Development of a hybrid grid-and particle-based numerical method for resolution of fine vortex structures in fluid mechanics

Abstract

The paper presents a novel hybrid approach developed to improve the resolution of concentrated vortices in computational fluid mechanics. The method is based on combination of a grid based and the grid free computational vortex (CVM) methods. The large scale flow structures are simulated on the grid whereas the concentrated structures are modeled using CVM. Due to this combination the advantages of both methods are strengthened whereas the disadvantages are diminished. The procedures of the separation of small concentrated vortices from the large scale vortices is based on LES filtering idea. The flow dynamics is governed by two coupled transport equations taking two way interaction between large and fine structures into account. The fine structures are mapped back to the grid represented large structures if their size grows due to diffusion. Algorithmic aspects of the hybrid method are discussed.