Three-dimensional explicit and implicit time domain electromagnetic numerical method
A numerical method, time-domain electromagnetic technology, applied in electrical digital data processing, complex mathematical operations, special data processing applications, etc., can solve the problems of matrix ill-conditioned, aggravated matrix difficulty, memory consumption and iteration time, etc., to reduce dimensionality. number, the effect of improving computing performance
Active Publication Date: 2019-04-19
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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[0004] However, the discontinuous Galerkin method in the time domain has a fatal shortcoming, that is, the unknowns on the element interface are repeated, especially for multi-scale large-scale problems, as the number of model grids and the order of basis functions increase , the dimensionality of the global matrix generated by the implicit time format will be larger, and as the model becomes more complex, the matrix is likely to be highly ill-conditioned, which further exacerbates the difficulty of matrix solution
Therefore, with the conventional explicit-implicit hybrid algorithm based on discontinuous Galerkin in time domain, with the complexity of large-scale multi-scale problems, the accuracy of low-order basis functions can no longer meet the requirements of designers, while high-order basis functions cause memory loss in simulation. More consumption and iteration time
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[0028] The present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments.
[0029] refer to figure 1 , a three-dimensional explicit and implicit time-domain electromagnetic numerical method, comprising the following steps:
[0030] Step A, according to the physical structure of the target electronic device, combined with the working environment and boundary conditions for its simulation modeling;
[0031] The present invention is described by taking the passive three-dimensional time-domain Maxwell equation group as an example. Firstly, the passive three-dimensional time-domain Maxwell equations are given as follows:
[0032]
[0033] Among them, T represents the final time of model simulation calculation in the computational electromagnetics time domain, and E(x,y,z,t) and H(x,y,z,t) are the electric field strength and magnetic field strength vectors, respectively. The calculation area Ω is three-dimensional, n...
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The invention belongs to the technical field of three-dimensional time domain electromagnetic numerical solution, and relates to a three-dimensional explicit and implicit time domain electromagnetic numerical method. According to the method, the new implicit time domain hybrid intermittent Galerkin is used for replacing an implicit solution algorithm universal for explicit and implicit in an existing method, so that a small global unknown quantity is obtained, and the dimension of an implicit global matrix to be solved is greatly reduced. Finally, the explicit-implicit algorithm is used for efficiently solving a large-scale multi-scale three-dimensional time domain Maxwell equation set, and the calculation performance is improved on the premise that the high-order precision is guaranteed.
Description
technical field [0001] The invention belongs to the technical field of three-dimensional time-domain electromagnetic numerical solution, and relates to two numerical algorithms: a three-dimensional time-domain electromagnetic discontinuous Galerkin numerical method and a time-domain hybrid discontinuous Galerkin numerical method. Through the effective combination of these two methods, A numerical method for 3D explicit and implicit time-domain electromagnetics is formed, which is especially suitable for solving large-scale multi-scale problems. Background technique [0002] In a complex electromagnetic environment, the time-domain method can reflect the electromagnetic response characteristics of multi-scale equipment more quickly and intuitively. In time-domain electromagnetic simulation, the most time-consuming and memory-consuming step is the solution of the electromagnetic field, and the significant large-scale and multi-scale characteristics of electric vacuum devices m...
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IPC IPC(8): G06F17/50G06F17/12
CPCG06F17/12G06F30/23
Inventor 徐立李星杨中海李斌
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA