-./! -+<! .;/!2*345/0S1!2/05(..(8(.4!20*2/0.(/1!./+<!.*!</60-</=!>70.;/05*0/A!(?!.;/!1/+1*0!(1!+*.!E/33!.;/05-334!(1*3-./<!-6-(+1.!.;/!717-334!3*E/0!./52/0-.70/!*?!.;/!/+8(0*+5/+.A!E-./0!E(33!20/?/0-,34!9*+</+1-./!*+!.;/!1/+1(+6!/3/5/+.=!U*37.(*+1!.*!.;(1!20*,3/5!0/B7(0/!</.-(3/<!5*</3(+6!*?!;/-.!.0-+12*0.!,4!-!2(2/!?3*E!-0*7+<!-!1/+1*0!1*9:/.!/5,/<</<!(+!-!;/-.!9*+<79.(8/!-+<!9*+8/9.(8/!/+8(0*+5/+.A!/8-37-.(*+!*?!1/8/0-3!9*+1.079.(8/!</1(6+1!E(.;!0/12/9.!.*!.;/05-3!1(+:1!-+<!(+;/0/+.!5/-170/5/+.!/00*01=!V+/!-220*-9;!(+8/1.(6-./<!(+!.;(1!1.7<4!E-1!;/-.(+6!.;/!1/+1*0!2/05-+/+.34A!.;(1!E-4!0/<79(+6!JK!-+<!.;71!-8*(<(+6!E-./0!9*+</+1-.(*+!3*9-334A!,7.!-31*!(+.0*<79(+6!5/-170/5/+.!/00*01!E;(9;!571.!,/!9*00/9./<=! W+! .;(1! 1.7<4A!;/-.! ?3*E!-+<!;75(<(.4!<(1.0(,7.(*+!-0*7+<!.;/!1/+1*0!1*9:/.! -+<! -.! .;/! 1/+1*01! -9.(8/! -0/-!E/0/! -+-34X/<! 71(+6! >R! 1(573-.(*+1!9*723/<! E(.;! -<<(.(*+-3! /B7-.(*+1! ?*0!9-3973-.(+6! JK! (+! .;(1! ;-01;!/+8(0*+5/+.=! C;/1/! 5*</31! -33*E!(+8/1.(6-.(+6!/??/9.(8/!JK!-.!.;/!1/+1*0!/3/5/+.!-1! ?7+9.(*+!*?!2-0-5/./01! 3(:/!(+?3*E! ./52/0-.70/A! 8/3*9(.4! -+<!0/3-.(8/! ;75(<(.4A! 2(2/! E-33!./52/0-.70/! -+<! 1/+1*0! ;/-.(+6! ?*0!1/8/0-3! </1(6+! 8-0(-+.1! *?! 1/+1*0!23-9/5/+.! (+! .;/! ?3*E! -1! E/33! -1!.;/05-3!(1*3-.(*+=!!!7.06&#Y! V8/08(/E! *?! .;/! 172234!1.079.70/! *?! -! ?7/3! 9/33! E(.;! 20*.*+!/G9;-+6/! 5/5,0-+/=! C;/!;75(<(?(9-.(*+! .-:/1! 23-9/! (+! .;/!,0-+9;! ,/.E//+! .;/! ;4<0*6/+!0/9(0973-.(*+! 2*0.! -+<! .;/! ?7/3! 9/33! -1!E/33! -1! (+! .;/! -(0! ,0-+9;! -?./0!9*520/11(*+=!

! !

#3%[email protected]&15$*

Page 44: 1st conference on multiphysics simulation advanced methods for

44! ""!#!$%!

!"#!$%&'()*'+%!+,-!$%&'().,*'!/01(&21!!

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

Page 45: 1st conference on multiphysics simulation advanced methods for

45! "#!$!%&!

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email protected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email protected]!DQKB=!DQKB! (,*! 0(-! ,8)6)0>! 02! )/7614-! 4-;)7-! 324-6*! 5.23! *-;-.,6! -:)*0)/<! *)316,02.*! ,*! -=<=! B+)7-F! D)/)32*S'F! 2.!D,<@-6T'=! '()*! (,*!/20!8--/! )3+6-3-/0-4!8>! 72+>)/<!2.!.-?)3+6-3-/0)/<!+,.0*! 25! 724-!810!8>!1*)/<! 0(-! ,82;-?3-/0)2/-4!*)316,02.*!)/!52.3!25!*(,.-4!6)8.,.)-*=!B)/7-!DQKB!)*!@.)00-/!)/!O>0(2/F!0(-.-!,.-!-,*>?02?1*-!3-7(,/)*3*!02!)3+2.0!51/70)2/*!5.23!*(,.-4!6)8.,.)-*!2.)<)/,66>!<-/-.,0-4!5.23!-=<=!KUU!2.!V2.0.,/=!'()*!)*!/20!2/6>!,!+.,70)7,6!@,>!25!.-?1*)/<!724-!810!,6*2!,[email protected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

Page 46: 1st conference on multiphysics simulation advanced methods for

46! "#!$!#%!

&'!()*+,!-.)//0*)/-,1!-.!&2,!3,)10*,3,.&!'4!-.&,.1-&-,1!50,!&'!&2,1,!-.&,*4,*,./,!,44,/&1!1-./,!&2,!16,/&*)(!*,16'.1,!'4!&2,!1-(-/'.!62'&'5-'5,!-1!/'.7'(0&,5!8-&2!&2,!1&*'.+!3'50()&-'.!'4!&2,!'6&-/)(!&*).13-11-'.!'4!&2,!5-,(,/&*-/!1&)/9:!!;2-1!6)6,*!5,1/*-<,1!&2,!5,7,('63,.&!'4!)!62'&'5-'5,!5,1-+.!&2)&!1-+.-4-/).&(=!*,50/,1!&2,!-.&,.1-&=!3'50()&-'.1!50,!&'! &2,! 5-,(,/&*-/! 1&)/9:!>0*-.+! &2,!5,7,('63,.&!30(&-62=1-/1! 1-30()&-'.1!8,*,! ,36('=,5:! ;2,! 1-30()&-'.1! /'36*-1,!&8'!5-44,*,.&!)66*')/2,1!&2)&!/'3<-.,!'6&-/)(!1-30()&-'.1!'4!&2,!-./-5,.&!*)5-)&-'.!8-&2!,(,/&*-/)(!1-30()&-'.1!'4!&2,!+,.,*)&,5!/2)*+,!/)**-,*1:!?.,!-1!<)1,5!'.!1,7,*)(!)(+'*-&231!5,50/,5!4*'3!<)1-/!62=1-/)(!3'5,(1!/'3<-.,5!-.!)!@AA!4*)3,8'*9!).5!)(('81!7,*=!4)1&!,7)(0)&-'.!'4!.,8!/'./,6&1!<0&!1044,*1!4*'3!*,50/,5!)//0*)/=!50,!&'!)66*'B-3)&-'.1!-.! &2,!)(+'*-&231:!;2,!'&2,*!)66*')/2! -1!<)1,5!'.!4-.-&,!5-44,*,./,! &-3,!5'3)-.! CD>;>E!1-30()&-'.1!'4! &2,! -./-5,.&!*)5-)&-'.! /'3<-.,5!8-&2!.03,*-/)(! 1-30()&-'.1!'4! &2,!+,.,*)&,5! /2)*+,! /)**-,*1F!82-/2!6*,/-1,(=! &)9,! -.&'!)//'0.&!/'36(,B!62=1-/)(!3'5,(1!).5!+,'3,&*-,1!<0&!.,,51!,B&,.1-7,!&-3,!&'!1-30()&,:!G&!8-((!<,!5,3'.1&*)&,5!2'8!&2,!6*'6,*!/'3<-.)&-'.!'4!&2,1,!&8'!)66*')/2,1!(,)51!&'!).!,44-/-,.&!6*'/,50*,!4'*!&2,!5,7,('63,.&! '4! ,(,/&*'H'6&-/)(! 5,7-/,1! 6*-'*! &'! &2,! 4-*1&! 4)<*-/)&-'.! )/&-7-&-,1F!82-/2! -1! -36'*&).&! 50,! &'! &2,! 20+,!,44'*&F!<'&2!-.!/'1&!).5!&-3,F!&2)&!-1!-.7'(7,5!-.!@I?J!4)<*-/)&-'.:!!"#$%&'(K!@I?JF!-3)+-.+F!16,/&*'1/'6=!)))*"+"&,-./+-%.)%0)12&%((34/0"&)5/&-/+-%.()%0)6&/.(-(+%&)78/&/2+"&-(+-2()9#)7%:;<-.=)>?:-;,".+)@-,:</+-%.)$-+8)6"28.%<%=#)7%,;:+"&31-'"')*"(-=.)A671*B)!"#!$%&'()*!+#!,-.()/01*!2#!$-)3(.*!4#!,%(.*!5#!60.()7!8!9.%-):0;(.!<<=,!4.>%)?()!4&%@>A!(B(.:%.3#B%(.C@@DB#;.%-):0;(.#3(!!;2,! /'.&-.0'01! 12*-.9-.+! '4! &'5)=L1!I?JDM;! C3,&)(H'B-5,H1,3-/'.50/&'*! 4-,(5H,44,/&! &*).1-1&'*E! 5,7-/,! 5-3,.1-'.1!(,)51! &'! )! 1-+.-4-/).&! -./*,)1,! '4! &2,! -36)/&! '4! 6*'/,11! 7)*-)<-(-&=! '.! &2,! ,(,/&*-/)(! 6,*4'*3)./,:! N)*-)&-'.1! '4! &2,!62=1-/)(! +)&,! (,.+&2F! *,10(&-.+! 4*'3! (-&2'+*)62=! ).5! ,&/2-.+F! )*,! 6)*&-/0()*(=! /*-&-/)(:! G&! 2)1! <,,.! 5,3'.1&*)&,5! -.!6*,7-'01!8'*9!&2)&! (-&2'+*)62=H-.50/,5!7)*-)&-'.1!'4! &2,!62=1-/)(!+)&,! (,.+&2!2)7,!)!3)O'*! -36)/&!'.!&2,!,(,/&*-/)(!6,*4'*3)./,!'4!<'&2!/()11-/)(!<0(9!I?JDM;1!).5!40((=!5,6(,&,5!1-(-/'.H'.H-.10()&'*! CD>!J?GE!I?JDM;1:! G.! &2-1!8'*9F!&2,!-36)/&!'4!,&/2-.+H-.50/,5!7)*-)&-'.1!'4!&2,!+)&,!+,'3,&*=!'.!&2,!,(,/&*-/)(!6,*4'*3)./,!'4!I?JDM;1!).5!JPQI!/,((1! -1! -.7,1&-+)&,5:!;2-1!-1!)/2-,7,5!<=!)!.,8!3,&2'5'('+=!82-/2!-1!<)1,5!'.!/'3<-.-.+!30(&-H62=1-/1!1-30()&-'.1F!;@Q>!1-30()&-'.1F!).5!JRG@M!C1-30()&-'.!6*'+*)3!8-&2!-.&,+*)&,5!/-*/0-&!,362)1-1E!1-30()&-'.1:!D'*!5,1/*-<-.+!&2,!,&/2-.+!'4!&2,!&*).1-1&'*!+)&,!,(,/&*'5,F!).!-.50/&-7,(=!/'06(,5!6()13)!CG@RE!*,)/&'*!8-&2!/2('*-.,!/2,3-1&*=! -1! /'.1-5,*,5:! MS0-63,.&! 1-30()&-'.1! 4'*! 4-B,5! /'.5-&-'.1! 2)7,! <,,.! /)**-,5! '0&F! 6*'7-5-.+! &2,! 4(0B,1! '4!.,0&*)(! ).5! -'.-/! 16,/-,1! 4'*! )((! 6'1-&-'.1! '.! )! TUU!33!8)4,*:! ;)9-.+! &2,1,! 4(0B,1! )1! -.60&! <'0.5)*=! /'.5-&-'.1F!4,)&0*,H1/)(,!1-30()&-'.1!01-.+!)!10*4)/,!,&/2-.+!3'5,(!8-&2!)!I'.&,!@)*('! -36(,3,.&)&-'.!2)7,!<,,.!6,*4'*3,5:!D*'3!&2,!1-30()&-'.! *,10(&1! &2,! 4*,S0,./=!5-1&*-<0&-'.!'4! &2,!+)&,!/*-&-/)(!5-3,.1-'.1! C@>E!2)1!<,,.!,B&*)/&,5:!;2-1!-.4'*3)&-'.!8)1!6)11,5!&'!JRG@M!1-30()&-'.1!4'*!RI?J!).5!VI?J!&*).1-1&'*1!)1!8,((!)1!'4!).!JPQI!/,((:!Q1!*,10(&F!&2,!6*'<)<-(-&=!5-1&*-<0&-'.1!'4!&2,!&2*,12'(5!7'(&)+,1!'4!&2,!&*).1-1&'*1!).5!'4!&2,!1&)&-/!.'-1,!3)*+-.!CJVIE!'4!&2,!JPQI! /,((! )*,! '<&)-.,5:! D'*! )((! 5-1&*-<0&-'.1F! )! 1&*'.+! )1=33,&*=! -1! '<1,*7,5:! Q1! ).! ,B)36(,F! -.! &2,! 4-+0*,! &2,!6*'<)<-(-&=! 5-1&*-<0&-'.! '4! &2,!I?JDM;! &2*,12'(5! 7'(&)+,!*,10(&-.+! 4*'3! &2,! ,&/2-.+H-.50/,5! )/*'11H8)4,*! +)&,!@>!7)*-)&-'.1!-1!12'8.:!!

