Implicit Interpolation Method for Non-conforming Meshes of Three-dimensional Flow
Non-conforming meshes are often used to deal with moving boundaries and local mesh refinement.The key is to ensure numerical continuity between non-conforming subdomains.Previous studies have proposed an implicit interpolation method to model the two-dimensional fluid non-conforming meshes problem,but it needs to be further extended to the three-dimensional problem.Therefore,an efficient 3D fluid non-conforming grid implicit interpolation method is proposed.By applying the Dirichlet condition to the unknowns in the algebraic equations and the Neumann condition to the system matrix and the right-hand term,the coupling of the non-conforming subdomain is embedded in the algebraic equation.The proposed three-dimensional implicit interpolation method is used to simulate the three-dimensional Poiseuille flow and the three-dimensional lid-driven cavity flow to verify the accuracy and efficiency of the method.Finally the general applicability for solving the three-dimensional non-conforming meshes problem is proved by the simulation of flow past a three-dimensional triangular prism.
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