Stable finite-element solution of the incompressible Navier-Stokes equations using linear interpolations for velocity and pressure

被引：5

作者：

Fernandez, G ^{[1
]}

Hafez, M ^{[1
]}

机构：

[1] Univ Calif Davis, Dept Mech & Aeronaut Engn, Davis, CA 95616 USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2001年 / 191卷 / 6-7期

关键词：

incompressible flows; Navier-Stokes equations; finite elements; least squares;

D O I：

10.1016/S0045-7825(01)00301-2

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A velocity decomposition least squares method is reexamined and the results of several test cases are presented. All the present calculations are based on linear triangular elements, with a new treatment of boundary conditions. For high Reynolds number flows, second-order upwind schemes are adopted and the Lanczos method is applied to accelerate the convergence of the iterative scheme which is based on the symmetric Gauss-Seidel algorithm. Extension to unsteady flows is also presented. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：545 / 559

页数：15

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