A Lagrangian Redistribution Model toward the Construction of a Turbulence Model for Vortex Methods

In this study, a new grid-less type redistribution model is proposed to simulate high Reynolds number flow, in which vortex elements are split into some elements according to the scale of the elements. In order to investigate the validity of the model, the model was applied to an inclined collision of two vortex rings. Energy spectra were compared with existing DNS data and experimental results. Furthermore, different scales of vortex elements were introduced in order to examine the effect of initial size of the vortex elements on the flow patterns and energy spectra. The results show the energy spectra and the dissipation process have been reasonably simulated with the redistribution model. Under the condition that smaller-scale initial vortex elements were introduced, the energy spectra were simulated to higher wave number region.