Parallel,grid-adaptive approaches for relativistic hydro and magnetohydrodynamics |
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Authors: | R. Keppens Z. Meliani A.J. van Marle P. Delmont A. Vlasis B. van der Holst |
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Affiliation: | 1. Centre for Plasma-Astrophysics, K.U.Leuven, Celestijnenlaan 200B, 3001 Heverlee, Belgium;2. FOM-Institute for Plasma Physics Rijnhuizen, P.O. Box 1207, 3430 BE Nieuwegein, The Netherlands;3. Astronomical Institute, Utrecht University, P.O. Box 80000, 3508 TA Utrecht, The Netherlands;4. Department of Atmospheric, Oceanic and Space Sciences, University of Michigan, Ann Arbor, MI 48109, USA;1. CWI and Leiden University;2. CWI and Eindhoven University of Technology;3. University of Michigan;4. INRIA and Universit´e Nice Sophia Antipolis;5. Katholieke Universiteit Leuven;6. Los Alamos National Laboratory |
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Abstract: | Relativistic hydro and magnetohydrodynamics provide continuum fluid descriptions for gas and plasma dynamics throughout the visible universe. We present an overview of state-of-the-art modeling in special relativistic regimes, targeting strong shock-dominated flows with speeds approaching the speed of light. Significant progress in its numerical modeling emerged in the last two decades, and we highlight specifically the need for grid-adaptive, shock-capturing treatments found in several contemporary codes in active use and development. Our discussion highlights one such code, MPI-AMRVAC (Message-Passing Interface-Adaptive Mesh Refinement Versatile Advection Code), but includes generic strategies for allowing massively parallel, block-tree adaptive simulations in any dimensionality. We provide implementation details reflecting the underlying data structures as used in MPI-AMRVAC. Parallelization strategies and scaling efficiencies are discussed for representative applications, along with guidelines for data formats suitable for parallel I/O. Refinement strategies available in MPI-AMRVAC are presented, which cover error estimators in use in many modern AMR frameworks. A test suite for relativistic hydro and magnetohydrodynamics is provided, chosen to cover all aspects encountered in high-resolution, shock-governed astrophysical applications. This test suite provides ample examples highlighting the advantages of AMR in relativistic flow problems. |
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