A VFRoe scheme for 1D shallow water flows : wetting and drying simulation
<|reference_start|>A VFRoe scheme for 1D shallow water flows : wetting and drying simulation: 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.<|reference_end|>
@article{bello2006a,
    title={A VFRoe scheme for 1D shallow water flows : wetting and drying
  simulation},
    author={Abdou Wahidi Bello (INRIA Sophia Antipolis / INRIA Rh^one-Alpes)},
    journal={arXiv preprint arXiv:cs/0609114},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0609114},
    primaryClass={cs.NA}
}