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interface betweenlayers

Mathematical Modelling of Natural Phenomena (1)

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Roe Scheme for Two-layer Shallow Water Equations:Application to the Strait of Gibraltar
M. Chakir, D. Ouazar, A. Taik
Journal:

Mathematical Modelling of Natural Phenomena / Volume 4 / Issue 5 / 2009

Published online by Cambridge University Press:

02 October 2009, pp. 114-127

Print publication:

2009
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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.