A multidimensional upwind scheme for magnetohydrodynamics

A multidimensional upwind scheme for magnetohydrodynamics
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磁流体动力学的多维逆风方案

DOI:
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发表时间:
1998
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影响因子:
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通讯作者:
P. Joarder
P. Joarder
中科院分区:
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文献类型:
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作者:
S. Falle;S. Komissarov;P. Joarder

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This paper describes a second-order upwind scheme for multidimensional magnetohydrodynamics, which uses a linear approximation for all Riemann problems except those involving strong rarefactions. This enables it to cope with initial data for which previously published schemes might fail. The condition ▽⊙B = 0 is not enforced in multidimensions, but the numerical problems associated with this are dealt with by adding source terms to the equations, as suggested by Powell. We also show that there are advantages to adding second-order artificial dissipation at shocks.