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Electromagnetic wave time domain efficient numerical hybrid algorithm based on sub-grid technology

An electromagnetic wave and numerical technology, applied in the field of computational electromagnetics, can solve problems such as long CPU execution time and small time steps

Active Publication Date: 2020-05-01
NORTHWESTERN POLYTECHNICAL UNIV
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  • Abstract
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  • Claims
  • Application Information

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Problems solved by technology

However, for the traditional Finite-Difference Time-Domain Method (FDTD) based on sub-grid technology, due to the limitation of the Courant stability condition, the time step must be selected according to the fine grid, so the time step The length ratio is small, causing the CPU execution time to still be very long

Method used

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  • Electromagnetic wave time domain efficient numerical hybrid algorithm based on sub-grid technology
  • Electromagnetic wave time domain efficient numerical hybrid algorithm based on sub-grid technology
  • Electromagnetic wave time domain efficient numerical hybrid algorithm based on sub-grid technology

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Effect test

Embodiment 1

[0172] Embodiment 1: In a 40×40 free space calculation area, the space step is Δx=Δy=0.001m. The 4 × 4 grids at the center of the calculation area are subdivided into fine grids according to the ratio of 1:2, and the absorption boundary conditions of perfectly matching layers are set around the calculation area, with a thickness of 10 layers.

[0173] Figure 6 Shown in the two-dimensional TE mode, the electric field intensity E y Graph over time.

[0174] Figure 7 It is shown that in the two-dimensional TM mode, the electric field intensity E y Graph over time.

Embodiment 2

[0175] Embodiment 2: Taking the TE mode as an example, in a 201×201 free space calculation area, the space step is Δx=Δy=0.001m. A grid at the center of the calculation area is subdivided into fine grids at a ratio of 1:10, and a perfectly matching layer absorbing boundary condition is set around the calculation area, with a thickness of 10 layers.

[0176] Figure 8 It is shown that the electric field intensity E y Graph over time.

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Abstract

The invention provides an electromagnetic wave time domain efficient numerical hybrid algorithm based on a sub-grid technology. In a two-dimensional TE mode and a TM mode, a time domain finite difference method based on a sub-grid technology is combined with a time domain fine integration method, an electric small-size structure is subdivided by using a local fine grid, and other calculation areaskeep a coarse grid with a larger size. Then, a time domain finite difference method with small memory requirements is adopted for calculation in the coarse mesh area, and a time domain fine integration method which is matched with the time step of the coarse mesh and has a large time step length is adopted for calculation at the fine mesh. And finally, second-order Taylor expansion interpolationis adopted to realize exchange of calculation information of the coarse grid region and the fine grid region. Therefore, the advantages that the time domain finite difference method is small in memoryrequirement and the time domain fine integration method can select a large time step length are brought into play respectively, the number of iteration steps is reduced, the computer memory requirement and the CPU execution time are reduced, the calculation efficiency is improved, and waste of calculation resources is avoided.

Description

technical field [0001] The invention belongs to the field of computational electromagnetics, and in particular relates to an electromagnetic wave time-domain high-efficiency numerical mixing algorithm. Background technique [0002] For most complex electromagnetic wave numerical problems, especially the electromagnetic wave numerical problems that include electrically small-sized structures or units of electrically large size (that is, the calculation area is electrically large-sized, and contains electrically small-sized structures or units inside), the traditional processing method is The spatial grid is subdivided with an electrically small size as a reference, but the size of the subdivided grid in this way is small, resulting in a very large number of grids and high memory requirements. At the same time, for regions other than electrically small-scale structures, the subdivision is too dense, which is actually a waste of computing resources. Therefore, it is difficult ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/23
Inventor 康祯杨方李伟林黄明王嘉玮邵景晖
Owner NORTHWESTERN POLYTECHNICAL UNIV
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