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

Shinsuke Takase, Kazuo Kashiyama*, Seizo Tanaka, Tayfun E. Tezduyar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)293-306
Number of pages14
JournalComputational Mechanics
Issue number3
Publication statusPublished - 2011 Sept
Externally publishedYes


  • Background mesh
  • Moving shorelines
  • SUPG formulation
  • Shallow-water equations
  • Space-time finite element method
  • Wave runup

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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