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

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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.

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Authors and Affiliations

  1. Research Center of Computational Mechanics, Inc., Togoshi NI-Bldg. 1-7-1, Togoshi, Shinagawa-ku, 142-0041, Japan

    Shinsuke Takase

  2. Department of Civil and Environmental Engineering, Chuo University, 1-13-27 Kasuga, Bunkyo-ku, 112-8551, Japan

    Kazuo Kashiyama

  3. Earthquake Research Institute, University of Tokyo, Bunkyo-ku, Tokyo, 113-0032, Japan

    Seizo Tanaka

  4. Mechanical Engineering, Rice University, 6100 Main Street, Houston, TX, 77005, USA

    Tayfun E. Tezduyar

Authors
  1. Shinsuke Takase
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  2. Kazuo Kashiyama
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  3. Seizo Tanaka
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  4. Tayfun E. Tezduyar
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Correspondence to Kazuo Kashiyama.

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Takase, S., Kashiyama, K., Tanaka, S. et al. Space–time SUPG finite element computation of shallow-water flows with moving shorelines. Comput Mech 48, 293–306 (2011). https://doi.org/10.1007/s00466-011-0618-1

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