Space-time SUPG formulation of the shallow-water equations

被引：29

作者：

Takase, Shinsuke

Kashiyama, Kazuo ^{[1
]}

Tanaka, Seizo ^{[2
]}

Tezduyar, Tayfun E. ^{[3
]}

机构：

[1] Chuo Univ, Dept Civil Engn, Bunkyo Ku, Tokyo 1128551, Japan

[2] Univ Notre Dame, Dept Civil Engn & Geol Sci, Notre Dame, IN 46556 USA

[3] Rice Univ, Dept Mech Engn, Houston, TX 77005 USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2010年 / 64卷 / 10-12期

关键词：

shallow-water equations; finite element method; space-time method; SUPG formulation; shock-capturing parameter; FINITE-ELEMENT-METHOD; INCOMPRESSIBLE-FLOW COMPUTATIONS; ADVECTIVE-DIFFUSIVE SYSTEMS; INVISCID SUPERSONIC FLOWS; MOVING BOUNDARIES; COMPRESSIBLE FLOWS; STABILIZATION PARAMETERS; FLUID-DYNAMICS; INTERFACES; CYLINDERS;

D O I：

10.1002/fld.2464

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：1379 / 1394

页数：16

共 50 条

[1] A symmetric formulation and SUPG scheme for the shallow-water equations
Bova, SW
Carey, GF
ADVANCES IN WATER RESOURCES, 1996, 19 (03) : 123 - 131
[2] Space-time SUPG finite element computation of shallow-water flows with moving shorelines
Takase, Shinsuke
Kashiyama, Kazuo
Tanaka, Seizo
Tezduyar, Tayfun E.
COMPUTATIONAL MECHANICS, 2011, 48 (03) : 293 - 306
[3] A space-time finite element formulation for the shallow water equations
Ribeiro, FLB
Galeao, AC
Landau, L
DEVELOPMENT AND APPLICATION OF COMPUTER TECHNIQUES TO ENVIRONMENTAL STUDIES VI, 1996, : 403 - 414
[4] SUPG formulation augmented with YZβ shock-capturing for computing shallow-water equations
Cengizci, Suleyman
Ugur, Omur
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2023, 103 (06):
[5] Space-time development of the onset of a shallow-water vortex
Lin, JC
Ozgoren, M
Rockwell, D
JOURNAL OF FLUID MECHANICS, 2003, 485 : 33 - 66
[6] Space–time SUPG finite element computation of shallow-water flows with moving shorelines
Shinsuke Takase
Kazuo Kashiyama
Seizo Tanaka
Tayfun E. Tezduyar
Computational Mechanics, 2011, 48 : 293 - 306
[7] Space-time least-squares finite-element method for shallow-water equations
Liang, Shin-Jye
Chen, Ying-Chih
Journal of Marine Science and Technology, 2011, 19 (05): : 571 - 578
[8] SPACE-TIME LEAST-SQUARES FINITE-ELEMENT METHOD FOR SHALLOW-WATER EQUATIONS
Liang, Shin-Jye
Chen, Ying-Chih
JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN, 2011, 19 (05): : 571 - 578
[9] A stable space-time FE method for the shallow water equations
Eirik Valseth
Clint Dawson
Computational Geosciences, 2022, 26 : 53 - 70
[10] A stable space-time FE method for the shallow water equations
Valseth, Eirik
Dawson, Clint
COMPUTATIONAL GEOSCIENCES, 2022, 26 (01) : 53 - 70

← 1 2 3 4 5 →