A parallel non-conforming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:270

Article; Proceedings Paper

Leger, Raphael²  Viquerat, Jonathan²  Durochat, Clement²  Scheid, Claire^1,2  Lanteri, Stephane² 

[1] Univ Nice Sophia Antipolis, JA Dieudonne Math Lab, UMR CNRS 7351, F-06108 Nice 02, France

[2] INRIA Sophia Antipolis Mediterranee Res Ctr, Nachos Project Team, F-06902 Sophia Antipolis, France

关键词: Maxwell equations;    Dispersive media;    Discontinuous Galerkin method;    Non-conforming multi-element mesh;    Parallel computing;   

DOI  :  10.1016/j.cam.2013.12.042

来源: Elsevier

【 摘 要 】

The present work is about the development of a parallel non-conforming multi-element discontinuous Galerkin time-domain (DGTD) method for the simulation of the scattering of electromagnetic waves by metallic nanoparticles. Such nanoparticles most often have curvilinear shapes, therefore we propose a numerical modeling strategy which combines the use of an unstructured tetrahedral mesh for the discretization of the scattering structures with a structured (uniform cartesian) mesh for treating efficiently the rest of the domain. The overall goal is to increase the flexibility in the meshing process while decreasing the needs in computational resources for the target applications. The latter are here modeled by the system of 3D time-domain Maxwell equations coupled to a Drude dispersion model for taking into account the material properties of nanoparticles at optical frequencies. We propose an auxiliary differential equation (ADE) based DGTD method for solving the resulting system and present numerical results demonstrating the benefits of using non-conforming multi-element meshes in this particular application context. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free