Space---time SUPG finite element computation of shallow-water flows with moving shorelines

Authors:
Shinsuke Takase;Kazuo Kashiyama;Seizo Tanaka;Tayfun E. Tezduyar
Affiliations:
Research Center of Computational Mechanics, Inc., Togoshi, Shinagawa-ku, Japan 142-0041;Department of Civil and Environmental Engineering, Chuo University, Bunkyo-ku, Japan 112-8551;Earthquake Research Institute, University of Tokyo, Bunkyo-ku, Tokyo, Japan 113-0032;Mechanical Engineering, Rice University, Houston, USA 77005
Venue:
Computational Mechanics
Year:
2011

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Abstract

We show that combination of the Deforming-Spatial-Domain/Stabilized Space---Time and the Streamline-Upwind/Petrov---Galerkin formulations can be used quite effectively for computation of shallow-water flows with moving shorelines. The combined formulation is supplemented with a stabilization parameter that was originally introduced for compressible flows, a compressible-flow shock-capturing parameter adapted for shallow-water flows, and remeshing based on using a background mesh. We present a number of test computations and provide comparisons to theoretical results, experimental data and results computed with nonmoving meshes.