SPACE-TIME FINITE ELEMENT FORMULATION FOR SHALLOW WATER EQUATIONS WITH SHOCK-CAPTURING OPERATOR
DOI:
https://doi.org/10.15381/pes.v3i1.9243Abstract
This paper presents a space-time formulation for problems governed by the shallow water equations. A linear time discontinuous approximation is adopted and the streamline upwind Petrov-Galerkin (SUPG) methodis applied in its equivalent form to fit the time discretization. Also, a shock-capturíng operator is used in order to solve all details of sharp layers and/or shock discontinuities. The semi-discrete version is also established and numerical examples compare the performance of these methods.
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Copyright (c) 2000 Rigoberto G Sanabria Castro
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