期刊
JOURNAL OF SCIENTIFIC COMPUTING
卷 48, 期 1-3, 页码 241-257出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-010-9440-8
关键词
Hyperbolic balance laws; Well-balanced schemes; C-property
资金
- Spanish projects [MTM2008-00974, MTM2009-07719]
We extend the well-balanced second order hybrid scheme developed in Donat and Martinez-Gavara (J. Sci. Comput., to appear) to the one-dimensional and two-dimensional shallow water system. We show that the scheme is exactly well-balanced for quiescent steady states, when a particular integration formula is employed, just as in the scalar models considered in Donat and Martinez-Gavara (J. Sci. Comput., to appear). A standard treatment of wet/dry fronts can easily be adapted, obtaining a robust scheme that produces well-resolved numerical solutions.
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