In this work we provide a template-based approach for generating locally refined all-hex meshes. We focus specifically on refinement of initially structured grids utilizing a 2-refinement approach where uniformly refined hexes are subdivided into eight child elements. The refinement algorithm consists of identifying marked nodes that are used as the basis for a set of four simple refinement templates. The target application for 2-refinement is a parallel grid-based all-hex meshing tool for high performance computing in a distributed environment. The result is a parallel consistent locally refined mesh requiring minimal communication and where minimum mesh quality is greater than scaled Jacobian 0.4 prior to smoothing.
Owen, S. J., & Shih, R. M. (2015). A template-based approach for parallel hexahedral two-refinement. In Procedia Engineering (Vol. 124, pp. 31–43). Elsevier Ltd. https://doi.org/10.1016/j.proeng.2015.10.120