Direct simulation of the motion of neutrally buoyant circular cylinders in plane Poiseuille flow
Journal of Computational Physics
A fictitious domain/finite element method for particulate flows
Journal of Computational Physics
A fast computation technique for the direct numerical simulation of rigid particulate flows
Journal of Computational Physics
A fictitious domain method for particle sedimentation
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
A direct-forcing fictitious domain method for particulate flows
Journal of Computational Physics
Journal of Computational Physics
International Journal of Computational Fluid Dynamics
A Fictitious Domain, parallel numerical method for rigid particulate flows
Journal of Computational Physics
Journal of Computational Physics
A fictitious domain approach for the simulation of dense suspensions
Journal of Computational Physics
Particulate flows with the subspace projection method
Journal of Computational Physics
Hi-index | 31.48 |
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.