a zonal cfd approach for fully nonlinear simulation of …€¦ · a zonal cfd approach for fully...
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A Zonal CFD Approach for Fully Nonlinear Simulation of Two vessels in Launch and
Recovery Operations
Zheng Zheng Hu, Deborah Greaves, Gregorio Iglesias, Martyn Hann
School of Marine Science and Engineering University of Plymouth
Project meeting at MMU, 6/6/2016
WP2: Development of hydro-elastic interaction model
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Outline:
WP2: Development of hydro-elastic interaction model
Objective • Build a self-contained two-phase FSI (Fluid Structure Interaction)
module in OpenFOAM Topics • Background
• Development of the two-phase FSI module
• Preliminary results/problems of the FSI module
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Background:
WP2: Development of hydro-elastic interaction model
The two-phase FSI application in publications: 1. Dam break impact a elastic beam in 2D/3D, Kassiptis et al. 2010, (Fluid: OpenFOAM: (FVM), Structure: a house code: FEAP (FEM)) 2. A wedge enter and exit water in 2D, Dominic et al. 2013, (Fluid: OpenFOAM: (FVM), Structure: a house code in Java (FEM)) 3. Slam-induced whipping for a segmented ship hull, Craig et al. 2015, (Fluid: OpenFOAM: (FVM), Structure: a house code: Aegir (FEM))
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Scope of two-phase FSI study:
• A self-contained two-phase FSI solver with free surface. • Fluid solver based on existing package (interFoam/interDyMFoam). • Structure solver based on the single-phase FSI. • Strong coupling based on the single-phase FSI.
WP2: Development of hydro-elastic interaction model
PUfsiFoam contains: Class: flowModel (PUinterFlow.C/H) Class: stressModel Class: fluidStructureInterface
The single-phase FSI package is existing in foam-extend 3.1 / Extend-bazaar/Fluid structure interaction by Huadong Yao 2014
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Coupling of flow and structure interface:
sf dd =
ssf ττ ⋅−=⋅ nn f
τd n
WP2: Development of hydro-elastic interaction model
• Coupling achieved by enforcing the kinematic and dynamic conditions on the mutual interface:
kinematic condition: dynamic condition: displacement, stress tensor and unit normal vector. • Transfer of Coupling data:
Pressure (δpi) and viscous (δti) force increment at the fluid side
Displacement increment (δui) and velocity νi at the solid side
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Flow chart for strong coupling :
WP2: Development of hydro-elastic interaction model
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Summary of the two-phase FSI: • Structure is modelled by updated Lagrangian FVM solver for large
deformation of elastic body. • Fluid flow is modelled by Arbitrary Lagrangian-Eulerian (ALE) FVM solver
using PISO (Pressure Implicit with Splitting of Operators) procedure. • Free surface is captured using the classical VOF method. • Automatic mesh motion based on the fluid-solid interface deformation
using smoothing operator in Laplace equation discretisation.
• The internal grids of the fluid mesh adjust their positions when the FSI interface moves.
• Aitken’s adaptive under-relaxation technique to accelerate the process
of strong coupling.
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Preliminary results WP2: Development of hydro-elastic interaction model
Tutorial case (Single-phase FSI): a beam in cross flow by symmetry simulation Referenced in foam-extend 3.1/Extend-bazaar/Fluid-structure_interaction
Inlet: Vi fluid
solid 1
1))2cos(1(2.0
=
=−=
fluid
solid
i
HzfftV
ρρ
π
0.1
1.5 0.45
0.2
0.4
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A single FSI tutorial case: 3D Beam in cross flow • Referenced in foam-extend 3.1/Extend-bazaar/Fluid-structure_interaction • Fluid cell=14592 and structure cell= 256
Fluid Density (rho) kg/m3
Kinematic viscosity (nu) m/s2
1000 1.0*10-3
Density (rho) kg/m3
Young’s modulus(E) Pa
Poisson’s (nu) ratio
Structure 1000 1.0*104 0.4
WP2: Development of hydro-elastic interaction model
Young’s modulus (elastic modulus)= tensile stress / extensional strain Poisson’s ratio = transverse contraction strain / longitudinal extension strain
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two-phase FSI test:3D Beam in cross flow • Water depth= 0.3 or 0.15 • Fluid cell=14592 and structure cell= 256
Problem: simulation crashes as force reaches to value = 691949N.
WP2: Development of hydro-elastic interaction model
Density kg/m3
Kinematic viscosity m/s2
water 1000 1.0*10-6
air 1 1.48*10-5
Density kg/m3
Young’s modulus(E) Pa
Poisson’s (nu) ratio
structure 1000 1.0*104 0.4
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two-phase FSI test:3D Beam in cross flow • Water depth=0.15, Young’s modulus= steel • Fluid cell=14592 and structure cell= 256
WP2: Development of hydro-elastic interaction model
Density kg/m3
Kinematic viscosity m/s2
water 1000 1.0*10-6
air 1 1.48*10-5
Density kg/m3
Young’s modulus(E) Pa
Poisson’s (nu) ratio
structure 1000 2.0*1011 0.0
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two-phase FSI test: 3D dam Break hitting a elastic structure
• Fluid cell=14592 and structure cell= 256
Density kg/m3
Young’s modulus(E) Pa
Poisson’s (nu) ratio
structure 2500 1.0*106 0.0
Density kg/m3
Kinematic viscosity m/s2
water 1000 1.0*10-6
air 1 1.48*10-5
WP2: Development of hydro-elastic interaction model
air
solid fluid
0.1 0.35
0.2
0.45
0.1
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two-phase FSI test: 2D dam Break hitting a elastic structure
• Referenced by Kassiptis et al. 2010 (Fluid: OpenFOAM; ALE FVM, Structure: a house code (FEM))
Density kg/m3
Kinematic viscosity m/s2
water 1000 1.0*10-6
air 1 1.0*10-5
Density kg/m3
Young’s modulus(E) Pa
Poisson’s ratio(nu)
structure 2500 1.0*106 0.0
WP2: Development of hydro-elastic interaction model
Problem: simulation crashes fluid solid interface is not consistent.
air
solid
fluid
0.292
0.145 0.08
0.286
0.012
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two-phase FSI test: 2D dam Break hitting a elastic structure
• Structure: steel • Fluid cell=4700 and structure cell= 450
Density kg/m3
Kinematic viscosity m/s2
water 1000 1.0*10-6
air 1 1.48*10-5
Density kg/m3
Young’s modulus(E) Pa
Poisson’s ratio (nu)
Structure (steel)
7850 2.0*1011 0.3
WP2: Development of hydro-elastic interaction model
air
solid
fluid
0.292
0.146 0.05
0.286
0.024
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Problems:
WP2: Development of hydro-elastic interaction model
• Numerical simulations in two-phase FSI module show that the
crash/instability with: Problem is fluid structure in mesh coupling Possible problem with variable name definition …
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Next steps:
WP2: Development of hydro-elastic interaction model
• Continue to improve the two-phase FSI module. • Identify and solver problem with fluid structure mesh coupling. • Validation work: the slamming problem (dam break or drop test) the sloshing/whipping problem (beam or plate) comparison with Nan’s experimental data.
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Thanks
WP2: Development of hydro-elastic interaction model
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