Well-Balanced conservative central upwind scheme for solving the dam-break flow problem over erodible bed

Abdelhafid Serguini; Sanae Jelti; Abdelmajid El Hajaji

doi:10.5269/bspm.66942

Abdelhafid Serguini University Mohammed I
Sanae Jelti University Mohammed I
Abdelmajid El Hajaji Chouaib Doukkali University

Abstract

This work deals with the numerical solution of dam-break flow over an erodible bed. The mathematical model is a combination of the shallow water, the transport diffusion and the bed morphology change equations. The system is solved by a well-Balanced central upwind scheme with conservative property. Several tests are illustrated in order to validate the accuracy and the performance of the model. A comparison of central upwind scheme and Roe scheme is presented.

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Author Biographies

Abdelhafid Serguini, University Mohammed I

LANO Laboratory

Sanae Jelti, University Mohammed I

M/E Laboratory

Abdelmajid El Hajaji, Chouaib Doukkali University

LIRO Laboratory

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