Abstract

This work develops an approach for numerical simulation of fluid flow through a domain with a complex geometry. We consider a finite element discretization of the Stokes--Brinkman equation for modelling the incompressible viscous flow inside a fluid-solid systems combined with Lagrange multiplier/fictitious domain and special spherical bubble functions. Well-posedness of the new method, a priori estimates, and convergence results are established. Results of numerical experiments are presented and compared to the other methods.

Keywords

  1. Navier--Stokes
  2. Brinkman
  3. viscous flow
  4. porous media flow
  5. fictitious domain

MSC codes

  1. 76D07
  2. 76S99
  3. 65M85

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Information & Authors

Information

Published In

cover image SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis
Pages: 2874 - 2886
ISSN (online): 1095-7170

History

Submitted: 15 October 2012
Accepted: 19 August 2013
Published online: 22 October 2013

Keywords

  1. Navier--Stokes
  2. Brinkman
  3. viscous flow
  4. porous media flow
  5. fictitious domain

MSC codes

  1. 76D07
  2. 76S99
  3. 65M85

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