Adaptive Polyhedral Mesh Generation Method for Compressible Flows

A method for generating a solution-adaptive mesh is proposed. It uses the adaptive mesh refinement (AMR) method and polyhedral mesh, which, as an unstructured mesh, is better suited for complicated bodies than triangular mesh. Furthermore, polyhedral mesh with hundreds of edges is more effective for generating adaptive mesh. Application of the AMR method to a test problem demonstrated that the adaptive mesh had a resolution about 30 times that of the initial mesh. Application of the proposed mesh generation method to compressible flows with a shock wave showed that using an artificial value for making the division judgment instead of the derivative value is feasible and highly effective.