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Modeling Emerging Magnetic Flux

Modeling Emerging Magnetic Flux. W.P. Abbett, G.H. Fisher & Y. Fan. Sub-surface Modeling. ANMHD --- 3D MHD in the anelastic approximation Pseudo-spectral technique

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Modeling Emerging Magnetic Flux

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  1. Modeling Emerging Magnetic Flux W.P. Abbett, G.H. Fisher & Y. Fan

  2. Sub-surface Modeling • ANMHD --- 3D MHD in the anelastic approximation • Pseudo-spectral technique • Code is mature --- optimized for use on both shared and distributed memory machines (eg. IBM SP, SGI Origin 3800), as well as single-processor workstations • Numerical algorithm allows for extensive exploration of parameter space

  3. ANMHD Examples: LHS --- magneto-convection and the local solar dynamo; RHS --- emerging magnetic flux.

  4. Of interest: Highly twisted, knotted configurations (Linton, Fan, Fisher) Kink unstable magnetic flux tube rising through a stratified model CZ (LHS using ANMHD -- Fan et al.) and evolving in a non-stratified domain using a periodic spectral code (RHS -- Linton).

  5. Delta Spot Active Regions modeled as buoyant, initially kink-unstable flux tubes that emerge through CZ (Linton et al.) Q: Is emerging flux (especially in highly sheared configurations) an important component of the CME initiation process?

  6. ANMHD --- Summary • Provides numerous, simulated active region datasets that can be used to provide self-consistent, depth dependent sub-photospheric velocity and magnetic fields for input into global coronal models • Future development plans: SANMHD (3D spherical ANMHD --- Bercik)

  7. Modeling the Corona • PARAMESH: A domain decomposition, adaptive mesh refinement (AMR) framework developed by MacNeice et al. and distributed by GSFC • Zeus3D: A staggered mesh finite-difference (non-relativistic) MHD code originally developed by Stone, Norman, and Clarke and publicly distributed by NCSA • ZeusAMR: A fully compressible 3D MHD code with AMR which resulted from a merge of PARAMESH with a modified version of Zeus3D

  8. Local Zeus3D (no AMR) flux emergence calculation

  9. Example of driving a ZeusAMR coronal simulation with an ANMHD generated lower boundary. True “code coupling” can be achieved using the PARAMESH framework.

  10. ZeusAMR Progress: Tasks Completed • Merged Zeus3D with PARAMESH v2.x (decomposition technique optimized for SGI shared memory architectures) • ZeusAMR transport step no longer directionally split (Fan) • ZeusAMR written to enhance portability: the NCSA editor and input decks are eliminated in favor of more modern, portable preprocessors and I/0. • Incorporated boundary conditions and refinement criteria appropriate for simulating flux emergence into the low corona • Added option to include the “Boris Correction” • Incorporated an approximate treatment of transition region heating and cooling terms

  11. ZeusAMR: Tasks Nearly Complete • Implement and test the polar and lower radial boundary conditions when running 3D MHD simulations in spherical coordinates • Incorporate explicit resistivity into the code • Develop a user-friendly means of incorporating an initial global coronal atmosphere into a pre-defined, ZeusAMR block structure

  12. ZeusAMR: Future development • Upgrade PARAMESH routines to v3.0 (more efficient mpi treatment for distributed memory architectures) • Add optically thin radiative cooling and conduction along fieldlines to the equation of internal energy • Incorporate the improved MoC algorithm, and the two temperature treatment of Clarke

  13. Summary: ANMHD can provide a variety of simple (to more complicated) datasets to incorporate into the boundaries of global (or local) simulations of the corona. Different configurations can Be readily generated; the Images on the left were Calculated on a 1.2GHz Athlon PC in ~8 hours

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