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Title: Numerical modeling of shallow flows including bottom topography and friction effects
Language: English
Authors: Medviďová-Lukáčová, Mária 
Keywords: shallow water equations, finite volume evolution Galerkin method, river simulations, well-balanced scheme, hyperbolic balance laws
Issue Date: Nov-2004
Abstract (english): 
The aim of the paper is numerical modeling of the shallow water equation with source terms by genuinely multdimensional finite volume evolution Galerkin schemes. The shallow water system, or its one-dimensional analogy the Saint-Venant equation, is used extensively for numerical simulation of natural rivers. Mathematically the shallow water system belongs to the class of balance laws. A special treatment of the source terms describing the bottom topography as well as frictions effects is necessary in order to reflect their balance with the gradients of fluxes. We present behaviour of our new well-balance FVEG scheme for several benchmark test problems and compare our results with those obtained by the finite element scheme of Teschke et al. used for practical river simulations.
DOI: 10.15480/882.110
Institute: Mathematik E-10 
Document Type: Preprint
License: In Copyright In Copyright
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 84
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