An approximate method for solving incompressible Navier-Stokes problems with flow rate conditions

被引：35

作者：

Veneziani, Alessandro ^{[1
]}

Vergara, Christian ^{[1
]}

机构：

[1] Politecn Milan, Dept Math, I-20133 Milan, Italy

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2007年 / 196卷 / 9-12期

关键词：

incompressible fluids; flow rate boundary conditions; Lagrange multipliers;

D O I：

10.1016/j.cma.2006.09.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the incompressible Navier-Stokes problem with flow rate boundary conditions. This problem has been investigated in [J. Heywood, R. Rannacher, S. Turek, Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations, Int. J. Numer. Methods Fluids 22 (1996) 325-352; L. Formaggia, J. F. Gerbeau, F. Nobile, A. Quarteroni, Numerical treatment of defective boundary conditions for the Navier-Stokes equation, SIAM J. Numer. Anal. 40(1) (2002) 376-401 A. Veneziani, C. Vergara, Flow rate defective boundary conditions in haemodynamics simulations, Int. J. Numer. Methods Fluids 47 (2005) 803-816]. In the latter two papers, a feasible numerical formulation of this problem, based on a Lagrange multiplier approach has been investigated. This approach has the drawback of high computational costs. In this paper, we propose an approximate formulation of this problem, yielding a strong reduction of the computational costs. The error analysis shows that the error introduced by this approximate formulation is confined in a small region of the boundary. This is confirmed by the numerical simulations. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：1685 / 1700

页数：16

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