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

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