E.0B%B@>@FG!3@DF.@B-F@0)!;-)HF@0)!0;!F:(!F:.(D:0>3!10>F%?(!.(D->F@)?!;.0&!(FH:@)?8@)3-H(3!%H.0DD8I%;(.!1%.@%F@0)D!0;!F:(!H.@F@H%>!3@&()D@0)!J"2K!0;!F:(!?%F(!(>(HF.03(#!

Page 47: 1st conference on multiphysics simulation advanced methods for

47! "#!$!%&!

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

=-3/+48-+>!M+0-(.2!(.!9(.4!)*0)!)*+!-+07!902.+)(/!6(+74!! !4+=+.41!+.)(-+75!3.!)*+!4+-(,0)(,+! "!"# !0.4!)*0)!)*+!6(+74!

! ! *01! .3)! 0.5! -+70)(3.1! A()*! )*+! 4+-(,0)(,+ "$%&' B! )*+! ,078+! 36! )*+! 701)! 1=+/(07! 4+-(,0)(,+! (1! 6-++! )3! <+! /*31+.!0-<()-0-(75>!!

K38.4! (.! )*+! =0=+-! +@80)(3.! 01! 2082+! /3.4()(3.! (.! )*+! N0-)+1(0.! /33-4(.0)+! A()*! -+1=+/)! )3! )*+! !%&' ! (1! )*+!63773A(.2!!!

(%&'!!!

)*+,

*+,"!!

!!! ""

""#$ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!OIP!

Q)! (1! /7+0-! )*0)! )*(1! +H=-+11(3.! (1! )-0.163-9+4! )3! )*+! A+77;G.3A.! 2082+! /3.4()(3.! 63-! )*+! @801(;1)0)(3.0-5!+7+/)-3902.+)(/! 6(+74! (.! (13)-3=(/!9+4(89>!?==75(.2! OIP! )*+! 151)+9! (1! -+48/+4! )3! )*-++! (.4+=+.4+.)!3.!+0/*!3)*+-!+@80)(3.1>!L0/*!36!)*+9!(./784+1!0!1(.27+!3.+!36!)*+!902.+)(/!,+/)3-!=3)+.)(07!/39=3.+.)1!3.75>!!M+/081+!36!)*(1!)*+!1378)(3.1!0-+!+01(75!)3!<+!904+>!F*+!3<)0(.+4!151)+9!(./784(.2!)*+!4+1/-(<+4!(.4+=+.4+.)!+@80)(3.1!(1!=-+1+.)+4!01!63773A1R!

(-."/*

.!

+

.!

,

.!

-."/*

.!

+

.!

,

.!

-."/*

.!

+

.!

,

.!

0***1

*

1

*1

*

1

,1

*

1

+

0+++1

+

1

,1

+

1

+1

+

1

*

0,,,1

,

1

+1

,

1

*1

,

1

,

!!!!!

!!!!!

!!!!!

#$#%

%"

%

%"

%

%

#$#%

%"

%

%"

%

%

#$#%

%"

%

%"

%

%

!

!

!

!

!Q.! )*+!=0=+-! )*+!+H=-+11(3.! (1!0713!3<)0(.+4!0.4! (1!=-3=31+4!01! )*+!2082+!/3.4()(3.!0==7(/0<7+! ! ! ! )3! ! ! !0.(13)-3=(/!9+4(89!(.!/57(.4-(/07!/33-4(.0)+!151)+9>!!F*+!3<)0(.+4!-+70)(3.1!0-+!,07(4!A*+.!)*+!90(.!0H+1!36!0.(13)-3=5!/3(./(4+!A()*!)*+!90(.!/33-4(.0)+!0H(1!36!)*+!(.,+1)(20)+4!4+,(/+>!

Page 48: 1st conference on multiphysics simulation advanced methods for

48! "#!$!%&!

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

!! F65+-/!8-2<3.A!53/-7*! 34! 2(-! 035+38-82*!34! 2(-! 0).06)2! 1.-,A-.! 43.! 2(-! 0,7067,2)38!34! 2(-! *(3.2=0).06)2!06..-82>! G8! 2()*!53/-7! .-*672*! 34! +.-:)36*! 4)8)2-=-7-5-82! 0,7067,2)38*! ,.-! 4-/! )823! 2(-! *)567,2)38!53/-7! ,*!2<3B/)5-8*)38,7!2,17-*>!

!! H-I6-82),7! 036+7)89! 34! 4)8)2-=-7-5-82! 03/-*! <(-.-! 2(-! .-*672! 34! 38-! 0,7067,2)38! )*! 6*-/! ,*! 73,/! 43.! 2(-!*61*-I6-82!*)567,2)38!<)2(!8-97)9)17-!.-2.3=,02)38>!

!! ')9(2! 036+7)89! 34! 5,98-2)0! 4)-7/! ,8/! 476)/! /;8,5)0! *)567,2)38*! 2(,2! .68! *)5672,8-36*7;! ,8/! *(,.-! /,2,!<(-8-:-.!2(-!.-*672*!*(3<!2(,2!)2!)*!8-0-**,.;>!

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

Page 49: 1st conference on multiphysics simulation advanced methods for

49

Page 50: 1st conference on multiphysics simulation advanced methods for

50! "#!$!%&!

!

"#!$%&'()*(+,(-&(./01!2%.,'(3./&!$3,4)5-!!

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

!!

Page 51: 1st conference on multiphysics simulation advanced methods for

51! "#!$!%&!

