On the limits of operator splitting numerical experiments for the complex Burgers equation
Abstract: "A high resolution Godunov-type method is developed and applied to a two-dimensional version of the Burgers equation. On one- dimensional testproblems [sic] the scheme is second order accurate for smooth flow and resolves discontinuities sharply. On two-dimensional problems, however,...
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Format: | UnknownFormat |
Sprache: | eng |
Veröffentlicht: |
Berlin
1991
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Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report
1991,3 |
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Zusammenfassung: | Abstract: "A high resolution Godunov-type method is developed and applied to a two-dimensional version of the Burgers equation. On one- dimensional testproblems [sic] the scheme is second order accurate for smooth flow and resolves discontinuities sharply. On two-dimensional problems, however, large numerical oscillations are introduced when discontinuities traveling obliquely to the grid directions are present. These oscillations are caused by a Strang-type operator splitting, and cannot be eliminated using flux limiters or small timesteps." |
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Beschreibung: | 30 S. |