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

Published online by Cambridge University Press:  02 October 2009

M. Chakir ,
D. Ouazar  and
A. Taik
M. Chakir
Affiliation:
Information Management and Technology, GIS Branch, New Brunswick, Department of Transportation, Kings Place, 440 King Street Fredericton N-B E3B-5H8, Canada
D. Ouazar
Affiliation:
Univ. Mohammed V, EMI, LASH, Av. Ibn Sina, B.P. 765 Agdal, Rabat, Morocco
A. Taik*
Affiliation:
Department of Mathematics, FSTM, HassanII-Mohammedia University, Morocco
*
taik_ahmed@yahoo.fr
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Abstract

The flow trough the Strait of Gibraltar could be analyzed as a problem oftwo-layerhydraulic exchange between the Atlantic ocean and the Mediterranean sea. Theshallow waterequations in both layers coupled together are an important tool to simulate thisphenomenon. Inthis paper we perform an upwind schemes for hyperbolic equations based on theRoe approximateRiemann solver, to study the resulting model. The main goal assigned was topredict the locationof the interface between the two layers. Therefore the computational resultsobtained are comparedto previous results and experiments.

Keywords

Strait of GibraltarAtlantic ocean layerMediterranean sea layerinterface betweenlayersshallow water modelfinite volume methodRoe approximate Riemannsolver

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