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EULAG-MHD: simulation of global solar dynamo

Piotr K Smolarkiewicz *,. http://www.mmm.ucar.edu/eulag /. EULAG-MHD: simulation of global solar dynamo. *National Center for Atmospheric Research, Boulder, Colorado, U.S.A.

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EULAG-MHD: simulation of global solar dynamo

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  1. Piotr K Smolarkiewicz*, http://www.mmm.ucar.edu/eulag/ EULAG-MHD: simulation of global solar dynamo *National Center for Atmospheric Research, Boulder, Colorado, U.S.A.

  2. Toroidal component of B in the uppermost portion of the stable layer underlying the convective envelope at r/R≈0 .7 

  3. 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 2010Etienne 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 ExtensionJournal of Computational Physics, submitted

  4. Standard anelastic equations of solar magnetohydrodynamics Brun, Miesch & Toomre,

  5. ; Bauer, 1908 Elemental EULAG formulation

  6. Coordinate dependent form

  7. Coordinate dependent form

  8. Numerical approximations; background elliptic problems for potentials 

  9. Specialized MHD implementation Hydrodynamic block

  10. Magnetic block Thermodynamics

  11. Model setups stable up to and unstable stable aloft

  12. Power of ILES

  13. Magnetic cycles

  14. Mode of large-scale dynamo action

  15. Remarks 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 speculated upon 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

  16. Deriving the entropy equation

  17. What is A operator? Multidimensional positive definite advection transport algorithm (MPDATA):

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