!"#!$$%&!'(#)&%#*+,-.!/+&"#&)#/(0#12"!,+'*#&)#.+"0!%#!'/-!/&%*#

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

!E3=9!#9!N065/30.!*,01)75,)!02!/()!*,0*0-)7!+**,0+1(!!'()!+7A+./+=)!02!/()!*,0*0-)7!+**,0+1(!3-!/(+/!3/!+660@-!2+-/!456/3*6)!-065/30.-!20,!7322),)./!-5**68!A06/+=)->!)B/),.+6!13,153/!*+,+4)/),-!0,!4)1(+.31+6!60+7-9!O.1)!/()!;315;31!-*63.)!+**,0B34+/30.-!+,)!0;/+3.)7>!+66!/()-)!1(+.=)-!1+.!;)!/+C).!3./0!+1105./!3.!/()!6+-/!*+,/!F!-06A3.=!/()!-8-/)4!02!0,73.+,8!7322),)./3+6!):5+/30.-9!D.!1+-)!02!1(+.=)!/()!-5**68!A06/+=)!0,!-04)!)B/),.+6!13,153/!*+,+4)/),->!0.68!/()!J+/6+;!-065/30.!02!/()!-8-/)4!02!0,73.+,8!7322),)./3+6!):5+/30.-!3-!/0!;)!*),20,4)79!!'()!4+3.!7,+@;+1C!3-!/()!.)=6)1/3.=!02!)778!15,,)./-9!P+A3.=!3.!43.7>!/(05=(>!/(+/!/()!7+4*3.=!10)22313)./!-(0567!;)! 7)23.)7! )B*),34)./+668>! /()! )22)1/-! /()! )778! 15,,)./-! 1+.! ;)! /+C).! 3./0! +1105./! G10.-37),3.=! /()3,! 3.265).1)! +-!4+=.)/31!7+4*3.=H!@3/(!,)-*)1/!/0!/()!/34)!02!40/30.!;8!/(3-!10)22313)./9!Q-! 3665-/,+/30.! 02! /()! *,0*0-)7! +**,0+1(! /@0! +**631+/30.! )B+4*6)-! +,)! =3A).! <! +1/5+/0,! 02! +B3+6! -844)/,8! +.7!+1/5+/0,!02!R?!=)04)/,89!E0,!;0/(!+1/5+/0,-!,)-56/-!2,04!-3456+/30.!+.7!)B*),34)./!+,)!*,)-)./)79!

!"#$%$%&'()*)+","*-'#.*'/$-(0)1"+"%,213**"%,''4!"#5'&*$/'

6$"0/')%)07-$-'(*.1"--.*'

8.,)0'#039'0$%:)&"'!'4.*'$%/31,)%1"';5'

)%/'"0"1,*.+)&%",$1'

#.*1" $

<%,"*+"/$),"'/),)'#$0"'

=>,)$%$%&'>$13>$1'-(0$%"')((*.9$+),$.%-'

.#'!'4.*';5')%/'$%&'')-'#3%1,$.%-'.#'!')%/'#'

?.0@$%&',A"'-7-,"+'.#'.*/$%)*7'/$##"*"%,$)0'"B3),$.%-!

ESJ!).A3,0.4)./! JQ'TQU!).A3,0.4)./!

Page 52: 1st conference on multiphysics simulation advanced methods for

52! "#!$!%&!

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

?=+A:8.=0!(7!7>.8<B!***********

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

Page 53: 1st conference on multiphysics simulation advanced methods for

53! "#!$!%&!

!"#$%&'"(%)*'+,&$-(*'./0"1(20+(&031,*)-$.,0%($-40+,./*1(,%(#'/,&-'(151.'*("5%$*,&1!!"#!$%&'()*+!,-).'/!0)/123!4!,-).'/567.&()!8/'9():'.;.!<-22(5='..(/>()?!@A-'2B!A-).'/#-)/123CA-.&(A-.'D#7/'5&-22(#3(!!'()*+,-./0+(1! /.2(3+04,5! 678.(+0! 046! 098+:/.! ,(;-./3! 503-:0-36! (<! ,-.0+;+5:+8.+1/39! 83(=.6,5! +1! /..! 50/265! (<! 046!5+,-./0+(1! 83(:655! >83683(:655+12?! 0+,6! +10623/0+(1?! 8(50)83(:655+12@A! B6503+:0+12! 046! ;/0/! 67:4/126! =60C661!5-=59506,5! 0(! ;+5:3606! 591:43(1+D/0+(1! 8(+105?! 046! 5-=59506,5! ,/9! =6! +10623/06;! 568/3/06.9! =9! ;+<<63610! 586:+/..9!0/+.(36;! 5(.E635! +1! ;+<<63610! 5+,-./0+(1! 0((.5A! '()*+,-./0+(1! +5! /003/:0+E6! <3(,! 046! E+6C8(+10! (<! ,(;6.! 560-8! =-0!3(=-501655!/1;!6<<+:+61:9!(<!046!365-.0+12!1-,63+:/.!06:41+F-65!<(3!046!:(-8.6;!,-.0+;+5:+8.+1/39!83(=.6,5!/36!0(;/9!50+..! </3! /C/9! <3(,! 046! 50/06)(<)046)/30! +1! :./55+:/.!,(1(.+04+:! 5+,-./0+(1! 0((.5A! G1! 046! 8365610! 8/863?! C6! ;+5:-55! /!.+16/3.9!+,8.+:+0!50/=+.+D/0+(1!06:41+F-6!/1;!=/5+:!:(,8(16105!(<!/!36.+/=.6!,/:3(!50685+D6!:(103(.!+1!:()5+,-./0+(1A!!!(607$+"1(8'$-36,*'(90"'-,&$(:031,*)-$.,0%(7,./(;9<!!<-::(/!<-3E!0A1)+!FG)'2!H-7)(+!,1/?'!I(/!J-'3+!K'%12-:!L()/(.!5!MHL!@A-'2B!&-::(/#&-3E5-A1)C'NO#N)+!/'%12-:#O()/(.C'NO#N)!!H46!I(;6.+:/!./12-/26!+5!+1:36/5+12.9!=6+12!-56;!+1!046!+1;-5039?!C4636!I(;6.+:/)=/56;!,(;6.5!=6:(,6!6,=6;;6;!+1!046!;65+21!.+<6:9:.6!(<!:(,8.67!59506,5A!J5!36;-:+12!04+5!:9:.6!+5!(16!(<!046!+1;-5039K5!,/+1!:(1:6315?!/!236/0!/;;6;!E/.-6!+5!0(!83(E+;6!+1063,6;+/06!E/.+;/0+(1!50685!=6<(36!046!046!<+1/.!59506,!4/5!0(!=6!=-+.0A!J!2.(=/.!5+,-./0+(1!(<!046!59506,?!(1! 36/.)0+,6?!-5+12!=(04!8495+:/.!/1;!:(,8-0/0+(1/.!,(;6.5! +5!/1!/15C63!/5! +0! +5!/!836.+,+1/39! 5068!=6<(36!<-30463!678615+E6!E/.+;/0+(1!50685A!H4+5!8/863!<(:-565!(1!;+<<63610!,604(;5!/1;!2((;!83/:0+:65!0(!(=563E6!+1!(3;63!0(!61/=.6! 046! 36/.)0+,6! 5+,-./0+(1! (<!I(;6.+:/)=/56;!,(;6.5?! <3(,! =(04! 046+3! ;65+21! /1;! 046+3! 1-,63+:/.! 5+,-./0+(1!8(+105! (<! E+6CA! L1! 046! (0463! 4/1;?! /5! 046! <-1:0+(1/.! ,(:M)-8! +1063</:6! >NIG@! 586:+<+:/0+(1! ,/M65! +0! 8(55+=.6! 0(!+10623/06!;+<<63610!8495+:/.!,(;6.5!/1;!61/=.65!046+3!2.(=/.!5+,-./0+(1?!C6!/.5(!50-;9!4(C!04+5!586:+<+:/0+(1!,/9!=6!-56;!0(!<-30463!:(103+=-06!0(!046!36/.)0+,6!5+,-./0+(1!(<!I(;6.+:/)=/56;!,(;6.5A!!!!;9<320+3:0=,*)-$.,0%(!,-).'/!0)/123+!"1A!$%&'()*!5!,-).'/567.&()58/'9():'.;.!<-22(5='..(/>()?!"1):.(/!I21%&P'.*+!"&1A-:!K('3&123!5!M"M!JA><!Q)(:3(/!F&)':.1O&!F2-7R+!$7:-//!=12N!5!H)-7/&1N()!MM$!@0$!Q)(:3(/!@A-'2B!>21%&P'.*C'.'#3(!!!'()*+,-./0+(1! +5! /! 3/0463!26163/.! /883(/:4! 0(! 046! 5+,-./0+(1!(<!:(-8.6;! 06:41+:/.! 59506,5! /1;! :(-8.6;! 8495+:/.! 8461(,61/! +1!612+1663+12A! H46! N-1:0+(1/.! I(:M)-8! G1063</:6! >NIG@! <(3! :()5+,-./0+(1! 83(E+;65! +1063</:65! =60C661! ,/5063! /1;! 5./E65! /5! /!50/1;/3;! <(3! 046! :(-8.+12! (<! 0C(! (3! ,(36! 5+,-./0(35A! H46!+1063</:65! /;;3655! =(04! ;/0/! 67:4/126! +55-65! /1;! /.2(3+04,+:!+55-65A!H46!8/863!83656105!046!+1063</:6!;6<+1+0+(1!+1!063,5!(<!046!83(23/,,+12! ./12-/26! '! /5! C6..! /5! +55-65! (<! /88.+:/0+(1A! H46!+1063</:6!+5!;6<+16;!0(!5-88(30!=(04!5+,8.6!/1;!,(36!5(84+50+:/06;!,/5063!/.2(3+04,5A!H4+5!+5!/!O(+10!C(3M!5-88(306;!=9! 046! P63,/1! QIQN!C+04+1! 046! GHRJS! 83(O6:0!ILTRUG*JBA! G1506/;! (<! :(-8.+12! 046! 5+,-./0+(1! 0((.5! ;+36:0.9! +0! +5!/55-,6;!04/0!/..!:(,,-1+:/0+(1!+5!4/1;.6;!E+/!/!,/5063A!!Q65+;65!;+503+=-0+(1!(<!:(,,-1+:/0+(1!;/0/!046!,/5063!/1/.9565!046!:(116:0+(1!23/84?!:4((565!/!5-+0/=.6!5+,-./0+(1!/.2(3+04,!/1;!:(103(.5!046!5+,-./0+(1!/::(3;+12!04/0!/.2(3+04,A!H4636<(36?!046!,/5063!,-50!=6!/=.6!0(!50/30?!50(8!/1;!36560!046!+1E(.E6;!5+,-./0(35!/0!6/:4!:(,,-1+:/0+(1!8(+10A!H46!5./E65!/36!046!5+,-./0+(1!0((.5?!C4+:4!/36!8368/36;!0(!5+,-./06!046+3!5-=0/5MA!!H46!+1063</:6!=60C661!,/5063!/1;!5./E6!5+,-./0+(1!0((.5!:(15+505!(<!0C(!8/305V!

