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Numerical modelling of the stationary Maxwell–Lorentz system in technical devices
Author(s) -
Westermann Thomas
Publication year - 1994
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1660070106
Subject(s) - equidistant , polygon mesh , boundary (topology) , grid , maxwell's equations , flexibility (engineering) , lorentz transformation , process (computing) , regular polygon , mathematics , computer science , mathematical optimization , mathematical analysis , physics , classical mechanics , geometry , statistics , operating system
The particle‐in‐cell method is coupled with boundary‐fitted co‐ordinates in order to model the stationary Maxwell–Lorentz problem in technical devices. New numerical algorithms describing the transition between the grid model and the mesh‐free model are developed and the existing techniques of finite difference schemes for equidistant grids are extended to non‐equidistant, arbitrarily shaped, convex four‐point meshes. The modelling process is described, and both the numerical approximation and the algorithms are discussed. Applications in different technical devices show the flexibility of the method.