Two-dimensional finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids

摘要

Based on Sirovich's two-fluid kinetic theory and a dodecagonal discretevelocity model, a two-dimensional 61-velocity finite-difference latticeBoltzmann method for the complete Navier-Stokes equations of binary fluids isformulated. Previous constraints, in most existing lattice Boltzmann methods,on the studied systems, like isothermal and nearly incompressible, are releasedwithin the present method. This method is designed to simulate compressible andthermal binary fluid mixtures. The validity of the proposed method is verifiedby investigating (i) the Couette flow and (ii) the uniform relaxation processof the two components.