!! :03=,*)-$.,0%( <%.'+2$&'>! J! 560! (<! ')<-1:0+(15! <(3! 67:4/126! (<! +18-0! E/.-65?! (-08-0! E/.-65! /1;! 50/0-5!+1<(3,/0+(1A!

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

Page 54: 1st conference on multiphysics simulation advanced methods for

54! "#!$!%&!

!

"#!$%&%'()!*+),-./01-21!*%,/341!!

5+%14(0!6+&%!778!79:9;!!<%11-3&!===>?!!!!-&!<-%@%&A%@-'A%!!!B;C9!D*!E!F;G9!D*!H/(-'!I)(+1!J3)K8!L'(+&/3K%'!<HM=!!*N<=OMP!E!(!*34%)-2(!13)Q%'!K3'!R+),->./01-21!.'3@)%R1!S-,/!1,'+2,+'()!Q('-(@-)-,0!!"#$%&'$()'#*%+,-)$(./,%+0'12*%30'4%5#6"78.$"#90'((*%:"("-%;<,#")="-%7%>-'1#,.4"-%??;75@;%%!$%&%'-2!23+.)-&A!3K!:?!<01,%R!H34%1!S-,/!G?!HL?!533)1!@0!*.HH=!:A%&'B-'$B%C%>-'1#,.4"-%;+@?%!*+),-4-12-.)-&('0!N.,-R-T(,-3&!3K!(&!MU-()!5+'@-&%!-&!(!L)+-4><,'+2,+'%!=&,%'(2,-3&!?%1-A&!D'32%11!!.,'##"$%5)#D)#6"-%7%@E;F;%G"-H'#B%GH9I%%3(("-4)#6%!*+),-4-12-.)-&('0!M..'3(2/!,3!,/%!H3R.3&%&,!?%1-A&!3K!(!V%S!MU-()!W04'(+)-2!D+R.!J"$D"K%3$)"<K)%7%G='#$K%L#)M"-$)(B%.4%N"<,#.0.6B%!'#1$D%:)"<,#'%7%O'-$'P%L#)M"-$)(B%.4%N"<,#.0.6B%N.H'$D%Q'P)$(.P$K)%7%;/'<"%8"$"'-<,%+"#("-%.4%(,"%:.0)$,%@<'="HB%.4%;<)"#<"$%!5+%14(0!6+&%!7G8!79:9;!!<%11-3&!X>H!!!!-&!Y/%-&@)-2Z!!!:;G9!D*!E!G;:9!D*!H/(-'!I)(+1!J3)K8!L'(+&/3K%'!<HM=!!M!&%S!R%1/!4%K3'R(,-3&!()A3'-,/R!K3'!,/%!MO[!,%2/&-\+%!EA%R)-<,#"-*%SA%;'1"-*%@%N%%R0.H4'$$%7%>-'1#,.4"-%5S?%%!V+R%'-2()!,'%(,R%&,!3K!1,'3&A)0!23+.)%4!R+),-./01-21!.'3@)%R1!!!'<.9%F$(-TH%7%+3S;3J%@&%;(.<K,.0H%!<-R+)-(!*+),-./01-21!<3)+,-3&1!!A%S""#"#%C%U'$$'10(%;B$("H"$%;)H10)'%GH9I%!L)+-4!=&4+2%4!P)(4%!?-1.)(2%R%&,!(&4!X-@'(,-3&!-&!!(!5+'@3R(2/-&%'0![&Q-'3&R%&,!;"9'$()'#%J")<,(412%7%U"/'-("H"#(%.4%G'$(1-9)#"$%'#=%@"-.$/'<"%:-./10$).#*%N"<,#)$<,"%L#)M"-$)(V(%U'-H$('=(%@#=-"%;('-K"*%N,.H'$%I)0="9-'#=(%7%E1H"<'%?#6"#)"1-9W-.%@0(=.-4%9A%EW-#9"-6%

!

Page 55: 1st conference on multiphysics simulation advanced methods for

55! ""!#!$%!

!"#$%&'()(*(!+,-./0*(1+.2-3(4+3(56.7/89:;1/01(93+<.-51(=/7:(17360763*.(2*3/*</./7;(!"#$%!&'%()'$*!+,-)%(./,!+0'12*!30'4!5$6#78.%#$90'((*!:#(#-!;<,$#)=#-!7!>-'1$,.4#-!??;75@;!!5A')0B!"#$%C&'%()'$D#'%C))%C4-'1$,.4#-C=#!!&'()!*+),-.'/!01!23.+(-.'/!,),234,!.+'(53!2+3-1!*10*312-3,!671-(5!0*31'2-0(8!9:23(;!2+3,3!.+'(53,!0..71!63*3(6-(5!0(!3<3(2,!'**3'1-(5!'2!.312'-(!*0-(2,!-(!2-438!=7.+!,),234,!,+0>-(5!2-43?.0(2-(707,!',!>3//!',!2-43?6-,.1323!@3+'<-01!'13!0:23(!.'//36!+)@1-6!,),234,8!A+3)!'1-,3! -(!47/2-?*+),-.,!*10@/34,! -(./76-(5!43.+'210(-.,;!4-.10!,),234,;!4-B36?,-5('/! C'('/05?6-5-2'/D! -(2351'236! .-1.7-2,;! 34@36636! ,),234,;! 10@02-.,! 32.8! EB'4*/3,! :01! ,217.271'/! .+'(53,! '13!.0//-,-0(,!0:!4',,3,!'(6!F4'B-474!6-,2'(.3G!*+3(043('!C.0(,21'-(36!<,8!:133!40<343(2D!-(!43.+'(-.,!01!,>-2.+3,!'(6!13/'),!',!>3//!',!6-063,!'(6!2+)1-,201,!-(!*0>31!3/3.210(-.,!-:!2+3)!'13!.0(,-63136!',!-63'/!,>-2.+3,8!=-47/'201,! ,7**012-(5! 2+3!6)('4-.! ,-47/'2-0(!0:! +)@1-6! ,),234,!0:23(! .'(!63'/!>-2+! ,-4*/3!4063/! <'1-'2-0(,!0(/)8!H0>3<31;! '! :7(6'43(2'/! .+'(53! 0:! 2+3! 4063/! ,217.2713! ,7.+! ',! '66-(5! 01! 1340<-(5! 6-::313(2-'/! 01! '/53@1'-.!3I7'2-0(,!C,217.271'/!<'1-'@-/-2)D!-,!(02!*0,,-@/3!-(!40,2!,-47/'201,8!J(/-K3!*13,3(2/)!'<'-/'@/3!&063/-.'!,-47/'201,;!&0,-/'@!.'(!@3!7,36!20!63,.1-@3!,),234,!>-2+!-(+313(2!6)('4-.,!0:!2+3!4063/! ,217.2713;! -838! ,),234,! >+0,3! 4'2+34'2-.'/! ,217.2713! .'(! .+'(53! 671-(5! ,-47/'2-0(8! L-2+-(! &0,-/'@;! 2+3!4063/-(5! /'(57'53! &0,-/'! -,! 7,36! >+-.+! -,! 3,,3(2-'//)! &063/-.'! >-2+! '(! 3B23(,-0(! @',36! 0(! ,2'23.+'12,! :01! 2+3!4'**-(5!0:!,2'23!63*3(63(2!.+'(53,!0:!2+3!4063/!,217.27138!A+-,!+',!@33(!60(3!@)!7,-(5!6)('4-.'/[email protected]!,217.2713,!'/0(5!>[email protected]?01-3(236!,2'23!.+'12,8!&063/-.'!+',[email protected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

Page 56: 1st conference on multiphysics simulation advanced methods for

56! "#!$!#%!

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

!! 3'476'!2*/2,!.616?2)1*,=E2/!&:+2((,!!! 8:((6'):?6)*,=E2!>21/2)-'/5,,)16)25*2/!!! N212=E/'/5!'/+!6'):?6)*,*21)2!H:..('/5!+21!O*,-*.(*/2/!!! 3'):?6)*,=E2!6+6.)*82!P)16)25*2/!-'1!H:/82152/-!2*/-2(/21!B1527/*,51LQ2/!!! 91:-2,,6'):?6)*:/!'/+!B*/7*/+'/5!+2,!91:-2,,!*/!2*/2!D.)*?*21'/5,.(6))4:1?!

