A penalization method to take into account obstacles in incompressible viscous flows
A penalization method to take into account obstacles in incompressible viscous flows
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DOI：
10.1007/s002110050401
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发表时间：
1999-02-01
影响因子：
2.1
通讯作者：
Fabrie, P
中科院分区：
文献类型：
--
作者：
Angot, P;Bruneau, CH;Fabrie, P
从Navier-Stokes/Brinkman模型出发，一些作者导出了一种惩罚方法来计算围绕障碍物的不可压缩Navier-Stokes方程。本文给出了两类惩罚的收敛定理和误差估计。第一个对应于L-2惩罚，在实体中引出Darcy方程；第二个对应于H-1惩罚，在实体中引出Brinkman方程。数值试验验证了该方法的有效性和准确性。数学学科分类（1991）：76D99；76 s05。
From the Navier-Stokes/Brinkman model, a penalization method has been derived by several authors to compute incompressible Navier-Stokes equations around obstacles. In this paper, convergence theorems and error estimates are derived for two kinds of penalization. The first one corresponds to a L-2 penalization inducing a Darcy equation in the solid body, the second one corresponds to a H-1 penalization and induces a Brinkman equation in the body. Numerical tests are performed to confirm the efficiency and accuracy of the method. Mathematics Subject Classification (1991): 76D99; 76S05.