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Convergence of hybrid MUSCL-type schemes

Konvergenz von hybriden MUSCL-typ schemata

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Abstract

Fully discrete 2nd order accurate TVNI Hybrid MUSCL-type schemes are presented. The entropy inequality of the schemes is proved. Hence, the approximation solutions converge to the entropy solution of conservation laws.

Zusammenfassung

Vorgestellt werden voll diskretisierte TVNI Hybrid-MUSCL-Typ Schemata 2-ter Ordnung. Für die Schemata wird die Entropie-Ungleichung bewiesen. Somit konvergieren die Näherungslösungen zur Entropie-Lösung der Erhaltungsgesetze.

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Dai, J., Ren, H. Convergence of hybrid MUSCL-type schemes. Computing 44, 133–146 (1990). https://doi.org/10.1007/BF02241863

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  • DOI: https://doi.org/10.1007/BF02241863

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