Discontinuous Galerkin Time-Domain Method in Electromagnetics: From Nanostructure Simulations to Multiphysics Implementations

Ming Dong, Liang Chen, Ping Li, Lijun Jiang, Hakan Bagci

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

In the past few decades, the discontinuous Galerkin time-domain (DGTD) method has become widely popular in various fields of engineering because of the fact that it benefits from computational advantages that come with finite volume and finite element formulations. Similarly, in the field of computational electromagnetics, the superiority of the DGTD method has been quickly recognized after the first few works on its formulation and implementation to solve Maxwell equations. With further developments in more recent years, the DGTD method has become one of the preeminent solutions to tackle a wide variety of challenging large-scale electromagnetic problems including those that require multi-physics modeling.This chapter starts with a brief introduction to the DGTD method. This introduction provides the fundamentals of numerical flux, discretization techniques that rely on vector and nodal basis functions, and incorporation of absorbing boundary conditions. This is followed by descriptions of a time-domain boundary integral (TDBI) scheme, which replaces absorbing boundary conditions within the DGTD method, and a multi-step time integration technique, which uses different time step sizes for the DGTD and TDBI parts. Numerical results show that both techniques significantly improve the efficiency, accuracy, and stability of the traditional DGTD method. Then, the chapter continues with the applications of the DGTD method to several real-life practical problems. More specifically, it describes various novel techniques developed to enable the application of the DGTD method to electromagnetic analysis of nanostructures and graphene-based devices and multi-physics simulation of optoelectronic antennas and source generators. For each application, several numerical examples are provided to demonstrate the accuracy, efficiency, and robustness of the developed techniques.
Original languageEnglish (US)
Title of host publicationAdvances in Time‐Domain Computational Electromagnetic Methods
PublisherIEEE
Pages135-198
Number of pages64
ISBN (Print)9781119808381
DOIs
StatePublished - Nov 18 2022

Bibliographical note

KAUST Repository Item: Exported on 2022-11-29

Fingerprint

Dive into the research topics of 'Discontinuous Galerkin Time-Domain Method in Electromagnetics: From Nanostructure Simulations to Multiphysics Implementations'. Together they form a unique fingerprint.

Cite this