Space-time SUPG formulation of the shallow-water equations

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

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We present a new space-time SUPG formulation of the shallow-water equations. In this formulation, we use a stabilization parameter that was introduced for compressible flows and a new shock-capturing parameter. In the context of two test problems, we evaluate the performance of the new shock-capturing parameter. We also evaluate the performance of the space-time SUPG formulation compared to the semi-discrete SUPG formulation, where the system of semi-discrete equations is solved with the central-difference (Crank-Nicolson) time-integration algorithm.

Original languageEnglish
Pages (from-to)1379-1394
Number of pages16
JournalInternational Journal for Numerical Methods in Fluids
Volume64
Issue number10-12
DOIs
Publication statusPublished - 2010
Externally publishedYes

Fingerprint

Compressible flow
Shallow Water Equations
Stabilization
Space-time
Shock Capturing
Formulation
Water
Crank-Nicolson
Evaluate
Discrete Equations
Compressible Flow
Time Integration
Test Problems

Keywords

  • Finite element method
  • Shallow-water equations
  • Shock-capturing parameter
  • Space-time method
  • SUPG formulation

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Cite this

Space-time SUPG formulation of the shallow-water equations. / Takase, Shinsuke; Kashiyama, Kazuo; Tanaka, Seizo; Tezduyar, Tayfun E.

In: International Journal for Numerical Methods in Fluids, Vol. 64, No. 10-12, 2010, p. 1379-1394.

Research output: Contribution to journalArticle

Takase, Shinsuke ; Kashiyama, Kazuo ; Tanaka, Seizo ; Tezduyar, Tayfun E. / Space-time SUPG formulation of the shallow-water equations. In: International Journal for Numerical Methods in Fluids. 2010 ; Vol. 64, No. 10-12. pp. 1379-1394.
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