Calculation of shallow water ̄ows using a Cartesian cut cell approach
نویسنده
چکیده
A new grid generation method for the computation of shallow water ̄ows is presented. The procedure, based on the use of cut cells on a Cartesian background mesh, can cope with shallow water problems having arbitrarily complex geometries. Although the method provides a fully boundary-®tted capability, no mesh generation in the conventional sense is required. Solid regions are simply cut out of a background Cartesian mesh with their boundaries represented by dierent types of cut cell. For the ̄ow calculations a multi-dimensional high resolution upwind ®nite volume scheme is used in conjunction with an ecient approximate Riemann solver to deal with complex shallow water problems involving steady or unsteady hydraulic discontinuities. The method is validated for several test problems involving unsteady shallow water ̄ows. Ó 2000 Published by Elsevier Science Ltd. All rights reserved.
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