A sharp cartesian method for the simulation of air-water interface

Lisl Weynans (1, 2) , Michel Bergmann (1, 2) , Francky Luddens (3)

1 IMB - Institut de Mathématiques de Bordeaux
2 MC2 - Modélisation, contrôle et calcul
3 LIMSI - Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur

We firstly present a sharp cartesian method for the simulation of incompressible flows with high density and viscosity ratios, like air-water interfaces. This method is inspired from the second-order cartesian method for elliptic problems with immersed interfaces developed in [1]. Then, because a high-order interface description is necessary in this context, we present a level-set technique allowing to maintain in the course of time a third-order accuracy of the level-set itself, and thus a first order accuracy of the curvature.

Mots clés: incompressible flows; air-water interface; level-set method; cartesian grid discretization; redistanciation

Domaines: Analyse numérique [math.NA]; Modélisation et simulation

Lisl Weynans, Michel Bergmann, Francky Luddens. A sharp cartesian method for the simulation of air-water interface. ICCFD8, Jul 2014, Chengdu, China. pp.1-9. ⟨hal-01024657⟩