The interaction of solid particles in an incompressible viscous fluid is modeled through direct numerical simulation on unstructured finite elements using a Lagrange multipliers/fictitious domain technique. The particle's velocity and the Lagrange multipliers are expanded over the same basis functions as the fluid field avoiding in this way the need of a body fitted mesh and reducing significantly the computational costs. A new numerical algorithm to solve the particulate flow equations is presented and some implementation issues, such as the parallelization of the Hnear solver are discussed. Numerical and experimental results are compared. Speedups of the parallel code are also presented.
|Title of host publication||Computational Fluid and Solid Mechanics 2003|
|Number of pages||5|
|State||Published - 2 Jun 2003|
- Finite element methods
- Lagrange multipliers
- Multiphase flow