A VFRoe scheme for 1D shallow water flows : wetting and drying simulation

Abdou Wahidi Bello

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arXiv · cs/0609114

A VFRoe scheme for 1D shallow water flows : wetting and drying simulation

Abdou Wahidi Bello

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Abstract

A finite-volume method for the one-dimensional shallow-water equations including topographic source terms is presented. Exploiting an original idea by Leroux, the system of partial-differential equations is completed by a trivial equation for the bathymetry. By applying a change of variable, the system is given a celerity-speed formulation, and linearized. As a result, an approximate Riemann solver preserving the positivity of the celerity can be constructed, permitting wetting and drying flow simulations to be performed. Finally, the simulation of numerical test cases is presented.

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Abdou Wahidi Bello. 2006-09-20. A VFRoe scheme for 1D shallow water flows : wetting and drying simulation. https://arxiv.org/abs/cs/0609114

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