In this paper, we present a technique for solving largescale problems arising from the discretization of an integral formulation for three-dimensional eddy current problems in the magnetoquasi-static limit using edge-element-based shape functions. The proposed approach is in the framework of the precorrected fast Fourier transform method (PFFTM) that allows to compute the product of the full stiffness matrix with a vector in O(N log N) operations. A key point of standard PFFTM is the introduction of point-like sources defined onto a regular grid to approximate an arbitrary current density in the conductor and to compute the large distance interactions by FFT. Point-like sources are not suitable for representing solenoidal current densities as required for eddy currents problems. In this paper, edge-element-based shape functions onto the regular grid are introduced instead of the point-like sources. This allows us to improve the approximation (solenoidal current densities are approximated by solenoidal basis functions) and to reduce further the computational cost.
Fast computational methods for large-scale eddy-current computation / Rubinacci, Guglielmo; Tamburrino, A.; Ventre, S.; Villone, F.. - In: IEEE TRANSACTIONS ON MAGNETICS. - ISSN 0018-9464. - STAMPA. - 38:(2002), pp. 529-532. [10.1109/20.996139]
Fast computational methods for large-scale eddy-current computation
RUBINACCI, GUGLIELMO;F. Villone
2002
Abstract
In this paper, we present a technique for solving largescale problems arising from the discretization of an integral formulation for three-dimensional eddy current problems in the magnetoquasi-static limit using edge-element-based shape functions. The proposed approach is in the framework of the precorrected fast Fourier transform method (PFFTM) that allows to compute the product of the full stiffness matrix with a vector in O(N log N) operations. A key point of standard PFFTM is the introduction of point-like sources defined onto a regular grid to approximate an arbitrary current density in the conductor and to compute the large distance interactions by FFT. Point-like sources are not suitable for representing solenoidal current densities as required for eddy currents problems. In this paper, edge-element-based shape functions onto the regular grid are introduced instead of the point-like sources. This allows us to improve the approximation (solenoidal current densities are approximated by solenoidal basis functions) and to reduce further the computational cost.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.