Water ow on vegetated hill. 1D shallow water equation type model
| Autor: | Stelian Ion, Dorin Marinescu, Anca Veronica Ion, Virgil Iordache, Stefan Gicu Cruceanu |
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| Rok vydání: | 2015 |
| Předmět: |
Surface (mathematics)
Water flow 0208 environmental biotechnology Geometry Terrain 02 engineering and technology Radius Type (model theory) Curvature 01 natural sciences 010305 fluids & plasmas 020801 environmental engineering 0103 physical sciences General Materials Science Geotechnical engineering Shallow water equations Geology Variable (mathematics) |
| Zdroj: | Analele Universitatii "Ovidius" Constanta - Seria Matematica. 23:83-96 |
| ISSN: | 1844-0835 |
| DOI: | 10.1515/auom-2015-0049 |
| Popis: | A mathematical model for the water ow on a hill covered by variable distributed vegetation is proposed in this article. The model takes into account the variation of the geometrical properties of the terrain surface, but it assumes that the surface exhibits large curvature radius. After describing some theoretical properties for this model, we introduce a simplified model and a well-balanced numerical approximation scheme for it. Some mathematical properties with physical relevance are discussed and finally, some numerical results are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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