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
收藏
页码：815 / 840
页数：26
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