Vorticity Particle Method for Simulation of 3D Flow

Abstract

Abstract. The vortex-in-cell method for three-dimensional, viscous flow was presented. A viscous splitting algorithm was used. Initially the Euler inviscid equation was solved. Following that, the viscous effect was taken into account by the solution of the diffusion equation. The diffusion equation was then solved by the particle strength exchange (PSE) method. Validation of the method was tested by simulation of the leapfrogging phenomenon for two vortex rings moving along a common axis of symmetry and the reconnection phenomenon of two colliding vortex rings for viscous flow.

Vortex particle method in parallel computations on graphical processing units used in study of the evolution of vortex structures

“…We think that this is due to the fact that vortex ring cores are diffused during the movement and the interaction between them is too weak to move them apart. Cases 4.1 and 4.2 show that the obtained results are comparable with numerical results obtained by other numerical simulations (Kudela and Regucki 2004) and laboratory experiments (Lim 1997).…”