Entropic Lattice Boltzmann method on non-uniform grids

The entropic lattice Boltzmann method (ELBM) has recently been shown to be capable of simulating incompressible flows with good accuracy and enhanced stability. However, the method requires that uniform grids be used, which makes it prohibitively expensive for simulating large Reynolds number flows. In this paper, an interpolation scheme is proposed to extend the applicability of this method to arbitrary non-uniform meshes, while retaining the salient features of ELBM such as stability and computational efficiency. The new scheme is used to simulate flow in a lid driven cavity as well as flow past a square cylinder and is shown to largely reduce the grid requirements. The results of the simulation agree,very well with other numerical experimental data available in the literature.