ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991):76D99; 76S05
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. 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 $L^2$ 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050401