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.

中文翻译：

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球面上可变粘性流体流动的格子玻尔兹曼方法


我们提出了一种有效的数值方法，用于球面上具有可变粘度的不可压缩流体流动。所提出的计算方案基于有限体积格子玻尔兹曼方法（FVLBM）。球面被三角化，三角网格上的每个点都被分配给两个可变粘度值之一。使用插值法简化海岸线使我们提出的方法能够高效地求解流体流动。使用所提出的算法，我们模拟了非均匀域（即陆地和海洋区域）上的各种流体流动。我们根据节点位置使用不同的松弛时间为每个域应用不同的粘度值。此外，还对风暴的进展进行了检查，以证明所提出方法的有效性。