Dynamical selective ltering for the Lattice Boltzmann Method

Abstract

In this study, a new selective ltering technique is proposed for the Lattice Boltzmann Method. This technique is based on dynamical implementation of the selective filter coefficient . The proposed model makes the latter coe cient dependent on the shear stress in order to restrict the use of the spatial ltering technique in the sheared stress region where numerical instabilities may occur. Di erent parameters are tested on a 3D decaying Taylor Green Vortex and compared to the classical static ltering technique and to the use of a standard subgrid-scale model.