A VFRoe scheme for 1D shallow water flows : wetting and drying simulation
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arXiv
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| Formato: | Preprint |
| Publicado: |
2006
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| _version_ | 1866915559908573184 |
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| author | Bello, Abdou Wahidi |
| author_facet | Bello, Abdou Wahidi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_cs_0609114 |
| institution | arXiv |
| publishDate | 2006 |
| record_format | arxiv |
| spellingShingle | A VFRoe scheme for 1D shallow water flows : wetting and drying simulation Bello, Abdou Wahidi Numerical Analysis 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. |
| title | A VFRoe scheme for 1D shallow water flows : wetting and drying simulation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/cs/0609114 |