A Vortex Method for Bi-phasic Fluids Interacting with Rigid Bodies

Mathieu Coquerelle (1) , Jérémie Allard (2) , Georges-Henri Cottet (3) , Marie-Paule Cani (1)

1 EVASION - Virtual environments for animation and image synthesis of natural objects
2 LIG - Laboratoire d'Informatique de Grenoble
3 LMC - IMAG - Laboratoire de Modélisation et Calcul

We present an accurate Lagrangian method based on vortex particles, level-sets, and immersed boundary methods, for animating the interplay between two fluids and rigid solids. We show that a vortex method is a good choice for simulating bi-phase flow, such as liquid and gas, with a good level of realism. Vortex particles are localized at the interfaces between the two fluids and within the regions of high turbulence. We gain local precision and efficiency from the stable advection permitted by the vorticity formulation. Moreover, our numerical method straightforwardly solves the two-way coupling problem between the fluids and animated rigid solids. This new approach is validated through numerical comparisons with reference experiments from the computational fluid community. We also show that the visually appealing results obtained in the CG community can be reproduced with increased efficiency and an easier implementation.

Mots clés: Fluid simulation; bi-phase flow; fluid-solid interactions; vortex methods; level set methods

Domaines: Analyse numérique [math.NA]; Synthèse d'image et réalité virtuelle [cs.GR]

Mathieu Coquerelle, Jérémie Allard, Georges-Henri Cottet, Marie-Paule Cani. A Vortex Method for Bi-phasic Fluids Interacting with Rigid Bodies. 2006. ⟨hal-00087126⟩