A method for obtain a mathematical model of a high-voltage DC ion flow field
A technology of ion flow field and mathematical model, applied in the direction of complex mathematical operations, electrical digital data processing, special data processing applications, etc., can solve the problems of inaccurate numerical differentiation, false oscillation, numerical instability, etc., and achieve reliable convergence results Effect
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[0030] Such as figure 1 As shown, a method for obtaining a mathematical model of a high-voltage DC ion flow field, the method includes the following steps:
[0031] (1) Establish the control equations considering the ion flow field under the compound coefficient through the Poisson equation, the current density equation and the current continuity equation;
[0032] (2) Using the finite difference method, according to the subdivision of the calculation area, carry out discrete difference to the current continuity equation, and establish the current continuity difference equation;
[0033] (3) Given an initial charge density distribution, use the finite element method to solve Poisson's equation, and obtain the electric potential and electric field distribution in the first solution area;
[0034] (4) Using the node electric field strength obtained in (3), iteratively solve the current continuity difference equation formed by each node, and obtain the updated value of the prima...
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