COMPUTATION OF INCOMPRESSIBLE VISCOUS FLOWS BY THE 3RD-ORDER UPWIND FINITE-ELEMENT METHOD

被引：9

作者：

KONDO, N ^{[1
]}

TOSAKA, N ^{[1
]}

NISHIMURA, T ^{[1
]}

机构：

[1] NIHON UNIV,COLL IND TECHNOL,DEPT MATH ENGN,NARASHINO,CHIBA 275,JAPAN

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 1992年 / 15卷 / 09期

关键词：

3RD-ORDER UPWIND SCHEME; FINITE ELEMENT METHOD; PETROV-GALERKIN FORMULATION; MIXED FORMULATION;

D O I：

10.1002/fld.1650150907

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A third-order upwind finite element scheme is presented for numerical solutions of incompressible viscous flow problems. In order to achieve the third-order upwind approximation for only the convection term in the Navier-Stokes equations, a simplified Petrov-Galerkin formulation in which a modified weighting function is expressed by the sum of a standard weighting function and its second and third spatial derivatives is employed. The mixed method is also employed in the formulation so that a discretization with high-order accuracy in space is carried out by the use of linear elements. Because a truncation error caused by the third-order upwind approximation is smaller than that of a first-order upwind scheme, it is expected that the third-order upwind scheme will greatly improve the numerical solutions of the Navier-Stokes equations. Numerical results in one and two dimensions are presented to illustrate the effectiveness of the proposed scheme.

引用

页码：1013 / 1024

页数：12

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