Vorticity-preserving Lax-Wendroff-type schemes for the system wave equation (Q2719275)
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scientific article; zbMATH DE number 1608934
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vorticity-preserving Lax-Wendroff-type schemes for the system wave equation |
scientific article; zbMATH DE number 1608934 |
Statements
21 June 2001
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unstructured grids
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discrete Kelvin's theorem
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Vorticity-preserving Lax-Wendroff-type schemes for the system wave equation (English)
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The authors discover the vorticity-preserving property of Lax-Wendroff scheme for the system wave equation. In the numerical solution of the fluid problem, vorticity can be generated by truncation error. For preventing it, some conditions are given. The present scheme turns out to have optimal properties regarding stability and truncation error. The extension of the scheme to unstructured grids is given, together with some discussion of practical problems to which these schemes might bring improvement.
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