scholarly journals Multirate Technique for Explicit Discontinuous Galerkin Computations of Time-Domain Maxwell Equations on Complex Geometries

2016 ◽  
Vol 52 (3) ◽  
pp. 1-4 ◽  
Author(s):  
A. Kameni ◽  
B. Seny ◽  
L. Pichon
Keyword(s):  
Discontinuous Galerkin ◽  
Time Domain ◽  
Maxwell Equations ◽  
Complex Geometries

A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell’s Equations on Curved Mesh

2015 ◽  
Vol 8 (1) ◽  
pp. 104-116
Author(s):  
Hongqiang Lu ◽  
Yida Xu ◽  
Yukun Gao ◽  
Wanglong Qin ◽  
Qiang Sun
Keyword(s):  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Time Domain ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Mesh Size ◽  
High Order ◽  
Solid Boundary ◽  
Complex Geometries ◽  
Two Dimensional

AbstractIn this paper, a DG (Discontinuous Galerkin) method which has been widely employed in CFD (Computational Fluid Dynamics) is used to solve the two-dimensional time-domain Maxwell’s equations for complex geometries on unstructured mesh. The element interfaces on solid boundary are treated in both curved way and straight way. Numerical tests are performed for both benchmark problems and complex cases with varying orders on a series of grids, where the high-order convergence in accuracy can be observed. Both the curved and the straight solid boundary implementation can give accurate RCS (Radar Cross-Section) results with sufficiently small mesh size, but the curved solid boundary implementation can significantly improve the accuracy when using relatively large mesh size. More importantly, this CFD-based high-order DG method for the Maxwell’s equations is very suitable for complex geometries.

scholarly journals Numerical simulation of electromagnetic radiation using high-order discontinuous galerkin time domain method

2019 ◽  
Vol 9 (2) ◽  
pp. 1267
Author(s):  
Pranowo Pranowo ◽  
Djoko Budiyanto Setyohadi
Keyword(s):  
Electromagnetic Radiation ◽  
Discontinuous Galerkin ◽  
Time Domain ◽  
Fdtd Method ◽  
High Order ◽  
Time Domain Method ◽  
Wave Radiation ◽  
Complex Geometries ◽  
Central Difference ◽  
Domain Method

<span>In this paper, we propose the simulation of 2-dimensional electromagnetic wave radiation using high-order discontinuous Galerkin time domain method to solve Maxwell's equations. The domains are discretized into unstructured straight-sided triangle elements that allow enhanced flexibility when dealing with complex geometries. The electric and magnetic fields are expanded into a high-order polynomial spectral approximation over each triangle element. The field conservation between the elements is enforced using central difference flux calculation at element interfaces. Perfectly matched layer (PML) boundary condition is used to absorb the waves that leave the domain. The comparison of numerical calculations is performed by the graphical displays and numerical data of radiation phenomenon and presented particularly with the results of the FDTD method. Finally, our simulations show that the proposed method can handle simulation of electromagnetic radiation with complex geometries easily.</span>

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