Victor E. Ambrus, Victor Sofonea




The Gauss-Laguerre quadrature method is used to construct three-dimensional thermal Lattice Boltzmann models that exactly recover integrals of the equilibrium distribution function over Cartesian octants of the momentum space. We illustrate the capability of these models to exactly implement the diffuse reflection boundary conditions by considering the Couette flow at various values of the Knudsen number.