Projection finite volume method for shallow water flows

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

Abstract

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.

Citation

Benkhaldoun, F., Sari, S., & Seaid, M. (2015). Projection finite volume method for shallow water flows. Mathematics and Computers in Simulation, 118, 87-101. https://doi.org/10.1016/j.matcom.2014.11.027

• 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
• DOI: https://doi.org/10.1016/j.matcom.2014.11.027
• Keywords: Finite volume discretization, Projection method, Method of characteristics, Shallow water equations, Rotating flows.
• Public URL: https://durham-repository.worktribe.com/output/1394992