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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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 234; no. 1; pp. 58 - 72
Main Authors:	Benkhaldoun, Fayssal, Seaïd, Mohammed
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier B.V 01.05.2010 Elsevier
Subjects:	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
Online Access:	Get full text
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