A new stabilized finite element formulation for scalar convection-diffusion problems: the streamline and approximate upwind Petrov-Galerkin method

被引：26

作者：

do Carmo, EGD ^{[1
]}

Alvarez, GB ^{[1
]}

机构：

[1] Univ Fed Rio de Janeiro, COPPE, Dept Nucl Engn, BR-21945970 Rio De Janeiro, Brazil

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2003年 / 192卷 / 31-32期

关键词：

stabilized FEM; diffusion-convection; stabilization; Petrov-Galerkin;

D O I：

10.1016/S0045-7825(03)00292-5

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A new stabilized and accurate finite element formulation for convection-dominated problems is herein developed. The basis of the new formulation is the choice of a new upwind function. The upwind function chosen for the new method provokes its degeneration into the SUPG or CAU methods, depending on the approximate solution's regularity. The accuracy and stability of the new formulation for the linear and scalar advection-diffusion equation is demonstrated in several numerical examples. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：3379 / 3396

页数：18

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