G6=E!2*/21!;'1-2/!B*/4JE1'/5!<21+2/!+*2!91:-2,,,=E1*))2!6/!2*/2?!.16;)*,=E2/!3/<2/+'/5,72*,.*2(!+*,;')*21)F!O6,!N2*,.*2(!<*1+!4:(52/+21?6Q2/!6'45276')!,2*/R!

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

*/)251*21)!!! O21!;:?.(2))2!91:-2,,!*,)!*/!3GPVP!K:1;72/=E!N6)=E40E*5!'/+!<*1+!?*)!W*(42!8:/!:.)*9('5!+21!D.)*?*21'/5!

?*)!:.)*PS6/5!-'50/5(*=E!52?6=E)!!! &'()*+*,-*.(*/012!D.)*?*21'/5!?*)!:.)*PS6/5!

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`,!=:/)1:(!=6?F!KE6)`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`)!72!2T=2,,*82F!6/+!)E2!7',E*/5!E6,!):!<*)E,)6/+!?'()*.(2!.12,,'12!,'152,!+'1*/5!26=E!<:1;!=I=(2F!!W*5E!!.12,,'12!!.1:+'=2+!7I!)E2!.'?.!2T21),!)E2!(:6+!:/!)E2!7',E*/5!<6((!a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

Page 57: 1st conference on multiphysics simulation advanced methods for

57! "#!$!%&!

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email protected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

Page 58: 1st conference on multiphysics simulation advanced methods for

58! "#!$!%&!

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

!! ?/0.!:(!,*!27:*6+.07:!94!HI23.-8/4+-'+J!!! F()*!*E0)83*+!(1!)23.-8/4+-'+!07034+-+!'0809-3-.-*+!!! C1!4(2!,07.!.(!:(!-.!(7!4(26!(,7!!! 0!'(33*'.-(7!(1!2+*123!+296(2.-7*+!!! 0''*++-75!./*!(2.82.!:0.090+*!,-./!K4./(7!07:!LMM!!! F.055*6*:!+(32.-(7+!,-./!I8LLC!!! L(283*:!N23*6-07>O056075-07!<7034+-+!!! <90P2+$LQR!

***7/.,'*86'.5"'*9/0'"*:,(3/05"-"62*06'*;,<&02,%6*,6**0*=.&<%-054,6"&#*>6?,&%6-"62*!.%3)*-1)&!>%1=8-?+@!A!(%B)C-%0%&-!7?!2)*-+C31&%*!)&<!D%C7*B)=%!EC7B+,*17&F!G%=8&1*=8%!H&1I%C*1-J-!()C0*-)<-!D&<C%!.-)CK%F!G870)*!41,<%3C)&<-!A!9+0%=)!L&M%&1%+C3NC7!D,-<7C?!3#!9NC&3%CM!50)1,6!-870)*#81,<%3C)&<-:&+0%=)#<%!!S/*!.6*7:!-7!)(:*67!.269()0'/-7*64!.(!./-77*6=!3-5/.*6!07:!/-5/*6!3(0:*:!930:*+!3*0:+!.(!-7'6*0+*:!8(.*7.-03!.(,06:+!13(,!-7:2'*:!D-960.-(7!07:!./2+!.(,06:+!0!+-57-1-'07.!132-:!+.62'.26*!-7.*60'.-(7!AQFCB;!C7!(6:*6!.(!)0-7.0-7!+01*.4=!,/-3*!6*:2'-75!.-)*!.(!)06T*.!:*D*3(8)*7.=!./*!7**:!(1!QFC!+-)230.-(7!,-33!-7'6*0+*!-7!./*!12.26*;!L(7+*P2*7.34! 02./(6+! -7D-.*! 4(2! .(! *E83(6*! ./*! '0809-3-.4! (1! Q-7*S269(! A94!U2)*'0B=!I8LLC! A94! Q602*7/(1*6B! 07:!<90P2+!A94!F-)23-0B!.(!+(3D*!27+.*0:4!'()86*++-93*!QFC!86(93*)+!-7!0!.269()0'/-7*64!*7D-6(7)*7.;!!

!V30:*>G11!-7!0!I(:*67!<-6'601.!N75-7*!!!!!!!!!!!!!K6*++26*!?0T*!(1!0!S607+(7-'!L()86*++(6!W(.(6!Q-7*S269(! -+! 2+*:! .(! '03'230.*! 13(,! 8/*7()*70=! .(! :*1(6)! ./*!)*+/! 07:! .(! '()82.*! ./*! 86*++26*! (7! ./*! 930:*!+2610'*=!,/-3*!<90P2+!+-)230.*+!./*!6*+8(7+*!-7!1(6)!(1!930:*!:-+830'*)*7.;!I8LLC!'(283*+!./*!QFC!'()82.0.-(7!07:!-+!2+*:!.(!'(7.6(3!./*!86('*++*+;!<!+.*0:4!+.0.*!'(283*:!'()82.0.-(7!(1!0!.607+()! -'!'()86*++(6!,0+!8*61(6)*:;!S/*!8(++-9-3-.4!.(!'03'230.*!)0'/-7*64!'/060'.*6-+.-'+!'(7+-:*6-75!0*6(:470)-'!3(0:+!(7!0!930:*!-7!(7*!'(283*:!+-)230.-(7!,-33!9*!+/(,7;!!<7! -7D*+.-50.-(7! (1! 27+.*0:4! '(283*:! +-)230.-(7+! ,-33! .267! (2.! ./*! -7132*7'*! (1! 132-:! -7:2'*:! :-+830'*)*7.! 07:!D-960.-(7!(7!0!'()86*++(6!930:*;!S/*6*1(6*!./*!*11*'.!(1!930:*!,0T*!6*+8(7+*!,-33!9*!+/(,7!94!2+-75!QFC!+-)230.-(7+;!!<.! ./*! *7:! (1! ./*! 86*+*7.0.-(7! 02./(6+!,-33! *E8(+*! 07! -:*0! (1! 28'()-75! Q-7*S269(! QFC! :*D*3(8)*7.+! .(! -)86(D*!'()82.0.-(703!*11(6.!07:!.-)*;!Q26./*6)(6*!07!(2.3((T!(1! 12.26*!86(X*'.+!0.!SY!R06)+.0:.! .(!+-)230.*!07:!86*:-'.!132-:!-7:2'*:!930:*!D-960.-(7!,-33!9*!5-D*7;!!!"#$%&'(Z!Q-7*S269(=!U2)*'0=!V30T*>?0T*!W*+8(7+*=!S269(!I0'/-7*64=!L()86*++(6!!

! !

Page 59: 1st conference on multiphysics simulation advanced methods for

59

Page 60: 1st conference on multiphysics simulation advanced methods for

60

institution / company ......................................................authors ............................................................................ page

ACCESS e.V, RWTH Aachen ......................................................G. Laschet .................................................................................13

Access GmbH Aachen ...............................................................S. Benke, G.J. Schmitz ...............................................................24

ACCESS Materials+Processes RWTH Aachen ............................G.J. Schmitz, S.Benke, B.Böttger ................................................19

aixprocess PartG, Aachen ..........................................................Martin Weng, Markus Hufschmidt , ...........................................31

ANSYS Germany GmbH Otterfing ............................................Johannes Einzinger ..................................................................56

Application Technologies

ThyssenKrupp Steel Europe AG Duisburg ..................................Michael Linnepe, Lutz Keßler .....................................................14

Architectural Office Rasch+Bradatsch, Stuttgart .......................A. Michalski .............................................................................32

Biomedical Synergy, Electronic Engineering Department,

Universidad Politecnica de Valencia ...........................................E. Berjano ................................................................................37

Biomedical Synergy, Electronic Engineering Department,

Universidad Politécnica de Valencia, .........................................Ana González, Enrique J. Berjano .............................................37

Bundesanstalt für Materialforschung und –Prüfung ...................D. Marcano, T. Kannengießer .....................................................16

CADFEM GmbH Hannover ........................................................Andreas Junk .............................................................................20

CADFEM GmbH, Berlin .............................................................JanStefan Knick .......................................................................27

Centro de Tecnologıas Fısicas A.M.A.,

Universidad Politecnica de Valencia ...........................................V. RomeroGarcıa ......................................................................37

Chair for Numerical Mathematics, RWTHAachen .......................Arnold Reusken .........................................................................19

Chair of Structural Analysis, Technical University Munich ...........R.Wüchner , K.U. Bletzinger .....................................................32

Cologne University, Mathematisches Institut, Köln ....................Caren Tischendorf ...................................................................45

COMSOL AB Stockholm ............................................................Jacob Yström ...........................................................................57

Daimler AG ...............................................................................B. Relovsky, D. Neumerkel, N. Kleiner, N-A.Suyam Welakwe ...52

Daimler AG, W059 / HPC X271, Sindelfingen ............................Markus Feucht .........................................................................28

Dassault Systemes Simulia GmbH ..............................................J. Meenen ..................................................................................58

Departement of Gasturbines and Aerospace Propulsion,

Technische Universität Darmstadt ..............................................Sebastian Leichtfuß ..................................................................58

Department of Cardiac Surgery,

Hospital General Universitario, Valencia, ...................................Fernando Hornero ...................................................................37

Department of Mechanical Engineering,

College of Engineering, King Saud University Riyadh .................Essam A. AlBahkali ....................................................................15

