Lattice Boltzmann method for variable viscous fluid flow on spherical surface

We propose an efficient numerical method for an incompressible fluid flow with variable viscosity on spherical surface. The proposed computational scheme is based on a finite volume lattice Boltzmann method (FVLBM). The spherical surface is triangulated and each point on the triangular mesh is assigned to one of two values of variable viscosity. Simplified coastlines using interpolation makes our proposed method highly efficient for solving fluid flows. Using the proposed algorithm, we simulate various fluid flows over inhomogeneous domains, i.e., land and sea areas. We apply different viscosity values for each domain using different relaxation times based on position of node points. Moreover, the progression of the storm is examined to demonstrate the effectiveness of the proposed approach.