Lattice kinetic scheme for the incompressible viscous thermal flows on arbitrary meshes

Abstract

The development of lattice kinetic scheme for incompressible viscous thermal flows following the Taylor-series expansion- and least-square-based lattice Boltzmann method (TLLBM) on arbitrary meshes was described. The lattice kinetic scheme saved the computer memory when compared with lattice Boltzmann method. The boundary condition was implemented directly which was similar to coventional Navier-Stokes solvers. The lattice kinetic scheme used on arbitrary meshes was validated by numerical simulations of natural convention in square cavity.