Simulation of Harmonic Temperature and Magnetic Fields Based on the Method of Separation of Variables in Regions of Complex Toroidal Forms

Abstract

Basic boundary-value problems of calculating harmonic physical fields for toroidal forms (including the cases of complex sectors and nonlinear boundary-value conditions) are considered on the basis of exact analytical representation of the solution in the form of a series in toroidal harmonics. The results obtained can be used in calculating harmonic fields in problems of heat and mass transfer and of electromagnetism, coefficients of the medium of specific technical objects of toroidal form, as well as a test problem when employing other methods.