A parallel non-conforming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles
A parallel non-conforming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles
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DOI：
10.1016/j.cam.2013.12.042
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发表时间：
2014-11
期刊：
影响因子：
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通讯作者：
Raphaël Léger;J. Viquerat;Clément Durochat;C. Scheid;S. Lanteri
中科院分区：
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作者：
Raphaël Léger;J. Viquerat;Clément Durochat;C. Scheid;S. Lanteri
提出了一种并行非协调多单元间断Galerkin时域（DGTD）方法，用于模拟金属纳米颗粒对电磁波的散射。这样的纳米粒子通常具有曲线形状，因此，我们提出了一种数值建模策略，该策略结合了使用非结构化四面体网格的离散化的散射结构与结构化（均匀的carbohydrate）网格有效地处理域的其余部分。总体目标是增加网格划分过程的灵活性，同时减少目标应用程序对计算资源的需求。后者在这里建模的三维时域麦克斯韦方程耦合到德鲁德色散模型的系统，考虑到在光频率的纳米粒子的材料特性。我们提出了一个辅助微分方程（ADE）为基础的DGTD方法解决所产生的系统和目前的数值结果表明，在这个特定的应用背景下，使用非协调多元素网格的好处。
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.