Arbitrary high-order hybrid grid time domain discontinuous Galerkin method based on multi-stage local time stepping technology

Abstract

The invention discloses an arbitrary high-order hybrid grid time domain discontinuous Galerkin method based on a multistage local time stepping technology. According to the method, a Maxwell equationset is selected as a basic numerical model; an arbitrary high-order derivative (ADER) time stepping scheme is combined; a computational domain is divided by adopting a reasonable tetrahedron / hexahedron hybrid grid; each subdivision cell respectively and automatically determines a proper time iteration step length according to a stability condition; iteration updating can be carried out on a plurality of time iteration step lengths and each cellular electromagnetic field quantity in any proportion according to the own time iteration step length until all cellular field quantities are iterated to a specified time point, and the obtained time-varying electromagnetic field quantity is post-processed to obtain a corresponding S parameter, a radar scattering sectional area and electromagnetic field spatial distribution. According to the method, the problem that the calculation efficiency is low due to the fact that the time step length of a time domain electromagnetic analysis method is limited by the minimum discrete grid size is solved, the calculation precision is improved, the calculation time is shortened, and the method is particularly suitable for rapid analysis of the space multi-scale electromagnetic problem.

Description

technical field [0001] The invention belongs to the technical field of electromagnetic simulation, in particular to a numerical calculation technology of a discontinuous Galerkin time-domain finite element algorithm, and an efficient algorithm for simulating space multi-scale electromagnetic problems. Background technique [0002] With the increasingly complex engineering design and electromagnetic simulation environment, when multiple spatio-temporal scales are of research significance on the problem of interest, due to the lack of sufficient efficiency, accuracy and robustness of traditional numerical computing techniques to solve macroscopic multi-scale Maxwell equation, so it will face difficulties and challenges when analyzing its electromagnetic transient problem. Contents of the invention [0003] The purpose of the present invention is to propose a multi-level local time-stepping technique and an arbitrary high-order mixed grid time-domain discontinuous Galerkin me...

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Problems solved by technology

[0002] With the increasingly complex engineering design and electromagnetic simulation environment, when multiple spatio-temporal scales are of research significance on the problem of interest, due to the lack of sufficient efficiency, accuracy and robustness of traditional numerical computing techniques to solve macroscopic multi-scale Maxwell equation, so the analysis of its electromagnetic transient problems will face difficulties and challenges

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