Application of shifted lattice model to 3D compressible lattice Boltzmann method

Abstract

In this paper, an additional potential energy distribution function is introduced on the basis of previous D3Q25 model, and the equilibrium distribution function of D3Q25 is obtained by spherical function. A novel 3D shifted lattice model is proposed, based on this finding, the shifted lattice model is introduced to D3Q25. Under the finite volume scheme, several typical compressible calculation examples are used to verify whether the numerical stability of the D3Q25 model can be improved by adding the shifted lattice model. The simulation results show that the numerical stability is improved by adding the shifted lattice model.