Time-domain geometric eddy-current A formulation for hexahedral grids

Codecasa, Lorenzo; Dular, Patrick; Specogna, Ruben; Trevisan, Francesco

doi:10.1109/TMAG.2010.2044766

Request a copy

Article (Scientific journals)

Time-domain geometric eddy-current A formulation for hexahedral grids

Codecasa, Lorenzo; Dular, Patrick; Specogna, Ruben et al.

2010 • In IEEE Transactions on Magnetics, 46 (8), p. 3301-3304

Peer Reviewed verified by ORBi

Permalink
https://hdl.handle.net/2268/83679

DOI
10.1109/TMAG.2010.2044766

Files (1)Send to Details Statistics Bibliography Similar publications

Files

Full Text

J.10.7-TMAG-RSpecogna-TimeDomainGeoEddyCurrentAFormHexaGrid.pdf

Publisher postprint (337.4 kB)

Request a copy

All documents in ORBi are protected by a user license.

Send to

RIS BibTex APA Chicago Permalink X Linkedin

Details

Keywords :

Cell method (CM); discrete geometric approach (DGA); eddy currents; finite integration technique (FIT); time domain

Abstract :

[en] The aim of this paper is to present a 3-D time-domain eddy-current A formulation based on the discrete geometric approach (DGA) over unstructured and nonorthogonal hexahedral dual grids. The resulting differential algebraic system of equation, solved by means of a singly-diagonally implicit Runge-Kutta (SDIRK) variable step-size solver, leads to very accurate results at reduced computational costs, as shown by numerical analysis.

Disciplines :

Electrical & electronics engineering

Author, co-author :

Codecasa, Lorenzo

Dular, Patrick ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)

Specogna, Ruben

Trevisan, Francesco

Language :

English

Title :

Time-domain geometric eddy-current A formulation for hexahedral grids

Publication date :

August 2010

Journal title :

IEEE Transactions on Magnetics

ISSN :

0018-9464

eISSN :

1941-0069

Publisher :

IEEE, Piscataway, United States - New Jersey

Volume :

Issue :

Pages :

3301-3304

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 04 February 2011

Statistics

Number of views

40 (1 by ULiège)

Number of downloads

0 (0 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

A. Bossavit, "How weak is the weak solution in finite elements methods?," IEEE Trans. Magn., vol.34, no.5, pp. 2429-2432, 1998.
T. Weiland, "A discretization method for the solution of Maxwell's equations for six-component fields," Electron. Commun.(AEÜ), vol.31, no.3, p. 116, 1977.
M. Clemens and T.Weiland, "Discrete electromagnetism with the finite integration technique," Progr. Electromagn. Res. (PIER) Monograph Ser., vol.32, pp. 65-87, 2001.
E. Tonti, "Algebraic topology and computational electromagnetism, " in Proc. 4th Int. Workshop Electr. Magn. Fields, Marseille, France, May 12-15, 1988, pp. 284-294.
E. Tonti, "Finite formulation of the electromagnetic field," IEEE Trans. Mag., vol.38, no.2, pp. 333-336, 2002.
L. Codecasa, R. Specogna, and F. Trevisan, "Constitutive relations for discrete geometric approach over hexahedral grids," IEEE Trans. Magn., accepted for publication.
A. Bossavit and L. Kettunen, "Yee-like schemes on staggered cellular grids: A synthesis between FIT and FEM approaches," IEEE Trans. Magn., vol.36, no.4, pp. 861-867, 2000.
M. Clemens, M. Wilke, and T. Weiland, "3-D transient eddy-current simulations using schemes with variable time-step selection," IEEE Trans. Magn., vol.38, pp. 605-608, 2002.
M. Clemens and T. Weiland, "Magnetic field simulation using conformal FIT formulations," IEEE Trans. Magn., vol.38, pp. 389-392, 2002.
L. Codecasa, R. Specogna, and F. Trevisan, "Discrete constitutive equations over hexahedral grids for eddy-current problems," Comput. Model. Eng. Sci., vol.31, no.3, pp. 129-144, 2008.
L. Codecasa, R. Specogna, and F. Trevisan, "Symmetric positive-definite constitutive matrices for discrete eddy-current problems," IEEE Trans. Magn., vol.43, pp. 510-515, 2007.
L. Codecasa and F. Trevisan, "Piecewise uniform bases and energetic approach for discrete constitutive matrices in electromagnetic problems," Int. J. Numer. Meth. Eng., vol.65, no.4, pp. 548-565, 2006.
R. Specogna and F. Trevisan, "Discrete constitutive equations in geometric eddy-currents formulation," IEEE Trans. Magn., vol.41, no.4, pp. 1259-1263, 2005.
A. Nicolet and F. Delincé, "Implicit Runge-Kutta methods for transient magnetic field computation," IEEE Trans. Magn., vol.32, no.3, pp. 1405-1408, 1996.
F. Cameron, R. Piché, and K. Forsman, "Variable step size time integration methods for transient eddy current problems," IEEE Trans. Magn., vol.34, no.5, pp. 3319-3322, 1998.
F. Cameron, "Low-order Runge-Kutta methods for differential- algebraic equations," Ph.D. dissertation, Tampere Univ. Technol., Tampere, Finland, 1999.
F. Cameron, M. Palmroth, and R. Piché, "Quasi stage order conditions for SDIRK methods," Appl. Numer. Math., vol.4241, pp. 61-75, 2002.