Fluid Structure Interaction modelling using Lattice Boltzmann and Volume Penalization method

Abstract

This paper proposes an approach combining the Volume Penalization (VP) and the the Lattice Boltzmann method (LBM) to compute fluid structure interaction involving rigid bodies. The method consists in adding a force term in the LBM formulation, and thus considers the rigid body similar to particular porous media. Using a characteristic function for the solid domain avoids the expensive tracking of the fluid-solid interface employed commonly in LBM to treat FSI problems. The method is applied to three FSI problems and solved using a Graphics Processor Units (GPU) device. The applications focus on the capacity of the method to compute the drag and lift coefficients for various cases : the imposed displacement of a cylinder, the particle sedimentation at a very low Reynolds number and the VIV of a cylinder in a transverse fluid flow. For all cases the VP-LBM approach yields results which are in a good agreement with those of literature.