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Hybrid time-domain discontinuous-Galerkin-method-based numerical method of time-domain computational-electromagnetics

A technology of computational electromagnetism and Galerkin method, applied in calculation, complex mathematical operations, electrical digital data processing, etc., to achieve high parallelism, low complexity, and reduced degrees of freedom

Inactive Publication Date: 2018-04-20
UNIV OF ELECTRONIC SCI & TECH OF CHINA
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Problems solved by technology

[0006] In order to solve the above-mentioned technical problems, this application proposes a numerical method for calculating electromagnetics in the time domain based on the hybrid time-domain discontinuous Galerkin method. By introducing a new hybrid term in the interface unit of the volume unit, it is used to define the numerical communication of the electromagnetic field. It can effectively avoid the shortage of calculation time, memory and precision of existing time-domain electromagnetic field numerical methods in dealing with multi-scale equipment in complex electromagnetic environments

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  • Hybrid time-domain discontinuous-Galerkin-method-based numerical method of time-domain computational-electromagnetics
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  • Hybrid time-domain discontinuous-Galerkin-method-based numerical method of time-domain computational-electromagnetics

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[0032] In order to make it easier for those skilled in the art to understand the technical content of the present invention, the content of the present invention will be further explained below by taking the passive three-dimensional time-domain Maxwell equations as an example with reference to the accompanying drawings.

[0033] Such as figure 1 Shown is the scheme flow chart of the present invention, and the technical scheme of the present invention is: based on the time-domain calculation electromagnetic numerical method of hybridization time-domain discontinuous Galerkin method, by introducing a hybridization term on the interface unit of adjacent volume units, It is used to define the numerical flux of the electromagnetic field. The implicit Crank-Nicolson time format is used to discretize the three-dimensional time-domain Maxwell equations after the introduction of the hybrid term, and a global linear system related only to the hybrid term is obtained. By solving the hybr...

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Abstract

The invention discloses a hybrid time-domain discontinuous-Galerkin-method-based numerical method of time-domain computational-electromagnetics. The method is applied to the numerical-solving field oftime-domain computational-electromagnetics. A hybrid term is introduced on interface units of adjacent body units, and is used to define numerical flux of electromagnetic fields, an implicit Crank-Nicolson time format is used to disperse three-dimensional time-domain Maxwell equations, after introducing the hybrid term, to obtain a global linear system related only to the hybrid term, and the electromagnetic fields of all the units are obtained through solving for the hybrid term. Therefore, the deficiency of calculation time, memory and precision of existing time-domain electromagnetic-fieldnumerical-methods in processing multi-scale equipment under complex electromagnetic environments can be effectively avoided.

Description

technical field [0001] The invention belongs to the field of electromagnetism numerical solution, in particular to a time-domain calculation electromagnetic numerical solution technology. Background technique [0002] Since the 1960s, computational electromagnetism has developed rapidly, and electromagnetic waves are widely used in modern science and technology and daily life. With the complexity of the electromagnetic environment and the multi-scale enlargement of computing equipment, it is extremely important to obtain the electromagnetic response characteristics of multi-scale equipment in complex electromagnetic environments with high precision. [0003] The frequency-domain method in computational electromagnetics studies the steady-state electromagnetic field distribution after infinite time under time-harmonic excitation, but each calculation can only obtain the steady-state electromagnetic field distribution at a single frequency point, which has certain complex disa...

Claims

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Application Information

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IPC IPC(8): G06F17/50G06F17/12
CPCG06F17/12G06F30/20
Inventor 徐立李星尹俊辉杨中海李斌
Owner UNIV OF ELECTRONIC SCI & TECH OF CHINA
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