On level set modelling of bi-fluid capillary flow

摘要

We consider the adaptation of a level set (LS) method for the simulation of capillary flows on unstructured meshes. The advection step is first analysed. In order not to lose accuracy, this step should be one order more accurate than the discretization of the velocity. We then compare different ways in choosing the LS velocity and in re-initializing the LS function between advection phases without losing too much accuracy. Applications to Rayleigh flows and to reorientation with contact angle are presented.