Title :
Numerical solutions of Laplace´s equations and the ion current problem by the use of flux tubes and equipotentials (FTE)
Author :
Lawless, Phil A.
Author_Institution :
Research Triangle Inst., Research Triangle Park, NC, USA
Abstract :
The method presented uses finite-difference and current-conservation equations, but applies them on a grid which is continuously adjusted by relaxation to approximate flux tube and equipotential surfaces. The resulting solution then contains the flux lines and equipotential lines explicitly. The primary advantages for using the method are that numerical diffusion of the ions is avoided, and the method is adaptable able to include physical diffusion terms.<>
Keywords :
difference equations; electric potential; electrostatics; FTE; Laplace´s equations; current-conservation equations; electrostatics; equipotentials; finite difference equations; flux tubes; ion current; Finite difference methods; Laplace equations;
Conference_Titel :
Industry Applications Society Annual Meeting, 1988., Conference Record of the 1988 IEEE
Conference_Location :
Pittsburgh, PA, USA
DOI :
10.1109/IAS.1988.25286