Three-dimensional time-domain hybrid discontinuous Galerkin method plus electromagnetic source term processing method
An electromagnetic source and applied current technology, which is applied in design optimization/simulation, etc., can solve the problems of large leakage in the scattering field area and sparse grid sampling density, and achieve the goal of expanding the time step, reducing global unknowns, and strong applicability Effect
Active Publication Date: 2022-06-03
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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Problems solved by technology
For the time-domain discontinuous Galerkin method, the grid sampling density will be much sparser than that of the time-domain finite-difference method due to the smaller numerical dispersion error, resulting in larger leakage in the scattered field region when applying the total field-scattered field technique
It can be seen that there are different degrees of shortcomings in these commonly used ways of adding sources, especially the numerical methods themselves have their own advantages and disadvantages. For the optimization simulation of complex models, they can no longer meet the requirements of designers. Therefore, a stable and reliable numerical method is needed. Deal with the external electromagnetic source term, and then obtain the electromagnetic response characteristics of the electromagnetic problem
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[0121] Using the following metal composite sphere as a model, a point source is added to analyze the local source radiation problem of the active 3D hybrid time-domain discontinuous Galerkin numerical method.
[0122] figure 2 The model is a composite structure consisting of a perfectly conducting metal sphere and a perfectly conducting metal cylinder. The radius of the metal sphere is 1m, and the radius and height of the cylinder are 0.02m and 0.1m, respectively, and are placed at a distance of 0.1m from the surface of the metal sphere. At the center r of the gap between the metal ball and the cylinder s =(-1.05,0,0), a local radiation source with a frequency of f=300MHz, positive z direction is set In order to obtain high computational accuracy around a local radiation source, it is necessary to s Perform local mesh refinement around, such as figure 2 As shown, the densified mesh is marked with shaded cubes (square areas of flat shape). The computational area is a cu...
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The invention relates to a processing method for adding an electromagnetic source item to a three-dimensional time-domain hybridization discontinuous Galerkin method, which belongs to the technical field of three-dimensional time-domain electromagnetic numerical solution, and relates to a three-dimensional time-domain electromagnetics time-domain hybridization discontinuity aiming at the problem of adding an electromagnetic source item Galerkin numerical method. Based on the active Maxwell equation, the invention derives the structural form of the time-domain hybrid discontinuous Galerkin. In the source term, corresponding processing techniques are proposed for the applied current density and the applied magnetic current density, so that they can be applied to different boundary conditions for different problems. Compared with the existing passive time domain hybrid discontinuous Galerkin method, the improved active time domain hybrid discontinuous Galerkin method has stronger applicability. Compared with the traditional time-domain discontinuous Galerkin method, the present invention can have fewer global unknowns and remarkable calculation performance.
Description
technical field [0001] The invention belongs to the technical field of three-dimensional time-domain electromagnetic numerical solution. Aiming at the problem of adding an electromagnetic source term, a time-domain hybrid discontinuous Galerkin numerical method containing a source term is used to calculate the electromagnetic field. Background technique [0002] Maxwell's equations are the basic equations that describe the general laws of macroscopic electromagnetic phenomena. The analysis of various electromagnetic problems is ultimately the solution of Maxwell's equations under different boundary conditions and medium distribution. With the development of computer and computational mathematics, the numerical methods of computational electromagnetics have been developed rapidly, and the corresponding electromagnetic simulations have been widely used in microwave, antenna, new materials of anisotropic medium and other fields. [0003] The current electromagnetic numerical me...
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IPC IPC(8): G06F30/20
CPCY02E60/00
Inventor 徐立李星杨中海李斌
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA