Upwind Schemes for the Two-Dimensional Shallow Water Equations With Variable Depth Using Unstructured Meshes (1998)
| Citations: | 4 - 0 self |
BibTeX
@MISC{Bermudez98upwindschemes,
author = {A. Bermudez and J. A. Desideri and M.E. Vazquez and A. Dervieux and A. Dervieux},
title = {Upwind Schemes for the Two-Dimensional Shallow Water Equations With Variable Depth Using Unstructured Meshes},
year = {1998}
}
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Abstract
In this paper, certain well-known upwind schemes for hyperbolic equations are extended to solve the two-dimensional Saint-Venant (or shallow water) equations. We consider unstructured meshes and a new type of finite volume to obtain a suitable treatment of the boundary conditions. The source term involving the gradient of the depth is upwinded in a similar way as the flux terms. The resulting schemes are compared in terms of a conservation property. For the time discretization we consider both explicit and implicit schemes. Finally we present the numerical results for tidal flows in the Pontevedra ria, Galicia, Spain.
