Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system

Steve Bryson, Yekaterina Epshteyn, Alexander Kurganov, Guergana Petrova

Research output: Contribution to journalArticlepeer-review

57 Scopus citations

Abstract

We introduce a new second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids. We prove that the scheme both preserves "lake at rest" steady states and guarantees the positivity of the computed fluid depth. Moreover, it can be applied to models with discontinuous bottom topography and irregular channel widths. We demonstrate these features of the new scheme, as well as its high resolution and robustness in a number of numerical examples. © EDP Sciences, SMAI, 2010.
Original languageEnglish (US)
Pages (from-to)423-446
Number of pages24
JournalESAIM: Mathematical Modelling and Numerical Analysis
Volume45
Issue number3
DOIs
StatePublished - Oct 11 2010
Externally publishedYes

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