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

Shinsuke Takase; Kazuo Kashiyama; Seizo Tanaka; Tayfun E. Tezduyar

doi:10.1007/s00466-011-0618-1

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 journal › Article › peer-review

24 Citations (Scopus)

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.

Original language	English
Pages (from-to)	293-306
Number of pages	14
Journal	Computational Mechanics
Volume	48
Issue number	3
DOIs	https://doi.org/10.1007/s00466-011-0618-1
Publication status	Published - 2011 Sept
Externally published	Yes

Keywords

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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10.1007/s00466-011-0618-1

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title = "Space-time SUPG finite element computation of shallow-water flows with moving shorelines",

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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T1 - Space-time SUPG finite element computation of shallow-water flows with moving shorelines

AU - Takase, Shinsuke

AU - Kashiyama, Kazuo

AU - Tanaka, Seizo

AU - Tezduyar, Tayfun E.

PY - 2011/9

Y1 - 2011/9

N2 - 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.

AB - 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.

KW - Background mesh

KW - Moving shorelines

KW - SUPG formulation

KW - Shallow-water equations

KW - Space-time finite element method

KW - Wave runup

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JO - Computational Mechanics

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

Abstract

Keywords

ASJC Scopus subject areas

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