A multidimensional upwind scheme for magnetohydrodynamics

Details A multidimensional upwind scheme for magnetohydrodynamics A multidimensional upwind scheme for magnetohydrodynamics

Jun 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998mnras.297..265f&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 297, Issue 1, pp. 265-277.

Astronomy and Astrophysics

Astronomy

42

Mhd

Scientific paper

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 ▽solarB=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.

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