Space-time finite element formulation for shallow water equations with shock-capturing operator

• Sanabria Castro, Rigoberto G ^[1]
  1. [1] Universidad Nacional Mayor de San Marcos

     Universidad Nacional Mayor de San Marcos

     Perú

     
• Localización: Pesquimat, ISSN-e 1609-8439, ISSN 1560-912X, Vol. 3, Nº. 1, 2000
• Idioma: inglés
• DOI: 10.15381/pes.v3i1.9243
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• Resumen

  • 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.