Space-time SUPG formulation of the shallow-water equations

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

doi:10.1002/fld.2464

Space-time SUPG formulation of the shallow-water equations

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

25 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 language	English
Pages (from-to)	1379-1394
Number of pages	16
Journal	International Journal for Numerical Methods in Fluids
Volume	64
Issue number	10-12
DOIs	https://doi.org/10.1002/fld.2464
Publication status	Published - 2010
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

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

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10.1002/fld.2464

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keywords = "Finite element method, SUPG formulation, Shallow-water equations, Shock-capturing parameter, Space-time method",

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AU - Takase, Shinsuke

AU - Kashiyama, Kazuo

AU - Tanaka, Seizo

AU - Tezduyar, Tayfun E.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Finite element method

KW - SUPG formulation

KW - Shallow-water equations

KW - Shock-capturing parameter

KW - Space-time method

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JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

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ER -

Space-time SUPG formulation of the shallow-water equations

Abstract

Keywords

ASJC Scopus subject areas

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