Loading...
Please wait, while we are loading the content...
Similar Documents
A high-order augmented Riemann solver for the treatment of bottom steps and porosity discontinuities in the shallow water equations with porosity
| Content Provider | Scilit |
|---|---|
| Author | Ferrari, A. Vacondio, R. Mignosa, P. |
| Copyright Year | 2020 |
| Description | This paper presents a novel high-order approximate Riemann solver capable of treating porous and bottom discontinuities, in the framework of the 1D Shallow Water Equations with porosity. To this purpose, a new set of well-balanced governing equations, based on the isotropic porosity parameter, is derived, and the novel augmented non-conservative Riemann problem is solved adopting the path-conservative DOT scheme, which is robust, general and entropy satisfying. The implementation in the ADER framework, together with a Total Variation Diminishing reconstruction, allows achieving a non-oscillatory second order accurate scheme in both space and time. The proposed numerical solver preserves the quiescent flow condition, which is a crucial task of the SWEs modeling, over a non-flat bottom and with a non-uniform porous field. Finally, the numerical model is validated against a selection of Riemann problems, which develop across porosity discontinuities and bed steps including shocks and transonic rarefactions. Book Name: River Flow 2020 |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2020-0-17797-6&isbn=9781003110958&doi=10.1201/b22619-155&format=pdf |
| Ending Page | 1113 |
| Page Count | 10 |
| Starting Page | 1104 |
| DOI | 10.1201/b22619-155 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2020-08-27 |
| Access Restriction | Open |
| Subject Keyword | Book Name: River Flow 2020 Mathematical Physics Modeling Porosity Treatment Scheme Porous Riemann Augmented Equations Solver Bottom |
| Content Type | Text |
| Resource Type | Chapter |
