Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes

TL;DR

This paper extends the Yee method for electrodynamic simulations to unstructured triangular meshes, detailing the entire process from mesh creation to simulation, with a focus on parallel implementation and stability analysis.

Contribution

It introduces a generalized Yee approach for unstructured meshes, enabling parallel computation and analyzing stability impacts of mesh irregularities.

Findings

The method is parallelizable for distributed systems.

Non-regular triangulation affects stability and dispersion.

The approach is applicable to large-scale electrodynamic simulations.

Abstract

We present a generalization of standard Yee approach for Cauchy problem in electrodynamic simulations on unstructured triangulated mesh. In the paper the whole flow from mesh creation to actual simulation is presented. The proposed computation flow is parallel ready and can be implemented for distributed systems (computation servers, GPU-s, etc.). We studied the influence of non-regular triangulation on stability and dispersion properties of numerical solution.