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Numerical Simulation Method of Short Gap Gas Discharge Based on Time Domain Spectral Element Method

A technology of time-domain spectral element method and gas discharge, which is applied in the direction of design optimization/simulation, special data processing applications, etc., can solve the problems of limited time step of simulation time, large gradient of charged particles, numerical divergence, etc., and achieve mass matrix Easy to invert, reduce simulation time, and enlarge the effect of time step

Active Publication Date: 2021-05-14
NANJING UNIV OF SCI & TECH
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Problems solved by technology

The difficulty in solving the particle transport equation is that the gradient of charged particles at the head of the streamer is very large, and the general numerical algorithm is difficult to deal with. Even if the mesh is finely divided, there will be numerical divergence or oscillation.
Flux transfer correction technology (FCT) is currently the main method to solve such problems. Traditional flux transfer correction can only be used in explicit iterations, and the simulation time is limited by the time step

Method used

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  • Numerical Simulation Method of Short Gap Gas Discharge Based on Time Domain Spectral Element Method
  • Numerical Simulation Method of Short Gap Gas Discharge Based on Time Domain Spectral Element Method
  • Numerical Simulation Method of Short Gap Gas Discharge Based on Time Domain Spectral Element Method

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Embodiment 1

[0112] In order to verify the correctness and effectiveness of the present invention, the temporal and spatial evolution of the double-head streamer in the short-gap gas discharge is analyzed below.

[0113] The electrode configuration of the example is as follows figure 2 As shown, its geometric model is: a cuboid of 0.0001cm×0.0001cm×1cm, the subdivision size is 0.0001cm, the simulated background electric field is 50kV / cm, and the air pressure is 760torr. The transport parameters used in the simulation are as follows: ionization coefficient α=5.7 Pexp(-259P / E)(cm -1 ) where the unit of air pressure is torr, the unit of electric field is V / cm; the electron diffusion coefficient is D z =1800(cm 2 / s); electron mobility ν e =-2.9e 5 / P·E(cm 2 / s). We think that the streamer starts from the plasmoid at the center of the plate, and the density of charged particles is Gaussian. After a brief initial stage, a steady-state developing propagation process is entered. This exam...

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Abstract

The invention discloses a short-gap gas discharge numerical simulation method based on the time-domain spectrum element method. The steps of the method are as follows: establish a structural model of short-gap gas, and discretize it to obtain the structural information of the model; use the GLL basis function based on the spectral element method to discretize, and perform the Galerkin test to obtain the expression of the high-order scheme; for the Stiffness matrix, by eliminating the negative elements outside the diagonal, the expression of the low-order scheme is obtained; the expressions of the high-order and low-order schemes are subtracted to obtain the original back-diffusion flux and pre-limited; the correction factor is calculated, Finally, the limited back-diffusion flux is obtained, and the limited back-diffusion flux is added to the expression of the low-order scheme, time is discretized through the multi-step backward difference scheme, and Newton iteration is used to solve at each time step, Get the electron density and ion density of the gas, calculate the electric field and update the transport parameters. The invention can achieve unconditional stability in terms of time, high calculation precision and good simulation effect.

Description

technical field [0001] The invention belongs to the technical field of short-gap gas discharge numerical simulation technology, in particular to a short-gap gas discharge numerical simulation method based on a time-domain spectral element method. Background technique [0002] With the continuous development of the national economy and the continuous improvement of energy demand, ultra-high voltage transmission has become the main way of long-distance transmission. A large part of the failure of the power system is caused by the breakdown of the gas insulation medium. In-depth understanding of the process of gas discharge It is of great significance to ensure the safety of power system. In addition, gas discharge will generate plasma, which is inseparable from our life and production, and plasma processing technology is involved in industry, agriculture, medical treatment, energy and other aspects. Such as plasma cleaning, plasma synthesis, plasma smelting, material surface ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20
CPCG06F30/23
Inventor 解本琦陈如山盛亦军丁大志牛荣鑫
Owner NANJING UNIV OF SCI & TECH
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