A simple finite volume method for the shallow water equations

We present a new finite volume method for the numerical solution of shallow water equations for either flat or non-flat topography. The method is simple, accurate and avoids the solution of Riemann problems during the time integration process. The proposed approach consists of a predictor stage and...

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Vydané v:	Journal of computational and applied mathematics Ročník 234; číslo 1; s. 58 - 72
Hlavní autori:	Benkhaldoun, Fayssal, Seaïd, Mohammed
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Kidlington Elsevier B.V 01.05.2010 Elsevier
Predmet:	Dam-break problems Exact sciences and technology Finite volume scheme Mathematical analysis Mathematics Measure and integration Method of characteristics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Shallow water equations Shallow water equations Finite volume scheme Method of characteristics Dam-break problems Integration Riemann problem Initial value problem Finite volume method Shallow water Partial differential equation Numerical analysis Applied mathematics Numerical solution Analytical solution
ISSN:	0377-0427, 1879-1778
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