Lattice Boltzmann method for fluid flow around bodies using volume penalization

Abstract

This paper deals with the implementation of a volume penalization technique in a lattice Boltzmann model, in order to compute flows around obstacles. The penalization term was introduced into the lattice Boltzmann equation via a forcing term. This approach was applied to the one dimensional Burgers equation for motionless and moving obstacles (forced motion, and coupling between the fluid force calculated with the penalized Burgers equation and the motion of the obstacle), and to the two dimensional Navier-Stokes equation, for motionless obstacles (flows over a square obstacle, and past a circular cylinder). A good agreement with numerical results obtained with other techniques, and with results found in literature was obtained.