Numerical methods to calculate magnetic fields of magnetostriction level converter

Abstract

This article discusses the method for obtaining a system of finite- difference equations to calculate the magnetic fields of magnetostrictive level transducers (MLT) of the applied type. An optimal numerical method for their solution is presented. The formulated problem of finding the optimal width of the non-magnetic wall of the reservoir of the applied MLT is solved by using the finite-difference approximation of the Maxwell system. The article shows the method for obtaining such equations based on the method of grids and considers in detail the optimal method for their numerical solution. The results of mathematical modeling of the magnetic field of the applied MLT using the developed program make it possible to determine the optimal value of the non-magnetic wall width of the tank of the applied MLT, at which the strength of the longitudinal magnetic field of the permanent magnet will be sufficient to form an ultrasonic torsion wave in medium of magnetostrictive sound line.