Particle movement driving finite element algorithm applied to PIC

A particle motion and finite element technology, applied in special data processing applications, calculations, instruments, etc., can solve problems such as poor boundary matching, heavy numerical simulation burden, and low solution accuracy, and achieve optimal spatial grids and time steps The effect of long, simple calculation and high calculation accuracy

Active Publication Date: 2018-08-17
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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Problems solved by technology

[0016] Aiming at the problems and deficiencies mentioned above, in order to solve the problems of low boundary matching degree, low solution accuracy and heavy numerical simulation burden of FD and IFE methods in the solution of propelling particle motion, the present invention provides a propelling method applied to PIC Particle Motion Finite Element (FEM) Algorithm

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  • Particle movement driving finite element algorithm applied to PIC
  • Particle movement driving finite element algorithm applied to PIC
  • Particle movement driving finite element algorithm applied to PIC

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Embodiment Construction

[0053] The present invention will be described in further detail below through implementation examples.

[0054] Taking the ion thruster seven-hole double-grid ion optical system as an example, the schematic diagram is as follows Figure 5 shown. Adopt algorithm among the present invention to carry out the specific implementation steps of PIC electrostatic simulation to this example as follows:

[0055] Step 1, electric field solution.

[0056] The electric field at all grid points is obtained by solving the electrostatic discrete Poisson equation satisfied by the electric field;

[0057] Step 2. Solve the ion force, obtain the potential distribution in the grid through the potential value on the relevant grid point, and solve the negative gradient to obtain the electric field at the position of the particle, and then solve the force;

[0058] Step 3. Promote ion movement.

[0059] Using the global unstructured grid, by solving the discrete ion motion equation, update the ...

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Abstract

The invention belongs to the field of particle-in-cell numerical simulation, and particularly relates to a particle movement driving finite element algorithm applied to PIC. A non-structured grid is used; the grid can better fit the shape of a model boundary, so that the particle movement driving algorithm for the PIC has higher calculation precision; a particle movement driving FEM is combined with a typical PIC method, and while excellent characteristics of calculation simplicity and quickness of the typical PIC method are kept, higher finite element calculation precision is obtained by utilizing the FEM; and the FEM not only can well match the complex boundary but also can use a non-uniform grid according to a simulation need and is not limited by a numerical stability condition, so that under the condition of keeping the calculation precision, a spatial grid and a time step length can be optimized, and the simulation efficiency is greatly improved.

Description

technical field [0001] The invention belongs to the field of numerical simulation of particle-in-cell (abbreviated as PIC), and specifically relates to a finite element algorithm for propelling particle motion applied to PIC. Background technique [0002] The PIC method is a numerical simulation method widely used in the physical problems of the interaction between charged particles and electromagnetic fields. It obtains the macroscopic characteristics and laws of motion by tracking the motion of a large number of charged particles in external and self-consistent electromagnetic fields and statistically averaging them. After decades of development, the PIC simulation method has become a powerful numerical method to study the physical problems of the interaction between charged particles and electromagnetic fields, and is widely used in many fields involved in the interaction of charged particles and electromagnetic fields, such as magnetic confinement fusion plasma body, ine...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 黄桃刘美玉金晓林杨中海李斌
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA
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