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

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 three-dimensional (3D) shifted lattice model is proposed, therefore a shifted lattice model is introduced into 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 indeed improved after adding the shifted lattice model.