TY - JOUR
T1 - A fictitious domain formulation for flows with rigid particles
T2 - A non-Lagrange multiplier version
AU - Veeramani, C.
AU - Minev, P. D.
AU - Nandakumar, K.
N1 - Funding Information:
This study has been supported by Discovery Grants of the National Science and Engineering Research Council of Canada (NSERC).
PY - 2007/6/10
Y1 - 2007/6/10
N2 - In this paper, we present a development of the fictitious domain method proposed in Ref. [C. Diaz-Goano, P. Minev, K. Nandakumar, A fictitious domain/finite element method for particulate flows, J. Comput. Phys. 192 (2003) 105]. The main new feature of the modified method is that after a proper splitting, it avoids the need to use Lagrange multipliers for imposition of the rigid body motion and instead, it resolves the interaction force between the two phases explicitly. Then, the end-of-step fluid velocity is a solution of an integral equation. The most straightforward way to resolve it is via an iteration but a direct extrapolation is also possible. If the latter approach is applied then the fictitious domain formulation becomes fully explicit with respect to the rigid body constraint and therefore, the corresponding numerical procedure is much cheaper. Most of the numerical results presented in this article are obtained with such an explicit formulation.
AB - In this paper, we present a development of the fictitious domain method proposed in Ref. [C. Diaz-Goano, P. Minev, K. Nandakumar, A fictitious domain/finite element method for particulate flows, J. Comput. Phys. 192 (2003) 105]. The main new feature of the modified method is that after a proper splitting, it avoids the need to use Lagrange multipliers for imposition of the rigid body motion and instead, it resolves the interaction force between the two phases explicitly. Then, the end-of-step fluid velocity is a solution of an integral equation. The most straightforward way to resolve it is via an iteration but a direct extrapolation is also possible. If the latter approach is applied then the fictitious domain formulation becomes fully explicit with respect to the rigid body constraint and therefore, the corresponding numerical procedure is much cheaper. Most of the numerical results presented in this article are obtained with such an explicit formulation.
KW - Fictitious domain method
KW - Particulate flow
UR - http://www.scopus.com/inward/record.url?scp=34248581667&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2006.10.028
DO - 10.1016/j.jcp.2006.10.028
M3 - 文章
AN - SCOPUS:34248581667
SN - 0021-9991
VL - 224
SP - 867
EP - 879
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 2
ER -