Eulerian–Lagrangian grid coupling and penalty methods for the simulation of multiphase flows interacting with complex objects

Abstract

Abstract Our purpose is to develop an efficient coupling between incompressible multiphase flows and fixed or moving obstacles of complex shape. The flow is solved on a fixed Cartesian grid and the solid objects are represented by surface elements. Our strategy is based on two main originalities: the generation and management of the objects are ensured by computer graphics software and front‐tracking methods, while the coupling between the flow and the obstacle grids is ensured by a fictitious domain approach and new high‐order penalty techniques. Several validation problems are presented to demonstrate the interest and accuracy of the method. Copyright © 2007 John Wiley & Sons, Ltd.