Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method

TLDR

The study presents direct numerical simulation techniques for particulate flow using the fictitious boundary method. The approach employs a multigrid finite element solver, allowing particles of arbitrary shape, size, and number to move freely through a mesh independent of the particles, with hydrodynamic forces computed via an explicit volume‑based FBM and particle interactions handled by a Glowinski–Joseph–Singh collision model. Numerical tests demonstrate that the method efficiently simulates particulate flows containing many particles. © 2005 John Wiley & Sons, Ltd.

Abstract

Abstract Direct numerical simulation techniques for particulate flow by the fictitious boundary method (FBM) are presented. The flow is computed by a multigrid finite element solver and the solid particles are allowed to move freely through the computational mesh which can be chosen independently from the particles of arbitrary shape, size and number. The interaction between the fluid and the particles is taken into account by the FBM in which an explicit volume based calculation for the hydrodynamic forces is integrated. A new collision model based on papers by Glowinski, Joseph, Singh and coauthors is examined to handle particle–particle and particle–wall interactions. Numerical tests show that the present method provides a very efficient approach to directly simulate particulate flows with many particles. Copyright © 2005 John Wiley & Sons, Ltd.