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A non-homogeneous Riemann solver for shallow water equations in porous media
| Content Provider | Semantic Scholar |
|---|---|
| Author | Benkhaldoun, Fayssal Elmahi, Imad Moumna, A. Seaïd, Mohammed |
| Copyright Year | 2016 |
| Abstract | The purpose of the current research is to develop an accurate and efficient solver for shallow water flows in porous media. The hydraulics is modeled by the two-dimensional shallow water flows with variable horizontal porosity. The variation of porosity in the water flows can be attributed to the variation of bed properties of the water system. As an example of porous shallow water flows is the passage of water discharge over vegetated areas in a river. Driving force of the phase separation and the mixing is the gradient of the porosity. For the numerical solution procedure, we propose a non-homogeneous Riemann solver in the finite volume framework. The proposed method consists of a predictor stage for the discretization of gradient terms and a corrector stage for the treatment of source terms. The gradient fluxes are discretized using a modified Roe’s scheme using the sign of the Jacobian matrix in the coupled system. A well-balanced discretization is used for the treatment of source terms. The efficienc... |
| Starting Page | 2181 |
| Ending Page | 2202 |
| Page Count | 22 |
| File Format | PDF HTM / HTML |
| DOI | 10.1080/00036811.2015.1067304 |
| Volume Number | 95 |
| Alternate Webpage(s) | http://dro.dur.ac.uk/17023/1/17023.pdf?DDD10+des0ms+d700tmt |
| Alternate Webpage(s) | https://doi.org/10.1080/00036811.2015.1067304 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
