A Hybrid Grid DGTD Algorithm for Tetrahedral and Hexahedron Based on Virtual Element

Zhennan Xiao, B. Wei, Shitian Zhang, D. Ge, Qian Yang, Linqian Li
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引用次数: 1

Abstract

DGTD (Time Domain Discontinuous Galerkin) is a new time domain algorithm with broad application prospects in recent years. When dividing the computational domain, the tetrahedral mesh can fit the fine structure of the object, but for objects with larger geometrical dimensions, gets mass unknown and takes up too much resources. If use hexahedral mesh, a step error is generated at the fine structure. Therefore, this paper proposes a swap boundary method for tetrahedral and hexahedron elements. Different sub-domains are divided by different grid elements, and virtual elements exchange numerical fluxes on the swap boundary. The feasibility of this method is verified by the radiation example of electric dipole.
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基于虚拟元的四面体和六面体混合网格DGTD算法
DGTD (Time Domain Discontinuous Galerkin)是近年来发展起来的一种具有广泛应用前景的新型时域算法。在划分计算域时,四面体网格可以拟合物体的精细结构,但对于几何尺寸较大的物体,其质量未知且占用资源过多。如果采用六面体网格,则在精细结构处产生步进误差。因此,本文提出了四面体和六面体元素的交换边界方法。不同的网格元划分不同的子域,虚拟元在交换边界上交换数值通量。通过电偶极子辐射算例验证了该方法的可行性。
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