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

M. Chakir; D. Ouazar; A. Taik

Mathematical Modelling of Natural Phenomena (2009)

  • Volume: 4, Issue: 5, page 114-127
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Chakir, M., Ouazar, D., and Taik, A.. "Roe Scheme for Two-layer Shallow Water Equations: Application to the Strait of Gibraltar." Mathematical Modelling of Natural Phenomena 4.5 (2009): 114-127. <http://eudml.org/doc/222375>.

@article{Chakir2009,
abstract = { 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. },
author = {Chakir, M., Ouazar, D., Taik, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {Strait of Gibraltar; Atlantic ocean layer; Mediterranean sea layer; interface between layers; shallow water model; finite volume method; Roe approximate Riemann solver; atlantic ocean layer; mediterranean sea layer; interface between layers; Roe approximate Riemann solver},
language = {eng},
month = {10},
number = {5},
pages = {114-127},
publisher = {EDP Sciences},
title = {Roe Scheme for Two-layer Shallow Water Equations: Application to the Strait of Gibraltar},
url = {http://eudml.org/doc/222375},
volume = {4},
year = {2009},
}

TY - JOUR
AU - Chakir, M.
AU - Ouazar, D.
AU - Taik, A.
TI - Roe Scheme for Two-layer Shallow Water Equations: Application to the Strait of Gibraltar
JO - Mathematical Modelling of Natural Phenomena
DA - 2009/10//
PB - EDP Sciences
VL - 4
IS - 5
SP - 114
EP - 127
AB - 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.
LA - eng
KW - Strait of Gibraltar; Atlantic ocean layer; Mediterranean sea layer; interface between layers; shallow water model; finite volume method; Roe approximate Riemann solver; atlantic ocean layer; mediterranean sea layer; interface between layers; Roe approximate Riemann solver
UR - http://eudml.org/doc/222375
ER -

References

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