<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Water ow on vegetated hill. 1D shallow water equation type model

Institute of Statistical Mathematics and Applied Mathematics Romanian Academy Calea 13 Septembrie, No. 13, 050711 Bucharest,

Research Center for Ecological Services University of Bucharest Splaiul Independentei, No. 91-95, 050089 Bucharest,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Water ow on vegetated hill. 1D shallow water equation type model"}

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...

Water ow on vegetated hill. 1D shallow water equation type model

Published Online: Apr 22, 2017

Page range: 83 - 96

Received: Nov 01, 2014

Accepted: Feb 01, 2015

DOI: https://doi.org/10.1515/auom-2015-0049

Keywords
Hyperbolic system, finite volume method, well-balanced scheme, energy dissipation

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Water ow on vegetated hill. 1D shallow water equation type model

Published Online: Apr 22, 2017

Page range: 83 - 96

Received: Nov 01, 2014

Accepted: Feb 01, 2015

DOI: https://doi.org/10.1515/auom-2015-0049

KeywordsHyperbolic system, finite volume method, well-balanced scheme, energy dissipation

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Hyperbolic system, finite volume method, well-balanced scheme, energy dissipation