On application of a TVD scheme on moving adaptive grids for solving gas dynamics problems (Q2760612)
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scientific article; zbMATH DE number 1682181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On application of a TVD scheme on moving adaptive grids for solving gas dynamics problems |
scientific article; zbMATH DE number 1682181 |
Statements
13 December 2001
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system of hyperbolic equations
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decay of discontinuity
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finite difference TVD scheme
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generalized Harten scheme
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moving adaptive grids
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second order of approximation
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non-oscillating solutions
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On application of a TVD scheme on moving adaptive grids for solving gas dynamics problems (English)
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A finite difference scheme is proposed which generalizes the well-known Harten scheme [\textit{A. Harten}, J. Comput. Phys. 49, 357-393 (1983; Zbl 0565.65050)] to the case of moving adaptive grids. A similar generalization to the case of a scalar equation was presented in [\textit{V. B. Barakhnin}, \textit{N. V. Borodkin} and \textit{V. B. Karamyshev}, Russ. J. Numer. Anal. Math. Model. 14, No. 4, 299-309 (1999; Zbl 0951.76056)]. The scheme proposed has the second order of approximation for smooth solutions only but provides a possibility of obtaining non-oscillating solutions with essential economy of computational time.
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0.8431892395019531
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