In the computational electromagnetism community it is known how the differential formulation of an eddy-current problem, can be translated into a finite dimensional system of equations involving circulations and fluxes, by means of the so-called Discrete Geometric Approach. This is done by exploiting the geometric structure behind Maxwell's equations. In this paper, we will show how the same Discrete Geometric Approach can be profitably used also to discretize an eddy-current problem formulated in an integral way. We rely on a purely geometric definition of a novel set of face vector basis functions that we use to construct the discrete counterparts-matrices-of both the Ohm's constitutive relation and of the integral relation between the magnetic vector potential and the eddy-current density vector. The symmetry and positive-definiteness of such matrices will be demonstrated and their geometric structure will be apparent.

A geometric integral formulation for eddy-currents

SPECOGNA, Ruben;TREVISAN, Francesco
2010

Abstract

In the computational electromagnetism community it is known how the differential formulation of an eddy-current problem, can be translated into a finite dimensional system of equations involving circulations and fluxes, by means of the so-called Discrete Geometric Approach. This is done by exploiting the geometric structure behind Maxwell's equations. In this paper, we will show how the same Discrete Geometric Approach can be profitably used also to discretize an eddy-current problem formulated in an integral way. We rely on a purely geometric definition of a novel set of face vector basis functions that we use to construct the discrete counterparts-matrices-of both the Ohm's constitutive relation and of the integral relation between the magnetic vector potential and the eddy-current density vector. The symmetry and positive-definiteness of such matrices will be demonstrated and their geometric structure will be apparent.
File in questo prodotto:
File Dimensione Formato  
specogna_ijnme_geometry_integral_eddycurrents.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: Non pubblico
Dimensione 195.75 kB
Formato Adobe PDF
195.75 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
REG62_specogna_ijnme_geometry_integral_eddycurrents.pdf

non disponibili

Tipologia: Altro materiale allegato
Licenza: Non pubblico
Dimensione 195.75 kB
Formato Adobe PDF
195.75 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
2831_ftp.pdf

non disponibili

Tipologia: Altro materiale allegato
Licenza: Non pubblico
Dimensione 198.13 kB
Formato Adobe PDF
198.13 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/720899
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 6
social impact