Efficient Non-Uniform Structured Mesh Generation Algorithm for Computational Electromagnetics

TL;DR

This paper introduces a fast, robust algorithm for generating non-uniform structured meshes tailored for electromagnetic simulations, addressing limitations of existing tetrahedral-focused tools and improving computational efficiency.

Contribution

The work presents a novel non-uniform structured mesh generation algorithm specifically designed for computational electromagnetics, enhancing speed, robustness, and adaptability over previous methods.

Findings

The proposed algorithm is computationally efficient.

Generated meshes show solid agreement with commercial grids.

The method demonstrates robustness on complex geometries.

Abstract

Despite the rapidly evolving field of computational electromagnetics, few open-source tools have managed to tackle the problem of automatic mesh generation for properly discretizing the problem of interest into a finite set of elements (cells). While several mesh generation algorithms have been established in the field of computational physics, the vast majority of such tools are targeted solely towards tetrahedral mesh formation, with the intended primary application being the finite element method. In this work, a computationally efficient non-uniform structured (rectilinear) mesh generation algorithm for electromagnetic simulations is presented. We examine the speed, performance and adaptability against previous work, and we evaluate its robustness against a complex geometry case with a commercially-generated grid. The mesh and simulation results produced using the generated grids of the proposed method are found to be in solid agreement.