A VFRoe scheme for 1D shallow water flows : wetting and drying simulation
Numerical Analysis
2025-10-20 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.cs/0609114,
title = {A VFRoe scheme for 1D shallow water flows : wetting and drying simulation},
author = {Abdou Wahidi Bello},
journal= {arXiv preprint arXiv:cs/0609114},
year = {2025}
}