Efficiency of Multiscale Hybrid Grid-Particle Vortex Methods

Mustapha El Ossmani , Philippe Poncet (1)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

This article presents a study of computational cost for the vortex method, a La-grangian numerical scheme using particles of fluids for simulation of three-dimensional flows. Its main features are to compute accurately transport effects and to be very robust, that is to say, often without prohibitive stability condition. Special attention is given to hybrid grid-particle vortex methods. They are shown to scale as O(n log n), even when used in a multiscale context. Furthermore, a discussion is provided on the best strategies for simulations in complex geometry. Computational cost is shown to have the same efficiency when performing multiscale simulations of three-dimensional flows in complex geometry.

Mots clés: vortex methods; particle methods; three-dimensional flows; Navier-Stokes equa-tions; multiscale simulation; wakes; penalization

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]; Modélisation et simulation

Mustapha El Ossmani, Philippe Poncet. Efficiency of Multiscale Hybrid Grid-Particle Vortex Methods. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2010, 8 (5), pp.1671-1690. ⟨10.1137/090765006⟩. ⟨hal-02010647⟩