A treatment of discontinuities in shock-capturing finite difference methods (Q753447)
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scientific article; zbMATH DE number 4180712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A treatment of discontinuities in shock-capturing finite difference methods |
scientific article; zbMATH DE number 4180712 |
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A treatment of discontinuities in shock-capturing finite difference methods (English)
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1991
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The author introduces a treatment to sharpen discontinuities to shock- capturing methods by means of a modification of the underlying scheme that makes the computation on each side of the discontinuity use information only from that side. Shock tracking ideas are involved in the treatment; however, no lower dimensional grid is needed to fit the discontinuity. Several numerical examples are presented in addition.
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finite difference methods
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conservation laws
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shock-capturing methods
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discontinuity
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Shock tracking
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numerical examples
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