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Paper: A New Multidimensional Unsplit MHD Solver in FLASH3
Volume: 406, Numerical Modeling of Space Plasma Flows: ASTRONUM - 2008
Page: 243
Authors: Lee, D.; Deane, A.E.; Federrath, C.
Abstract: We present a new unsplit staggered mesh (USM) magnetohydrodynamics (MHD) scheme for the solution of time evolving, multi-dimensional, compressible MHD flows which is implemented in the publicly available code suite, FLASH3. The implementation uses uniform or block adaptive mesh refinement (AMR) grids on a variety of parallel computing architectures. The scheme preserves the divergence-free constraint of the magnetic fields to machine accuracy by using staggered meshes. The USM scheme obtains second-order accuracy by adopting a new data reconstruction-evolution algorithm for solving the associated Riemann problem. In this data reconstruction-evolution step a set of multidimensional MHD terms proportional to ∇·B are explicitly included that maintain in-plane dynamics. The scheme also emphasizes accuracy and efficiency in calculating electric fields in a new modified electric field construction algorithm (MEC). We present two example applications for the USM scheme that demonstrate the excellent performance of the new solver.
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