Department of Metallurgy, Chair for Simulation and Modelling

of Metallurgical Processes, University of Leoben ........................Andreas Ludwig, Menghuai Wu, Florian Mayer ........................28

Department SMS, Fraunhofer ITWM Kaiserslautern ..................Andreas Wiegmann ...................................................................14

Department Virtual Production Engineering,

Chemnitz University of Technology ............................................Birgit Awiszus ..........................................................................27

Dept. of Ferrous Metallurgy, RWTH Aachen, ............................H. Quade, P. Fayek ....................................................................13

DYNAmore GmbH ....................................................................D. Lorenz, A. Haufe, A. Shapiro, P. L’Eplattenier – ......................29

Eaton Industries GmbH Bonn ....................................................Hartwig Stammberger, Albert Zacharias ...................................48

ESI France, Paris .......................................................................P.de Kermel, E.Haug ................................................................32

Fraunhofer EMI ........................................................................Volkmar Holzwarth, Arno Klomfass ............................................48

Fraunhofer EMI  ........................................................................N. Kirchner, M. Sauer, A T Klomfass ........................................57

Fraunhofer FOKUS .................................................................... Tibor Farkas .............................................................................52

Fraunhofer IBP ..........................................................................C. van Treeck, S. R. Bolineni, S. Stratbücker, A.Holm ..................33

Fraunhofer IFF ..........................................................................Ulrich Schmucker .....................................................................41

Fraunhofer IGD .........................................................................André Stork .............................................................................52

Fraunhofer IIS/EAS ....................................................................Sven Reitz, Andreas Wilde, Jörg Bretschneider ...........................43

Fraunhofer IIS/EAS ....................................................................R. Jancke, A. Wilde, R. Martin, S. Reitz, P. Schneider ................47

list of authors

Page 61: 1st conference on multiphysics simulation advanced methods for

61

Fraunhofer IIS/EAS ....................................................................P. Schneider, C. Clauß, O. Enge-Rosenblatt, A. Schneider .........52

Fraunhofer IIS/EAS ....................................................................Christoph Clauß, Susann Wolf .................................................53

Fraunhofer IIS/EAS ....................................................................J. Bastian, C. Clauß, O. Enge-Rosenblatt, P. Schneider ..............55

Fraunhofer IISB Erlangen ...........................................................C. Kampen, A. Burenkov, D. Kunder, E. Baer, J. Lorenz .............46

Fraunhofer IKTS ........................................................................J. Schöne, G. Ganzer, Th. Pfeifer, W. Beckert, M. Jahn, A. Michaelis .33

Fraunhofer IKTS ........................................................................M.Dannowski, W.Beckert, J.Adler, A. Michaelis ........................34

Fraunhofer ILT ..........................................................................Wolfgang Schulz ........................................................................19

Fraunhofer ILT ..........................................................................S.Pfeiffer ....................................................................................19

Fraunhofer IMS ........................................................................F. Hochschulz, U. Paschen, H. Vogt ...........................................45

Fraunhofer ITWM ......................................................................Heiko Andrä, Fabian Wenzlau ....................................................15

Fraunhofer ITWM ......................................................................P. Diffo, P. Wulf M. Breuer ..........................................................32

Fraunhofer ITWM ......................................................................D. Niedziela, U. Strautins, A. Latz .............................................33

Fraunhofer ITWM ......................................................................S. Herkt .....................................................................................42

Fraunhofer IVI ...........................................................................Thomas Lehmann, Ralf Bartholomäus, Henning Wittig ..............43

Fraunhofer IWM ......................................................................Ingo Schmidt, Andreas Trondl, Torsten Kraft ...............................16

Fraunhofer IWM .....................................................................DongZhi Sun, Florence Andrieux ................................................28

Fraunhofer IZFP .........................................................................N. Avgoustinov ..........................................................................28

Fraunhofer LBF ..........................................................................Thomas Bruder, Christiane Schäfer, Ludwig Voigt .....................52

Fraunhofer MEVIS .....................................................................Tobias Preusser ..........................................................................38

Fraunhofer SCAI .......................................................................Thorsten Köddermann  .............................................................15

Fraunhofer SCAI .......................................................................Daniela Steffeslai, Dr. Tanja Clees .............................................24

Fraunhofer SCAI .......................................................................Andre Oeckerath .......................................................................27

Fraunhofer SCAI .......................................................................Dirk Reith and Karl N. Kirschner .................................................37

Fraunhofer SCAI .......................................................................Tanja Clees, Bernhard Klaassen ..................................................45

Fraunhofer SCAI .......................................................................Christian Rümpler ......................................................................48

Fraunhofer SCAI .......................................................................P. Bayrasy ...................................................................................55

Fraunhofer UMSICHT ...............................................................Stefan Schlüter, Torsten Hennig, Georg Janicki, Görge Deerberg .....31

Fraunhofer UMSICHT ...............................................................Andreas Dudlik, Thorsten Neuhaus ............................................31

Gdansk University of Technology ...............................................Leszek Osiecki ..........................................................................56

George Mason University, Fairfax VA .........................................Rainald Löhner .............................................................................9

Giessereiinstitut RWTH Aachen .................................................S. Freyberger, A. BührigPolacek ................................................24

Harman International Automotive Division, Vienna....................Alfred J. Svobodnik ....................................................................10

IFP - Institute du Petrol France ...................................................Hassen Hadj Amor, Cyril Faure, Mongi Ben Gaid, Nicolas Pernet ...53

INPRO GmbH Berlin ..................................................................Dmitrij Tikhomirov , Heribert Wessels, Jochen Weiher, Gerd Eßer ....25

Institut für Eisenhüttenkunde, RWTH Aachen ............................H. Quade .................................................................................24

Institute for Fluid Mechanics and Heat Transfer,

JohannesKeplerUniversityLinz ....................................................Martin Barna, Mirko Javurek ....................................................25

Institute for Materials Science and Welding,

Graz University of Technology ...................................................Christof Sommitsch .................................................................28

Institute for Mobile Systems,

Otto von Guericke University Magdeburg ..................................Tamas Juhasz ...........................................................................41

Institute for Numerical Simulation, University of Bonn ...............Martin Rumpf, Lars Ole Schwen ...............................................38

Institute for System Level Integration, Edinburgh .......................H. You, D. Weiland, M. Begbie and A. Chaehoi ........................39

Institute of Metal Forming, RWTH Aachen ................................T. Henke ...................................................................................13

Institute of Orthopaedic Research and Biomechanics, Ulm .........Hans-Joachim Wilke, Uwe Wolfram ...........................................38

Instituto de Universitario de Matem´atica Pura y Aplicada,

Universidad Politecnica de Valencia ...........................................M. Trujillo, M.J. Rivera, J.A. L´opezMolina ...................................37

Intelligente Sensorsysteme Dresden GmbH, Dresden .................Karsten Sager, Gottfried Richter, Stefan Woschech ...................43

Istanbul Technical University, Informatics Institute,

Page 62: 1st conference on multiphysics simulation advanced methods for

62

Computational Science and Engineering Department, Istanbul ..Senol Piskin, M. Serdar Celebi ....................................................39

ITI GmbH Dresden .....................................................................Torsten Blochwitz, Thomas Neidhold ..........................................53

Jacobs University Bremen ..........................................................Torben Pätz ..............................................................................38

John Deere Werke Mannheim ...................................................Christian von Holst ..................................................................42

Jönköping University .................................................................Ingvar Svensson, Emma Sjolander, Salem Seiffidine ....................14

LMS Deutschland GmbH ...........................................................Emanuel BORY .........................................................................41

LMS INTERNATIONAL ................................................................Lionel Broglia, Renaud Meillier, David Gagne ..............................41

MAGMA Giessereitechnologie GmbH Aachen ...........................Jens Kappey, Marc Schneider .....................................................14

Martin Luther University HalleWittenberg ..................................Martin Arnold ............................................................................10

MartinLuther Universität HalleWittenberg .................................T. Schierz, Martin Arnold ..........................................................53

MartinLutherUniversität HalleWittenberg ..................................Martin Arnold, Tom Schierz ......................................................53

Materials Center Leoben Forschung GmbH, .............................Guenter Unterreiter, Thomas Wlanis ........................................28

Metamaterialien & Nanooptik,

1. Physikalisches Institut (IA) RWTH Aachen ...............................Prof. Dr. Thomas Taubner ...........................................................20

Narvik University College ...........................................................Moji Moatamedi ..........................................................................9

NTNU, Trondheim .....................................................................Shahid Akhtar3, Lars Arnberg3 ..................................................14

Numeca Ingenieurbüro Altdorf b. Nürnberg ..............................Andre Starke, Thomas Hildebrandt ...........................................58

Ostfalia University of Applied Sciences, Wolfenbüttel ................Lena Leck, Martin Rambke .......................................................27

Otto Junker GmbH, Simmerath .................................................E. Westhoff ..............................................................................24

RHI AG, Technology Center Leoben ...........................................Marcus Kirschen ......................................................................25

Robert Bosch GmbH Reutlingen ...............................................Philipp Senger ..........................................................................45

Robert Bosch GmbH, Waiblingen Germany ...............................V. Hosdez , A. Kech ..................................................................33

Siemens VAI Metals Technologies GmbH & Co Linz ...................Josef Watzinger .......................................................................25

Space Research Center of the Polish Academy of Sciences ........Tomasz Zawistowski .................................................................56

Strata Marine and Offshore AS..................................................Bartek Zylinski ..........................................................................56

Technical University of Sofia ......................................................Ilona I. Iatcheva, Rumena D. Stancheva, Georgi C. Kunov ........26

Technical University of Sofia ......................................................Rumena D. Stancheva and Ilona I. Iatcheva ..............................47

