Abstract
The conventional lattice Boltzmann method is restricted to Cartesian grids, making it remarkably expensive for capturing thin boundary layers, and therefore impractical for most relevant problems in aerodynamics. In this paper, a finite difference approach is taken to solve the discrete-velocity Boltzmann equation in generalised curvilinear coordinates to perform fluid flow simulations with non-uniform grids. The present method resolves large gradients in wall vicinity with fewer mesh elements, thereby leading to a reduction in computational effort. Two-dimensional flows at low Reynolds number over circular cylinder and NACA0012 aerofoil are specifically investigated to assess accuracy and performance of the proposed approach.
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