A stable and efficient hybrid scheme for viscous problems in complex geometries

In this paper, we present a stable hybrid scheme for viscous problems. The hybrid method combines the unstructured finite volume method with high-order finite difference methods on complex geometries. The coupling procedure between the two numerical methods is based on energy estimates and stable in...

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Veröffentlicht in:	Journal of computational physics 2007-10, Vol.226 (2), p.1291-1309
Hauptverfasser:	Gong, Jing, Nordström, Jan
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Computational techniques Computer science Coupling procedure Datavetenskap Efficiency Exact sciences and technology Finite difference Finite volume Hybrid methods Information technology Informationsteknik MATEMATIK Mathematical methods in physics MATHEMATICS Physics Stability TECHNOLOGY TEKNIKVETENSKAP Tillämpad matematik Viscous problems
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Zusammenfassung:	In this paper, we present a stable hybrid scheme for viscous problems. The hybrid method combines the unstructured finite volume method with high-order finite difference methods on complex geometries. The coupling procedure between the two numerical methods is based on energy estimates and stable interface conditions are constructed. Numerical calculations show that the hybrid method is efficient and accurate.
ISSN:	0021-9991 1090-2716 1090-2716
DOI:	10.1016/j.jcp.2007.05.018