Technical University of Sofia .....................................................Ivan Yatchev, Vultchan Gueorgev, Racho Ivanov and Krastio Hinov 51

Technische Universität München,

Chair for Computation in Engineering .......................................Jérôme Frisch ...........................................................................33

Technology Management, Volkswagen AG, Wolfsburg..............Sebastian Pinner ......................................................................27

TESIS DYNAware GmbH ............................................................B. Esterl .....................................................................................42

Ultraflex Power Technologies, New York ....................................Mario Metodiev .......................................................................26

University of Applied Sciences Hamburg ....................................F. Olawsky, D. Hietel ..................................................................32

University of Applied Sciences Merseburg  ................................Marco Franke  ...........................................................................41

Villanova University ..................................................................Peiman Naseradin Mousavi ......................................................42

voestalpine AG, Linz .................................................................Bernhard Kaufmann ................................................................25

voestalpine Stahl Donawitz GmbH & Co KG, Leoben ................Jürgen Reiter ...........................................................................25

Warsaw University of Technology ..............................................Janusz Piechna .........................................................................56

Page 63: 1st conference on multiphysics simulation advanced methods for

63

fraunhofer institute for industrial mathematics itWm

http://www.itwm.fraunhofer.de

Computer simulations have become an indispensable tool

for engineering design and optimization of products and

manufacturing processes. Real systems are substituted by

virtual models. Mathematics is the key technology enabling

the simulations of all relevant physical properties of a system

under development.

Our activities include modeling and simulation of the

dynamic behaviour, durability and reliability of mechanical and

mechatronical systems as well as modeling and simulation

of fluid dynamical processes and the optimization of porous

and composite materials and components. One of our main

competences is the efficient numerical solution of multiscale

and multiphysical problems occurring in material simulation

and system simulation.

We are cooperating with the automotive industry as well as

commercial vehicle industry, textile industry and microelec-

tronics.

fraunhofer institute for high-speed Dynamics –

ernst-mach-institut, emi

http://www.emi.fraunhofer.de

As Fraunhofer Institute for High-Speed Dynamics, the Ernst-

Mach-Institut, EMI, recognizes its tasks in understanding the

physics of high-speed, transient processes in order to derive

solutions for industry and governmental organizations. EMI

adopts interdisciplinary and comprehensive strategies to

investigate impact, shock and penetration phenomena by

experiment and simulation.

The solutions acquired at EMI by experimental, computer-

based and analytical methods aim at improving the security

and reliability of components and structures under dynamic

loads and analyzing their behavior in systems. With the utiliza-

tion of the most recent research results and research tools the

integrity of dynamically loaded structures is increased, while

resources are conserved. Thereby our customers profit from

optimized systems in the areas of defense, security, space and

transport.

Positioned at the interface between basic research and system

development, EMI puts great stress on predictive numerical

simulations based on integrated experimental-numerical

approaches. This also holds for our expertise in multi-physics

issues, which focuses on transient fluid-structure and electro-

dynamic interactions and includes both the development of

high performance computational tools and laboratory scale

experiments for these topics.

fraunhofer institute for mechanics of materials iWm

http://www.iwm.fraunhofer.de

The Fraunhofer Institute for Mechanics of Materials IWM

characterizes, simulates and evaluates the behavior of

materials, components and systems under the influence of

external forces in different environments. It works on behalf

of companies and public contractors to develop solutions that

improve the safety, reliability, durability and functionality of

technical components and systems, thus making them more

cost-effective, energy-efficient, and economical with natural

resources.

The Fraunhofer IWM places extremely high demands on

itself in terms of its scientific achievements, and holds a

leading position in its core fields of expertise, i.e. material and

component characterization, modelling and simulation of

materials, and interfacial and surface engineering. Mechanics

of materials addresses the issue of how materials behave in

components and how their properties change. This study

is decisive in rendering components fit for use at extreme

temperatures or under heavy loads, and in ensuring that the

components will work reliably over a long period of time.

In addition to analyzing components under operating condi-

tions, a key field of study is the assessment of manufacturing

processes in terms of the mechanical properties that can be

achieved. It is during manufacturing that the properties and

even the microstructure of a material are determined and

altered, for example by forming, sintering or casting. The

properties of component surfaces, too, can be altered by

machining or coating. In the end, it is the production yield and

producibility of a new product that determine the efficiency of

the entire process.

organizing institutes

Page 64: 1st conference on multiphysics simulation advanced methods for

64

fraunhofer institute for medical image computing

meVi s

http://www.mevis.fraunhofer.de

Fraunhofer MEVIS is one of the leading global and interna-

tionally networked research and development centers for

computer assistance in image-based medicine. It follows a

patient-centered and workflow-oriented approach to resolve

clinically relevant issues in image-based diagnosis and therapy.

Fraunhofer MEVIS focuses on epidemiologically significant

diseases of the cardiovascular system, the brain, liver and lung,

as well as oncological disorders.

In cooperation with its spin-off MeVis Medical Solutions AG,

Fraunhofer MEVIS has established a quality-assured innovation

chain from basic research to clinical prototypes to certified

medical products. In addition, Fraunhofer MEVIS maintains a

global network of clinical partners, and scientific and academic

institutions. The institute has especially close relationships with

the University of Bremen, the Jacobs University, the University

of Luebeck and the University of Applied Sciences Bremer-

haven. Fraunhofer MEVIS was founded in August, 1995

in Bremen as a non-profit limited liability company MeVis

Research and later integrated as an institute of the Fraunhofer

Society on January 1, 2009. The work of Fraunhofer MEVIS is

supervised by an international advisory board.

fraunhofer institute for algorithms and scientific

computin g scai

http://www.scai.fraunhofer.de

The Fraunhofer Institute for Algorithms and Scientific

Computing SCAI conducts research in the field of computer

simulations for product and process development, and is a

prominent corporate partner in the industrial and science

sectors.

• Multiphysics Simulations: SCAI has developed MpCCI, the

world’s leading interface for the coupling of simulation

codes. Referred to this, the institute offers mathematical,

informatical and engineering solutions connected to MpCCI.

• Computational Chemical Engineering: A profound under-

standing of the microscopic behavior of chemical systems

is important both for material and drug design. Computer

simulations used for this purpose can be accelerated by

orders of magnitude by the method of “Multiscale Coarse

Graining” employed in SCAI.

• High Performance Computing: For many years, the efficient

use of high performance computers for large applications

has been one of the core competences of SCAI. Customers

benefit from this know-how for their own technical and

scientific computations.

• Distributed Systems: Today, industrial design and production

processes are based on division of labour. Fraunhofer SCAI

has developed a distributed integration platform to support

the necessary cooperation.

fraunhofer institute for laser technology ilt

http://www.ilt.fraunhofer.de

The Fraunhofer Institute for Laser Technology (ILT) is one of

the world’s most important contract research and develop-

ment institutes in the area of laser development and laser

applications. The activities cover a wide range of areas such as

development of new laser radiation sources and components,

laser measurement and testing technology as well as laser

manufacturing technology. This includes, for example, cutting,

ablating, drilling, welding and soldering as well as surface

finishing, micro-manufacturing and rapid prototyping.

The Modelling and Simulation department engages in funda-

mental work on the description of technical processes as well

as their monitoring, control and closed loop control. Our core

competences include the modelling of radiation sources as

well as their application in manufacturing technology. The in-

volved physical processes range from generation, propagation

and absorption of radiation to transport processes and phase

transformations induced in the material by radiation. Together,

we offer our customers model-based solutions for technical

tasks. We develop and analyse individual approaches based

on the knowledge of our customers and our own expertise as

well as the properties of existing models.

Fraunhofer ILT provides contract research and developments

for laser system technology, process monitoring and control,

modelling and the entire system technology. Our services

range from feasibility studies and process certification to

customer-specific integration of laser processes in specific

manufacturing lines.

Page 65: 1st conference on multiphysics simulation advanced methods for

65

fraunhofer institute for manufacturing technology and

applied materials research ifam

http://www.ifam.fraunhofer.de

Shaping and Functional Materials: Research and development

in the areas of Biomaterials Technology, Electromobility, Elec-

trical Systems, Functional structures, Casting Technology, Light

Weight Materials, Materialography and Analytics, Powder

Technology, High Performance Sintered Materials, Cellular

Metallic Materials

Adhesive Bonding and Surfaces: Research and development

in all areas of adhesive bonding technology, complemented

by plasma technology, paint/lacquer technology, electrochem-

istry, molecular modelling, adhesion and interface research,

technology transfer and the provision of certified training

courses in adhesive bonding technology.

fraunhofer institute for environmental safety and en-

ergy technology umsicht

http://www.umsicht.fraunhofer.de

Fraunhofer UMSICHT develops applied and custom-made pro-

cess engineering technologies. Assuming a leading position in

the fields of environmental and material technologies, process

engineering and energy technology, Fraunhofer UMSICHT is

committed to sustainable economic development, environ-

mentally friendly technologies and innovative approaches

designed to improve the standard of living and to promote the

innovation capacity of the national economy.

To strengthen its position in the research landscape, the

institute has focused its activities on four key research areas,

these are:

• »Biorefinery – Products from Renewable Resources«,

• »matfunc – Particles, Materials and Membranes with

Functionality«,

• »Modular Energy Technologies – Flexible Solutions for

Sustainable Energy Systems«

• »Information Networks for Process and Energy Technology –

Utilizing Dispersed Knowledge in Value Added Chains«

This thematic scope is designed to give interdisciplinary

scientific impulses across the business-units. It is in these key

areas that the institute’s profile is adapted to the rhythm of

social and economic changes and focused on promising new

lines of research.

fraunhofer institute for system Dynamics and structural

Durability lBf

http://www.lbf.fraunhofer.de

Fraunhofer LBF can proudly look back on 70 years of experi-

ence in the field of structural durability. Over the years, this

core competency has been expanded to include adaptronics

and system reliability. Mechatronic/adaptronic approaches

are becoming increasingly common in vehicle and mechanical

engineering. These include the integration of sensors, actua-

tors, electronics and feedback controls.

