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A multiscale method applied to shallow water flow


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Opened Access A multiscale method applied to shallow water flow
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Author: Martínez Gavara, Anna
Chiavassa, Guillaume
Donat Beneito, Rosa María
Date: 2007-09
Published in: XX Congreso de Ecuaciones Diferenciales y Aplicaciones. Sevilla, 24-28 de septiembre de 2007
Document type: Presentation
Abstract: A flux-limited second order scheme with the C-property is used to solve the one dimensional or two dimensional Saint-Venant system for shallow water flows with non-flat bottom and friction terms, as is introduced in [7] G. Haro, Numerical simulation of shallow water equations amd some physical models in image processing. Ph.D.Thesis, Departament of Technologies, Universitat Pompeu Fabra, Barcelona, 2005. High resolution at low cost can be obtained by applying a point-value multiresolution transform [2, 3, 9] in order to detect regions with singularities. The above method is applied in these regions, while a cheap polynomial interpolation is used in the smooth zones, thus lowering the computational cost.
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