A Numerical Implementation of MHD in Divergence Form
Identifieur interne : 000808 ( Main/Exploration ); précédent : 000807; suivant : 000809A Numerical Implementation of MHD in Divergence Form
Auteurs : Maurice H. P. M. Vanputten [États-Unis]Source :
- Journal of Computational Physics [ 0021-9991 ] ; 1993.
Abstract
A numerical implementation of fully relativistic MHD in divergence form for the purpose of shock computations is presented. We illustrate the implementation on the coplanar Riemann problem for MHD. The computations are performed using a pseudo-spectral method. Brio and Wu recently demonstrated the existence of compound waves in classical MHD. We find that compound waves persist in relativistic MHD. Two limiting cases are considered numerically: a limit in which the velocities become nonrelativistic, and a limit in which the longitudinal magnetic field approaches zero. A comparison is made with the results of nonrelativistic MHD, and with the singular case of zero longitudinal magnetic field.
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DOI: 10.1006/jcph.1993.1080
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