Simulations of incompressible viscous thermal flows by Lattice Boltzmann method

Abstract

In this study, different thermal lattice Boltzmann models were developed to study the incompressible viscous thermal flows on the arbitrary mesh. Most of our research work is based on the internal energy density distribution function (IEDDF) thermal model. For the development of good thermal models, a new implementation of Neumann boundary condition was designed for the IEDDF thermal model; a simplified IEDDF thermal model for the incompressible thermal flows was proposed; a three-dimensional thermal model was presented; an axisymmetric thermal model was constructed for the axisymmetric thermal flows. In order to apply these thermal models on the arbitrary mesh, the finite volume LBM (FVLBM) technique and Taylor series expansion- and least squares- based LBM (TLLBM) technique were introduced into these thermal models. Numerical results showed that the use of TLLBM technique in thermal models was an effective way for the thermal applications with complex geometries.