A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media. (8th March 2017)

• Record Type: Journal Article
• Authors: Yang, Jun; Cai, Wei; Wu, Xiaoping
• Is Part Of: Communications in computational physics. Volume 21:Number 4(2017:Apr.)
• Page Start: 1065
• Page End: 1089
• Publication Date: 2017-03-08
• Subjects: 65N30, -- 65F35, -- 65F15; Maxwell's equations, -- time domain, -- discontinuous Galerkin method, -- orthonormal polynomial basis functions, -- tetrahedral elements, -- UPML, -- parallelization; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0089
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: We present a high-order discontinuous Galerkin (DG) method for the time domain Maxwell's equations in three-dimensional heterogeneous media. New hierarchical orthonormal basis functions on unstructured tetrahedral meshes are used for spatial discretization while Runge-Kutta methods for time discretization. A uniaxial perfectly matched layer (UPML) is employed to terminate the computational domain. Exponential convergence with respect to the order of the basis functions is observed and large parallel speedup is obtained for a plane-wave scattering model. The rapid decay of the out-going wave in the UPML is shown in a dipole radiation simulation. Moreover, the low frequency electromagnetic fields excited by a horizontal electric dipole (HED) and a vertical magnetic dipole (VMD) over a layered conductive half-space and a high frequency ground penetrating radar (GPR) detection for an underground structure are investigated, showing the high accuracy and broadband simulation capability of the proposed method.