| Autor: |
Ion Stelian, Marinescu Dorin, Cruceanu Stefan-Gicu |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 26, Iss 2, Pp 145-173 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
1844-0835 |
| DOI: |
10.2478/auom-2018-0023 |
| Popis: |
We investigate the existence of the solution of the Riemann Problem for a simplified water ow model on a vegetated surface - system of shallow water type equations. It is known that the system with discontinuous topography is non-conservative even if the porosity is absent. A system with continuous topography and discontinuous porosity is also non-conservative. In order to define Riemann solution for such systems, it is necessary to introduce a family of paths that connects the states defining the Riemann Problem. We focus our attention towards choosing such a family based on physical arguments. We provide the structure of the solution for such Riemann Problems. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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