The Sub-Mesh Penalty Method

Arthur Sarthou (1) , Stéphane Vincent (1) , Philippe Angot (2) , Jean-Paul Caltagirone (1, 3)

1 TREFLE - Transferts, écoulements, fluides, énergétique
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités
3 MASTER - Laboratoire Modélisation avancée des systèmes thermiques et écoulements réels

The Sub-Mesh Penalty (SMP) method, a new fictitious domain method of high order is presented. The final aim 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 Lagrangian surface elements. Several validation problems in 2D and 3D are presented to demonstrate the interest and accuracy of the method.

Mots clés: High-order penalty methods; fictitious domains; Eulerian/Lagrangian grid coupling; immersed boundary method

Domaines: Modélisation et simulation; Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Arthur Sarthou, Stéphane Vincent, Philippe Angot, Jean-Paul Caltagirone. The Sub-Mesh Penalty Method. 5th International Symposium on Finite Volumes for Complex Applications, Jun 2008, Aussois, France. pp.633. ⟨hal-00390080⟩