Abstract
In this study, a voxel Cartesian grid method combined with cut cells has been developed for simulating two-dimensional unsteady, viscous, and incompressible flows with arbitrary boundaries. The volume of fluid (VOF) approach based on finite volume method (FVM) is employed to accurately discretize the governing equation in Cartesian cells that are cut by irregular boundaries. The Cartesian grid cells and their faces are managed using a volume computer aided design (V-CAD) data system but not additional grid generation. The precision of the solution in the cut cells is ensured by special discretizations near the embedded boundaries. The accuracy and robustness of the method developed are validated by simulating a number of canonical viscous flows, and the ability of this method to simulate flows with complex geometry boundaries is also demonstrated by some numerical examples. Overall, extensive practical applications of the numerical analysis method proposed in this study could be expected.
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