1. ANALYSIS OF ION FLOW FIELDS BY COMBINATION OF BEM WITH MOC
- Author
-
H. Igarashi and T. Honma
- Subjects
Mathematical optimization ,Field (physics) ,Continuity equation ,Method of characteristics ,Chemistry ,Charge density ,Mechanics ,Boundary value problem ,Poisson's equation ,Space charge ,Boundary element method - Abstract
In this paper, we present a computational scheme based on the combination of boundary element method (BEM) and method of characteristics (MOC) for calculating ion flow fields. In this scheme, a self-consistent solution to the ion flow field is obtained by alternately using BEM as a solver of the Poisson equation and MOC as one of the current continuity equation. In addition, the boundary condition for the charge density, which can not be known a priori, is determined through the use of Peek's empirical law or Child-Langmuir law. The solution obtained from this scheme is compared with the exact solution using a coaxial cylindrical model and the agreement of the numerical with the exact solution is proved to be sufficient for practical uses. Moreover, this scheme is applied to the analysis of the ion flow field surrounding a high voltage D.C. transmission line and an ion emitting electrode in the ion engine of the electric propulsion system. In conclusion, it is shown that the agreement of the numerical solution with the experimental value is quantitatively good in the former case and ion trajectories are strongly affected by the space charge in the latter case.
- Published
- 1990
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