A three-dimensional hybrid time-domain discontinuous Galerkin numerical method for time-domain electromagnetism

A time-domain electromagnetic and numerical method technology, applied in electrical digital data processing, complex mathematical operations, special data processing applications, etc., can solve the repetition of unknowns, the inability to satisfy low-order basis functions, and increase the number and matrix of global unknowns Solve problems, etc.

Active Publication Date: 2019-01-11
UNIV OF ELECTRONIC SCI & TECH OF CHINA
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Problems solved by technology

And this condition leads to its fatal shortcoming: the unknowns on the element interface are repeated, resulting in significantly more global unknowns required to obtain the same accuracy than the classical time-domain finite element method
[0005] However, as mentioned above, how to solve the global matrix quickly and efficiently is still a big difficulty in the implicit time iteration format
And with the complexity of the analysis structure, the accuracy of the low-order bas

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  • A three-dimensional hybrid time-domain discontinuous Galerkin numerical method for time-domain electromagnetism
  • A three-dimensional hybrid time-domain discontinuous Galerkin numerical method for time-domain electromagnetism
  • A three-dimensional hybrid time-domain discontinuous Galerkin numerical method for time-domain electromagnetism

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[0045] The present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments.

[0046] refer to figure 1 , a numerical method for reducing the order of the input-output window model of a three-dimensional microwave tube based on function approximation adaptive error analysis, including the following steps:

[0047] Step A. Combining the target electronic device structure with material properties for simulation modeling;

[0048] According to the physical structure of the target electronic device, its simulation modeling is combined with the working environment and boundary conditions.

[0049] Step B. using a tetrahedral grid to discretize the solution domain;

[0050] Using tetrahedral elements to subdivide the three-dimensional solution area is a well-known process, so this step will not be described in detail. It should be noted that surface discretization and volume discretization must be compatible. Computationa...

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Abstract

The invention belongs to the technical field of three-dimensional time-domain electromagnetics numerical solution, and relates to a three-dimensional time-domain electromagnetics hybrid time-domain discontinuous Galerkin numerical method based on a high-order stack basis function. The method introduces the hybrid discontinuous Galerkin method in the frequency domain into the time domain and formsa fully discrete form in a simpler way to improve the computational performance. High-order interpolation stack basis functions are constructed to obtain high-precision numerical simulation results, and then p-type multigrid preprocessing is constructed to accelerate the solution of global linear matrix, so as to improve the computational performance. When the invention solves the unstructured local refinement mesh, the computational performance is improved on the premise of ensuring the high-order precision.

Description

technical field [0001] The invention belongs to the technical field of numerical solution of three-dimensional time-domain electromagnetics, and relates to a three-dimensional time-domain electromagnetics hybrid time-domain discontinuous Galerkin numerical method, which is based on high-order stacked basis functions. Background technique [0002] In a complex time-domain electromagnetic environment, it is often necessary to solve the transient electromagnetic field of multi-scale equipment. These multi-scale devices contain various unstructured grids, including fine grids whose size is much smaller than the wavelength, and uniform grids that are similar to or even much larger than the wavelength. For example, military aircraft, ships, etc., have a large overall structure, but contain many fine structures such as holes and antennas. However, this kind of local fine grid with fine grid has a serious impact on the time step and calculation performance of the time domain numeri...

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Application Information

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IPC IPC(8): G06F17/50G06F17/11
CPCG06F17/11G06F30/23
Inventor 徐立李星李斌杨中海
Owner UNIV OF ELECTRONIC SCI & TECH OF CHINA
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