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A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes. (arXiv:1711.07415v2 [math.NA] UPDATED)
来源于:arXiv
A high-order finite difference numerical scheme is developed for the ideal
magnetohydrodynamic equations based on an alternative flux formulation of the
weighted essentially non-oscillatory (WENO) scheme. It computes a high-order
numerical flux by a Taylor expansion in space, with the lowest-order term
solved from a Riemann solver and the higher-order terms constructed from
physical fluxes by limited central differences. The scheme coupled with several
Riemann solvers, including a Lax-Friedrichs solver and HLL-type solvers, is
developed on general curvilinear meshes in two dimensions and verified on a
number of benchmark problems. In particular, a HLLD solver on Cartesian meshes
is extended to curvilinear meshes with proper modifications. A numerical
boundary condition for the perfect electrical conductor (PEC) boundary is
derived for general geometry and verified through a bow shock flow. Numerical
results also confirm the advantages of using low dissipative Riemann solvers in
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