Roe Scheme for Two-layer Shallow Water Equations: Application to the Strait of Gibraltar

M. Chakir¹ ; D. Ouazar² ; A. Taik³

¹ Information Management and Technology, GIS Branch, New Brunswick, Department of Transportation, Kings Place, 440 King Street Fredericton N-B E3B-5H8, Canada
² Univ. Mohammed V, EMI, LASH, Av. Ibn Sina, B.P. 765 Agdal, Rabat, Morocco
³ Department of Mathematics, FSTM, HassanII-Mohammedia University, Morocco

Mathematical modelling of natural phenomena, Tome 4 (2009) no. 5, pp. 114-127.

Résumé

The flow trough the Strait of Gibraltar could be analyzed as a problem of two-layer hydraulic exchange between the Atlantic ocean and the Mediterranean sea. The shallow water equations in both layers coupled together are an important tool to simulate this phenomenon. In this paper we perform an upwind schemes for hyperbolic equations based on the Roe approximate Riemann solver, to study the resulting model. The main goal assigned was to predict the location of the interface between the two layers. Therefore the computational results obtained are compared to previous results and experiments.

Détail

DOI : 10.1051/mmnp/20094508

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