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2011•AIP conference proceedingsRequires access

Central-Upwind Scheme on Triangular Grids for the Saint-Venant System of Shallow Water Equations

Steve Bryson, Yekaterina Epshteyn, Alexander Kurganov, Guergana Petrova, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi

Open publisher page 4 citations

Abstract

We consider a novel second‐order central‐upwind scheme for the Saint‐Venant system of shallow water equations on triangular grids which was originally introduced in [3]. Here, in several numerical experiments we demonstrate accuracy, high resolution and robustness of the proposed method.

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What this paper is about

We consider a novel second‐order central‐upwind scheme for the Saint‐Venant system of shallow water equations on triangular grids which was originally introduced in [3]. Here, in several numerical experiments we demonstrate accuracy, high resolution and robustness of the proposed method.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We consider a novel second‐order central‐upwind scheme for the Saint‐Venant system of shallow water equations on triangular grids which was originally introduced in [3]. Here, in several numerical experiments we demonstrate accuracy, high resolution and robustness of the proposed method.

Key concepts: Shallow water equations, Upwind scheme, Robustness (evolution), Waves and shallow water, Scheme (mathematics), Computer science, Geology, Mathematics

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