Application of a Residual Distribution methodology to the lattice Boltzmann method

摘要

This investigation focuses on the application of the finite volume method through the residual distribution philosophy for the calculation of two-dimensional laminar flows following the lattice Boltzman model(LBM). The D2Q9 model is used for the discretization of the velocity space, while triangular or quadrilateral meshes are applied for the spatial discretization. The intrinsic nature of the residual distribution offers a unifying way of handling quadrilateral and triangular grids with boundary values for the density probability automatically provided by the method. The Lax- Wendroff scheme has been selected as the mechanism to conduct the nodal distribution, and basic simulations for steady flows at low Reynolds number have been carried out. Wiggles found when applying a classical finite volume methodology on a Cartesian mesh have been eliminated. The driven cavity and backward facing laminar flow problems have been studied.