A numerical study of a vortex ring impacting a permeable wall

We numerically simulate a vortex ring impacting a permeable wall by using a lattice Boltzmann method. The study is on vortex ring/permeable wall interaction and to address some of the unanswered questions, including core vorticity, kinetic energy and enstrophy of the flow field. The simulation was conducted for a range of parameters such as wall open-area ratios, structure dimensions, wall-thicknesses ( and Reynolds numbers. Results show that with increasing $\phi$ or $Re_\Gamma$ enhances vorticity transport across the permeable wall, leading to the formation of a regenerated vortex ring, whilst increasing $H$ impedes vorticity transportation and the formation of regenerated vortex ring. Moreover, higher $A$ promotes vortex shedding from the wire grids and generates fine-scale structures in the wake.