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Projection finite volume method for shallow water flows

Benkhaldoun, F.; Sari, S.; Seaid, M.

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F. Benkhaldoun

S. Sari


A simple and accurate projection finite volume method is developed for solving shallow water equations in two space dimensions. The proposed approach belongs to the class of fractional-step procedures where the numerical fluxes are reconstructed using the method of characteristics, while an Eulerian method is used to discretize the conservation equations in a finite volume framework. The method is conservative and it combines advantages of the method of characteristics to accurately solve the shallow water flows with an Eulerian finite volume method to discretize the equations. Numerical results are presented for several applications in rotating shallow water problems. The aim of such a method compared to the conventional finite volume methods is to solve shallow water equations efficiently and with an appropriate level of accuracy.


Benkhaldoun, F., Sari, S., & Seaid, M. (2015). Projection finite volume method for shallow water flows. Mathematics and Computers in Simulation, 118, 87-101.

Journal Article Type Article
Acceptance Date Nov 24, 2014
Publication Date Dec 1, 2015
Deposit Date Nov 30, 2015
Publicly Available Date Dec 4, 2015
Journal Mathematics and Computers in Simulation
Print ISSN 0378-4754
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 118
Pages 87-101
Keywords Finite volume discretization, Projection method, Method of characteristics, Shallow water equations, Rotating flows.


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