Open access
Date
1995-06Type
- Report
ETH Bibliography
yes
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Abstract
A truly two-dimensional scheme based on a finite volume discretization on structured meshes will be developed for solving the shallow water equations. The idea of the method of transport, developed by M. Fey for the compressible Euler equations [6], is modified for our case. In contrast to this, the flux of the shallow water equations is not homogeneous. Hence, the eigenvectors of the Jacobi matrix of the flux can not be used to decompose the state vector. We show that there exist vectors such that the same kind of waves as for the Euler equations can be obtained. Source terms and appropriate boundary conditions have to be included, to be able to simulate river flow or flow in water reservoirs. Some numerical results will be shown. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004284320Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
Shallow water equations; multidimensional waves; dimensional splittingOrganisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
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ETH Bibliography
yes
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