The Bulletin of The Korean Astronomical Society (천문학회보)
- Volume 37 Issue 2
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- Pages.101.1-101.1
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- 2012
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- 1226-2692(pISSN)
A Relativistic Magnetohydrodynamic Code Based on an Upwind Scheme
- Jang, Hanbyul (Department of Astronomy and Space Science, Chungnam National University) ;
- Ryu, Dongsu (Department of Astronomy and Space Science, Chungnam National University)
- Published : 2012.10.17
Abstract
Building a relativistic magnetohydrodynamic (RMHD) code based on upwind schemes has been a challenging project, because of the absence of analytic expressions of eigenvalues and eigenvectors. We found analytic expressions of eigenvalues and eigenvectors for adiabatic RMHD flows which are relatively simple and manageable. Especially, our eigenvectors can handle all degenerate points. Using these analytic forms, we built a code based on the total variation diminishing (TVD) scheme, and successfully performed one-dimensional shock tube tests.
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