Potential distribution finite difference solving method for two-dimensional electrostatic particle model

A finite difference, potential distribution technology, applied in the field of electromagnetic field simulation, can solve the problems of low potential distribution solution accuracy, long running time, etc., to achieve the effect of improving computing efficiency and data accuracy, shortening running time, and saving memory space

Pending Publication Date: 2022-07-08
UNIV OF ELECTRONIC SCI & TECH OF CHINA
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Problems solved by technology

[0008] The purpose of the present invention is to provide a finite difference solution method for the potential distribution of the two-dimensional electrostatic particle model to solve the problems of low accuracy and long running time of the existing two-dimensional electrostatic particle model for the potential distribution

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  • Potential distribution finite difference solving method for two-dimensional electrostatic particle model
  • Potential distribution finite difference solving method for two-dimensional electrostatic particle model
  • Potential distribution finite difference solving method for two-dimensional electrostatic particle model

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Embodiment Construction

[0022] The present invention will be described in detail below with reference to the accompanying drawings and embodiments.

[0023] According to the above steps, the present invention implements a finite difference solution method for the potential distribution of a two-dimensional electrostatic particle model, and the detailed process is as follows:

[0024] Step 1. Set the charge distribution f(x, y)=2π in the two-dimensional rectangular field Ω according to the application requirements 2 sinπxsinπy. figure 1 is a schematic diagram of the parallel plate electrostatic model, such as figure 1 As shown, the A side of the model is the positive direction of the applied electric field, the C side is the negative electrode of the applied electric field, and the electric field line is emitted from the A side to the C side, and the potential at any point in the field is obtained. satisfies the two-dimensional Poisson equation;

[0025]

[0026] Then, the two-dimensional field...

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Abstract

The invention belongs to the field of electromagnetic field simulation, and particularly relates to a potential distribution finite difference solving method for a two-dimensional electrostatic particle model. The method comprises the following steps: performing uniform grid division on a two-dimensional field domain omega of a two-dimensional electrostatic particle model, deriving a five-point difference format of a two-dimensional Poisson equation of each unknown node under a uniform grid by adopting a finite difference format, and sorting out a matrix equation about field distribution according to the five-point difference format under each unknown node; the method comprises the steps that firstly, a matrix equation K is obtained, then C + + is used for compiling codes to compress the matrix equation K to obtain a Harwell-Boeing storage format for storage, then LU decomposition is conducted on the matrix K stored in the Harwell-Boeing storage format by directly adopting a linear equation set solving library superLU, phi is calculated through a library function, simultaneous solving of potential distribution of all points in a plurality of two-dimensional electrostatic particle models is achieved, and finally the potential distribution of all the points in the two-dimensional electrostatic particle models is obtained. And the calculation efficiency and the data precision are greatly improved.

Description

technical field [0001] The invention belongs to the field of electromagnetic field simulation, in particular to a finite difference solution method of electric potential distribution for a two-dimensional electrostatic particle model. Background technique [0002] Finite Difference Method (FDM) is an approximation method for solving numerical solutions of differential equations. The finite difference method has been widely used in numerical analysis because of its simple and intuitive characteristics. [0003] The models of particle simulation are mainly divided into electrostatic model, magnetostatic model and electromagnetic model. The electrostatic model is used to simulate the physical problems that play a decisive role in the electrostatic field, such as to set the initial electric field distribution of the simulated device. The electric potential distribution solution of the two-dimensional electrostatic particle model in the prior art includes the following steps: ...

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Application Information

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IPC IPC(8): G06F30/23G06F17/16G06F16/22
CPCG06F30/23G06F17/16G06F16/2237Y02E60/00
Inventor 刘腊群王启昂刘大刚王辉辉赵洲
Owner UNIV OF ELECTRONIC SCI & TECH OF CHINA
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