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Accurate and Robust Pressure Weight Advection Upstream Splitting Method for Magnetohydrodynamics Equations

Cited 17 time in Web of Science Cited 22 time in Scopus
Authors
Han, Sang-Hoon; Lee, Jeong-Il; Kim, Kyu Hong
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 Tang’s two-dimensional magnetohydrodynamics
vortex system are evaluated to validate and show the advantages of the newly developed schemes.
ISSN
0001-1452
Language
English
URI
http://hdl.handle.net/10371/6215
DOI
https://doi.org/10.2514/1.39375
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Mechanical Aerospace Engineering (기계항공공학부)Journal Papers (저널논문_기계항공공학부)
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