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Eulerian–Lagrangian grid coupling and penalty methods for the simulation of multiphase flows interacting with complex objects
Author(s) -
Sarthou A.,
Vincent S.,
Caltagirone J. P.,
Angot Ph.
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1661
Subject(s) - grid , coupling (piping) , mesh generation , computer science , eulerian path , flow (mathematics) , regular grid , computational science , penalty method , cartesian coordinate system , multiphase flow , mathematical optimization , computer graphics , mathematics , geometry , lagrangian , mechanics , computer graphics (images) , mechanical engineering , engineering , finite element method , physics , structural engineering
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.