On algorithms for computing the Riemann problem by means of Godunov's scheme (Q5954747)
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scientific article; zbMATH DE number 1701733
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On algorithms for computing the Riemann problem by means of Godunov's scheme |
scientific article; zbMATH DE number 1701733 |
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On algorithms for computing the Riemann problem by means of Godunov's scheme (English)
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28 September 2002
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From author's summary: We analyze the Roe's approximate method for solving Riemann problem in Lagrangian variables. It is shown that the use of exact solution, unlike Roe's method and acoustic approximation, leads to a numerical viscosity similar to von Neumann-Richtmyer quadratic viscosity. We also construct an algorithm for solving Riemann problem with arbitrary equation of state prescribed by two-dimensional tables with bilinear interpolation within table cells.
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compressible fluid
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Roe's approximate method
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finite difference scheme
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Riemann problem
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Lagrangian variables
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numerical viscosity
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von Neumann-Richtmyer quadratic viscosity
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arbitrary equation of state
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