Multi-purpose regridding in vortex methods

Abstract

This paper is concerned by regridding strategies for accurate vortex calculations. We first demonstrate on several test cases of two and three dimensional, inviscid as well as viscous flows, that, when based on high order interpolation formulas, these technics do allow to maintain accuracy for long time simulations. We then show that, by alternating regridding on several non-conforming grids, one can easily design particle-based domain decomposition algorithms. This is illustrated by the example of a flow past two cylinders.