Communication–Free Parallel Mesh Multiplication for Large Scale Simulations

Often unstructured grid methods, such as finite elements, are used in high fidelity simulations. In these methods, solution accuracy is associated to the interpolation order and to the grid size. Unstructured parallel mesh refinement is computationally expensive due to subdomains interface communication. In the present work we develop a uniform edge-based parallel tetrahedral mesh refinement scheme completely free of communication, fast, simple to implement and highly scalable. This is achieved by an index generation for subdomain interface grid points based on special pairing functions.