A kinetic beam scheme for relativistic gas dynamics (Q1368161)
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scientific article; zbMATH DE number 1066699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A kinetic beam scheme for relativistic gas dynamics |
scientific article; zbMATH DE number 1066699 |
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A kinetic beam scheme for relativistic gas dynamics (English)
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25 June 1998
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An extension of a beam scheme for the Newtonian gas dynamics to relativistic gas dynamics is presented. It is found that the relativistic Euler equations are split into a set of discrete conservation laws with beam split conservative state vectors and flux vectors. High-order accurate schemes using essentially nonoscillatory concepts are devised. Formulations for two space dimensions are also included. Numerical experiments with relativistic one-dimensional shock tube flows and two-dimensional Kelvin-Helmholtz instability flow to illustrate the method are given.
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relativistic Euler equations
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discrete conservation laws
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state vectors
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flux vectors
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one-dimensional shock tube
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two-dimensional Kelvin-Helmholtz instability
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