Automated high-order curved mesh generator with high-level dynamic programming language julia for photonic applications

Abstract

A powerful automated high-order unstructured curved mesh generator is proposed in this work with a high-level dynamic programming language Julia. This generator uses higher-order one-sided curved triangular finite elements for the domains having curved borders with parabolic arcs. The proposed approach of the mesh generator can be successfully applied for solving several industrial problems inclusive of photonics with the finite element method. The use of the parabolic arcs method to obtain node relations for the curved geometry enhances the performance of the technique with the subparametric mappings. The mesh generator suggested is based on the prominent Gmsh mesh generator. For all geometry, the presented technique can be implemented. The methodology is applied in this paper to illustrate a few photonic crystal domains.