Periodic Reporting for period 1 - AlgoHex (Algorithmic Hexahedral Mesh Generation)
Reporting period: 2020-02-01 to 2021-07-31
Our main goal is to develop algorithms for automatic hexahedral meshing of general volumetric domains that are (i) robust, (ii) scalable, and (iii) offer precise control on regularity, approximation error, and element sizing/anisotropy. Our approach is designed to replicate the success story of recent integer-grid map based algorithms for 2D quadrilateral meshing. The underlying methodology offers the essential global view on the problem that was lacking in previous attempts, mostly failing due to local considerations inducing global inconsistencies. Preliminary results of integer-grid map hexahedral meshing are encouraging and a breakthrough is in reach.