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.
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页码：1379 / 1394
页数：16
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