New efficient boundary conditions for incompressible Navier-Stokes equations: A well-posedness result

被引：91

作者：

Bruneau, CH

Fabrie, P

机构：

[1] Mathematiques Appl. de Bordeaux, Université Bordeaux 1

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1996年 / 30卷 / 07期

关键词：

D O I：

10.1051/m2an/1996300708151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Efficient natural conditions on open boundaries for incompressible flows are derived from a weak formulation of Navier-Stokes equations. Energy estimates in velocity-pressure are established from a mixed formulation and a rigourous proof of existence of solutions is given. As an illustration, the conditions are written down for the flow behind an obstacle in a channel. Moreover, numerical tests have shown the accuracy and robustness of such conditions.

引用

页码：815 / 840

页数：26

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