A SPLIT-CHARACTERISTIC BASED FINITE-ELEMENT MODEL FOR THE SHALLOW-WATER EQUATIONS

被引：63

作者：

ZIENKIEWICZ, OC ^{[1
]}

ORTIZ, P ^{[1
]}

机构：

[1] CTR ESTUDIOS TECN APLICADAS,E-28014 MADRID,SPAIN

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 1995年 / 20卷 / 8-9期

关键词：

COMPUTATIONAL FLUID DYNAMICS; SHALLOW WATER EQUATIONS; TIDES;

D O I：

10.1002/fld.1650200823

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new algorithm for the solution of the shallow water equations is introduced. The formulation is founded on a suitable operator-splitting procedure for which a characteristic-based rational form of including balancing dissipation terms is achieved. In the semi-explicit form the method circumvents the requirement of a critical time step given in terms of the wave celerity, which is restrictive for the analysis of long-wave propagation in shallow waters. In this work the robustness of the algorithm is illustrated for transient shallow water problems and for some supercritical flows, where the choice of an algorithm with optimal diffusion properties is manifest.

引用

页码：1061 / 1080

页数：20

共 20 条

[1]

Lynch D.R., Gray W., A wave equation model for finite element tidal computations, Comput. Fluids, 7, pp. 207-228, (1979)

[2]

Peraire J., Zienkiewicz O.C., Morgan K., Shallow water problems. A general explicit formulation, Int. j. numer. methods eng., 22, pp. 547-574, (1986)

[3]

Zienkiewicz O.C., Wu J., Peraire J., A new semi‐implicit or explicit algorithm for shallow water equations, Math. Mod. Sci. Comput., 1, pp. 31-49, (1993)

[4]

Kawahara M., Hirano H., Tsuhora K., Iwagaki K., Selective lumping finite element method for shallow water flow, Int. j. numer. methods eng, 2, pp. 99-112, (1982)

[5]

Daubert O., Hervouet J., Jami A., Description of some numerical tools for solving incompressible turbulent and free surface flows, Int. j. numer. methods eng., 27, pp. 3-20, (1989)

[6]

Foreman M.G., An analysis of the ‘wave equation’ model for finite element tidal computation, J. Comput. Phys., 52, pp. 290-312, (1983)

[7]

Kinnmark I., Gray W., An implicit wave equation model for the shallow water equations, Adv. Water Resources, 7, pp. 168-171, (1984)

[8]

Navon I.M., A review of finite element methods for solving the shallow water equations, Computer Modelling in Ocean Engineering, pp. 273-278, (1988)

[9]

Donea J., A Taylor‐Galerkin method for convective transport problems, Int. j. numer. methods eng., 20, pp. 101-109, (1984)

[10]

Zienkiewicz O.C., Taylor R., The Finite Element Method, 2, (1991)

← 1 2 →