812 Geometry Processing and Field-Aligned Mesh Generation for Computational Science and Engineering Applications

Daniele Panozzo, New York University
Leif Kobbelt, RWTH Aachen University
Denis Zorin, New York University
The conversion of BREP to simulation-ready (shell or solid) meshes has been a major focus in the research area of Geometry Processing in the last two decades. This mini-symposium will introduce the techniques developed in this area to the mechanical engineering community, focussing on methods that are directly usable in Computational Science and Engineering applications.

The mini-symposium will cover efficient and automatic surface and volumetric mesh generation, with a particular emphasis on quality, robustness and scalability issues. It will cover a range of techniques, adapted to different applications of meshes, with particular emphasis on field-aligned methods methods for which a lot of progress was made in the geometry processing community. These methods use a guiding orientation field for quad or hex mesh edges, which can capture features and preferred directions of the underlying surface and user constraints, improving both the accuracy of the approximation of the underlying shape and the solution of the discretized PDE.

These novel meshing approaches provide major benefits over previous techniques in terms of controlling mesh orientation, regularity and integrating user-defined constraints through the field. These methods lead to a robust, fully automatic, end-to-end geometry (pre-) processing pipeline that can directly feed a PDE solver on the surface or in the interior of BREP.
The spectrum of methods presented at the minisymposium varies from highly efficient and scalable techniques for hybrid meshes to more computationally demanding methods for pure quad and hex meshing.

The mini-symposium will conclude with a panel discussion on the open challenges in integrating these techniques to existing commercial simulation software and listing avenues for future work that are of direct interest to mechanical engineering applications.