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

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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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 basis functions can no longer meet the designer's requirements, and the construction of the high-order basis functions virtually increases the number of global unknowns and the difficulty of matrix solution. Therefore, there is an urgent need for a An efficient time-domain electromagnetic numerical method is used to solve the problem of this kind of unstructured local dense grid, and the calculation performance can be improved under the premise of ensuring high-order accuracy

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