Domain-integrated field equations approach to static magnetic field computation-application to some two-dimensional configurations

Abstract

Abstract-The recently developed domain-integrated field equations approach to static magnetic field computation is applied to some two-dimensional configurations, viz. a model rotor/stator slot configuration and a model magnetic recording head configuration. Consistently linear edge expansion functions are used for the magnetic field strength, together with consistently linear face expansion functions for the magnetic flux density, both on a triangular mesh. The method handles large contrasts in material properties on a coarse mesh, with excellent global error properties, in acceptable computation times.

Finite formulation and domain-integrated field relations in electromagnetics - a synthesis

“…The method was originally developed in the context of stationary and static magnetic fields [10]. It was designed explicitly for investigating configurations where a discontinuous constitutive behavior persists down to the scale where actual measurements are still feasible, a scale referred to as the mesoscopic one.…”

Application of the domain-integrated field relations method to the solution of large scale static and stationary magnetic field problems

“…A 2-D version of the domain-integrated field relation method, as described in [1] (employing consistently linear edge and face expansion functions), was implemented in a C++ package called domain_integrated. It should be mentioned that the domain_in-tegrated package employs the new scaling procedure indicated in Section II.…”

“…In this situation there does not seem to exist an alternative to the expansion technique described in [1] (the one based on the use of consistently linear edge and face expansion functions). Nevertheless, most configurations that occur in practical applications consist of a relatively reduced collection of subdomains with constitutive material parameters that vary continuously in space (hereafter referred to as interface-free subdomains).…”

“…The discretized field quantities are now substituted in the domain-integrated field relations [1]. In view of ensuring their physical homogeneity, appropriate scaling factors are employed.…”

“…T HE DOMAIN-integrated field relations approach to computing static and stationary magnetic fields (see [1] and references therein) has been extensively proven to represent a robust and accurate method for modeling the field in highly inhomogeneous anisotropic configurations. No erratic solutions have been noticed in any of the numerous numerical experiments carried out thus far in relation to this computational method.…”