Center for Space Environment Modeling

University of Michigan, Ann Arbor, Michigan, USA

**Abstract**:
A parallel adaptive mesh refinement (AMR) scheme is described for solving
the hyperbolic system of partial differential equations governing ideal
magnetohydronamics (MHD) flows in three space dimensions. This highly
parallelized algorithms adopts a cell-centered upwind finite-volume
discretization procedure and uses limited solution reconstruction,
approximate Riemann solvers, and explicit multistage time stepping to
solve the MHD equations in divergence form. This provides a combination
of high solution accuracy and computational robustness across a large range
in the plasma β (β is the ratio of thermal and magnetic pressures).

**Keywords**: MHD, solution adaptive mesh
refinement, Cartesian adaptive grid, parallel computing

**Complete paper**.
This paper appears in *Proc. 14th AIAA Conf. on Computational
Fluid Dynamics* (1999).

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