Download - EULAG-MHD: simulation of global solar dynamo
![Page 1: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/1.jpg)
NCAREULAG-MHD: simulation of global solar dynamo
*National Center for Atmospheric Research, Boulder, Colorado, U.S.A.
Piotr K Smolarkiewicz*,
http://www.mmm.ucar.edu/eulag/
![Page 2: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/2.jpg)
NCAR
Toroidal component of B in the uppermost portion of the stable layer underlying the convective envelope at r/R≈0 .7
![Page 3: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/3.jpg)
NCAR
Mihai Ghizaru, Paul Charbonneau, PK Smolarkiewicz, MAGNETIC CYCLES IN GLOBAL LARGE-EDDY SIMULATIONS OF SOLAR CONVECTION,
The Astrophysical Journal Letters, 715:L133–L137, 2010;
R. Bhattacharyya, B.C. Low, and P.K. SmolarkiewiczOn spontaneous formation of current sheets: Untwisted magnetic fields.
PHYSICS OF PLASMAS 17, 112901 2010
Etienne Racine, P Charbonneau, M Ghizaru, Amelie Bouchat, PK Smolarkiewicz, ON THE MODE OF DYNAMO ACTION IN A GLOBAL LARGE-EDDY SIMULATION OF SOLAR CONVECTION,
The Astrophysical Journal, 735:46 (22pp), 2011;
Patrice Beaudoin, P. Charbonneau, E. Racine, P.K. Smolarkiewicz, Torsional Oscillations in a Global Solar Dynamo,
Solar Physics (2012) in press http://arxiv.org/abs/1210.1209
Piotr K Smolarkiewicz, Paul Charbonneau EULAG, a Computational Model for Multiscale Flows: an MHD Extension
Journal of Computational Physics, submitted
![Page 4: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/4.jpg)
NCAR
Standard anelastic equations of solar magnetohydrodynamics
Brun, Miesch & Toomre,
![Page 5: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/5.jpg)
NCAR
Elemental EULAG formulation
; Bauer, 1908
![Page 6: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/6.jpg)
NCAR
Coordinate dependent form
![Page 7: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/7.jpg)
NCAR
Coordinate dependent form
![Page 8: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/8.jpg)
NCAR
Numerical approximations; background
elliptic problems for potentials
![Page 9: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/9.jpg)
NCAR
Specialized MHD implementation
Hydrodynamic block
![Page 10: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/10.jpg)
NCAR Magnetic block
Thermodynamics
![Page 11: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/11.jpg)
NCAR
Model setups
stable up to and unstable stable aloft
![Page 12: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/12.jpg)
NCARPower of ILES
![Page 13: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/13.jpg)
NCAR
![Page 14: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/14.jpg)
NCAR
Magnetic cycles
![Page 15: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/15.jpg)
NCARMode of large-scale dynamo action
![Page 16: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/16.jpg)
NCAR
![Page 17: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/17.jpg)
NCARRemarks
Notwithstanding some departures from the real solar climate, global MHD simulations of solar-like cycles have landed.
EULAG-MHD offers an outstanding virtual MHD laboratory allowing to address quantitatively a number of questions that could until now only be speculatedupon on the basis of simplified model formulations.
There is much to be learned. For example, our calculations suggest that the entire magnetic variability involves less then 10% of solar luminosity connection to physics of other “dissipative structures” (QBO, MJO, ….)
Numerics-wise we have learned that work of elliptic solvers is adaptive rather than additive
![Page 18: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/18.jpg)
NCAR Deriving the entropy equation
![Page 19: EULAG-MHD: simulation of global solar dynamo](https://reader036.vdocuments.mx/reader036/viewer/2022062321/56812a8b550346895d8e3203/html5/thumbnails/19.jpg)
NCARWhat is A operator?
Multidimensional positive definite advection transport algorithm (MPDATA):