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Accurate and Robust Pressure Weight Advection Upstream Splitting Method for Magnetohydrodynamics Equations
Cited 19 time in
Web of Science
Cited 26 time in Scopus
- Authors
- Issue Date
- 2009-04
- Citation
- AIAA Journal. vol.47, April 2009, pp.970-981
- Abstract
- Two variants of the advection upstream splitting method are modified to solve the equations of ideal
magnetohydrodynamics. Discontinuity-sensing functions used in AUSMPW and M-AUSMPW for the
magnetohydrodynamics equations are newly defined in consideration of a magnetic field. The new pressure-based
weight functions are shown to effectively remove the oscillations behind a strong shock wave as well as provide a
highly accurate solution for a stationary contact discontinuity. To satisfy the divergence-free constraint of a magnetic
field, the hyperbolic divergence cleaning method is chosen and applied for all the test cases. Ryu and Jones onedimensional
magnetohydrodynamics shock-tube problem and Orszag and Tangs two-dimensional magnetohydrodynamics
vortex system are evaluated to validate and show the advantages of the newly developed schemes.
- ISSN
- 0001-1452
- Language
- English
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