LBF_SchmalVorne_MG_5917.jpg

To meet our customers’ diverse demands in the realms

of automobile and utility vehicle engineering, rail vehicle

engineering, shipbuilding, machine tools and plant engineer-

ing, aviation, power engineering and other industries, we use

our expertise and the modern technologies available at our

laboratories and testing facilities, which cover 12,000 m2.

Shorter development and test cycles, together with the use

of increasingly specialized materials and processes to create

new products with increasingly complex functions, call for

an entirely new approach to assessing safety and reliability.

Numerical simulation is becoming increasingly important as a

complement to experimental simulation. For this reason, we

work with a Virtual Test Lab Environment in addition to real

testing facilities.

fraunhofer institute for integrated circuits iis eas

http://www.eas.iis.fraunhofer.de

Corresponding to the FhG’s R&D mission, the Dresden Division

Design Automation (EAS) deals primarily dealt with working

out practice relevant problems of Applied Research ordered by

industry and the public authorities. Usually, these demanded

activities are performed in cooperation with the customers,

other industrial partners and competent R&D institutions.

Within the framework of funded R&D projects we mainly

develop methods and tools for CAD of electronic and hetero-

geneous systems.

In particular, these results are focussed on bridging dedicated

gaps in application specific design flows and considerably

improving the functionality and performance of commercially

available CAD systems. Moreover, EAS has been involved

in the design and verification of prototyping of hardware

software systems for years.

The R&D results are required for innovative applications in

Telecommunications, Digital Radio (DAB, DVB) and also for the

development of micro-systems.

Page 66: 1st conference on multiphysics simulation advanced methods for

66

exhiBitionaixprocess gmbh

aixprocess offers comprehen-

sive and problem orientated

consulting for fluid mechanics

and process engineering. This

comprises reacting fluidised

beds, cyclones, combustion plants, flue gas treatment and

many others. We analyze processes and plants with a com-

bination of conventional engineering approaches supported

by innovative computational fluid and particle dynamics

methods. For highly accurate and efficient simulations of gas

solid flows with high loadings we apply the particle simulation

software Barracuda, which overcomes the specific deficiencies

of standard CFD software packages according to the special

requirements on modelling and simulation of particle flows.

The comprehensive analysis supports the intuitive process

understanding which is in return the base for your tailor-made

process solutions.

ansys germany gmbh

ANSYS, Inc., founded in 1970,

develops and globally markets

engineering simulation soft-

ware and technologies widely

used by engineers, designers,

researchers and students

across a broad spectrum of industries and academia. The

Company focuses on the development of open and flexible

solutions that enable users to analyze designs directly on the

desktop, providing a common platform for fast, efficient and

cost-conscious product development, from design concept

to final-stage testing and validation. The Company and its

global network of channel partners provide sales, support and

training for customers. Headquartered in Canonsburg, Penn-

sylvania, U.S.A., with more than 60 strategic sales locations

throughout the world, ANSYS, Inc. and its subsidiaries employ

over 1,600 people and distribute ANSYS products through a

network of channel partners in over 40 countries. Visit www.

ansys.com for more information.

caDfem gmbh

Since 1985, the CADFEM

brand has stood for ANSYS

had a vast competence in

CAE in Germany, Austria and

Switzerland. Moreover, com-

pany shares and partnerships have led the owner-run CADFEM

company to become a global player in CAE, e.g. in the US, in

China, India, and Eastern Europe.

CADFEM offers a complete portfolio of leading software tools

for numerical simulations, including all product-supporting

services, such as expert advice, seminars, and helpdesk.

Furthermore, CADFEM is an engineering office with a

highly-trained team of over 100 design analysts offering CAE

consulting and software customization services.

cei gmbh

CEI GmbH, a subsidiary of

Computational Engineering

International Inc. (CEI), Apex,

NC, USA, provides sales, train-

ing, and support services for

CEI’s flagship product EnSight

in Central, Northern, and Eastern Europe.

EnSight is a leading post-processing and visualization solution

for multidomain, multidisciplinary, and multiphysics simulation

of complex systems, including fluid flow, mechanical, thermal,

and electrical phenomena. With support for parallel post-

processing and parallel graphics rendering, it is the leader in

handling the largest models in the world. EnSight supports the

majority of commercial CAE solvers available on the market

today. The open interface architecture allows for easy integra-

tion with other proprietary data formats, and the Python API

empowers users to customize the product according to their

specific needs.

CEI GmbH also markets and supports the pre-processing

solution TSV-Pre throughout Europe. TSV-Pre can help users

to significantly reduce time and cost for model building. It is

particularly powerful in large model handling, assembly mesh-

ing, and midplane extraction.

comsol multiphysics

gmbh

COMSOL AB is the maker of

COMSOL Multiphysics, an

industry-leading scientific-

software package for the

modeling and simulation of any physics-based system. The

software simultaneously accounts for interdependent, coupled

physics – multiphysics phenomena.

Modules for specific disciplines including AC / DC, Acoustics,

Page 67: 1st conference on multiphysics simulation advanced methods for

67

Chemical Engineering, Earth Science, Heat Transfer, MEMS, RF

and Structural Mechanics are available. The COMSOL Reaction

Engineering Lab allows users to enter chemical formulas and

immediately see the reaction kinetics and thermodynamics.

Dassault systèmes simulia

gmbh

SIMULIA is the Dassault

Systèmes brand that delivers

a scalable portfolio of Realistic

Simulation solutions including

the Abaqus product suite for Unifi ed Finite Element Analysis,

multiphysics solutions for insight into challenging engineering

problems, and SIMULIA SLM for managing simulation data,

processes, and intellectual property. By building on established

technology, respected quality, and superior customer service,

SIMULIA makes realistic simulation an integral business

practice that improves product performance, reduces physical

prototypes, and drives innovation. Headquartered in Provi-

dence, RI, USA, SIMULIA provides sales, services, and support

through a global network of regional offi ces and distributors.

As a world leader in 3D and Product Lifecycle Management

(PLM) solutions, Dassault Systèmes brings value to more

than 115,000 customers in 80 countries. A pioneer in the

3D software market since 1981, Dassault Systèmes develops

and markets PLM application software and services that

support industrial processes and provide a 3D vision of the

entire lifecycle of products from conception to maintenance

to recycling. The Dassault Systèmes portfolio consists of

CATIA for designing the virtual product – SolidWorks for 3D

mechanical design – DELMIA for virtual production – SIMULIA

for virtual testing – ENOVIA for global collaborative lifecycle

management, and 3DVIA for online 3D lifelike experiences.

Dynamore gmbh

DYNAmore is dedicated to

support engineers to solve

non-linear mechanical

problems numerically. Tools

to model and solve the

problems are the fi nite element software LS-DYNA as solver

and LS-OPT for optimization. DYNAmore’s offering also

includes training classes, FEM computation services, general

consultancy and advice pertainining to structural dynamics.

One of the key strengths is the ability to maintain very close

customer relationships in long term. The customer base

spans the entire range of major groups of companies to small

engineering practices.

As German based company DYNAmore mainly work in Ger-

many, Italy, Austria, Spain, Portugal, Switzerland, Turkey and

the neighboring eastern countries. The majority of customers

is from the automotive and aerospace industry.

numeca ingenieurbüro

NUMECA Ingenieurbüro

was founded in April 1997.

The key competence is

Computational Fluid Dynamics

(CFD). Today, CFD is, next to

structural mechanics analysis

CFD the most important engineering simulation technique.

CFD aims at reaching detailed insight into the fl ow behaviour

without the extremely laborious wind tunnel experiments.

Only by using CFD, today’s short design cycles can be realized.

NUMECA’S unique selling proposition is the application of

CFD on turbo-machinery. As of today NUMECA has evolved as

one of the leading suppliers of CFD software and consultancy

services for these range of applications, such as fans, pumps,

aero-engines or turbines. In particular the aero-engines have

become the largest single sector within the turbo-machinery

community.

Due to the focus on the turbo-machinery market, NUMECA

is the only supplier who is able to offer dedicated tools

specifi c to this market. Examples are the Non Linear Harmonic

Method for the unprecedented effi cient simulation of the

time-dependent rotor-stator interaction, FINE™ / Design3D

an automatic and seamlessly integrated optimisation system

for all kind of turbo-machinery components and AutoGrid™

a grid generation system producing high-quality grids with a

minimum of user interaction within minutes.

The trend is to apply CFD, and all other CAE disciplines, less

and less as an isolated simulation tool. Instead, the future will

increasingly see the coupling of CFD with other CAE tools.

NUMECA already successfully demonstrated the coupling of

its CFD software with structural mechanics codes (FEM) or

aero-acoustic simulation (CAA).

Page 68: 1st conference on multiphysics simulation advanced methods for

www.multiphysics.fraunhofer.de

contact Details

Conference Topics:

Klaus Wolf, Fraunhofer SCAI

Schloss Birlinghoven

53754 Sankt Augustin

www.scai.fraunhofer.de

[email protected]

Organisational Issues:

Natascha Silva-Wipperfürth, scapos AG

Schloss Birlinghoven

53754 Sankt Augustin

www.scapos.com

[email protected]