About this Journal Submit a Manuscript Table of Contents
Journal of Sensors
Volume 2012 (2012), Article ID 785271, 6 pages
http://dx.doi.org/10.1155/2012/785271
Research Article

3D Finite Volume Modeling of ENDE Using Electromagnetic T-Formulation

1Institut de Recherche en Electrotechnique et Electronique de Nantes Atlantique (IREENA), 37 Boulevard de l’Université, BP 406, 44602 Saint Nazaire, France
2Département d’Electrotechnique, Université Mohamed Kheider, Briskra 07000, Algeria

Received 16 January 2012; Revised 21 March 2012; Accepted 6 April 2012

Academic Editor: Xinyong Dong

Copyright © 2012 Yue Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. K. Versteeg and W. Malalasekera, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Prentice Hall, New York, NY, USA, 2nd edition, 2007.
  2. R. Eymard, T. Gallouët, and R. Herbin, Finite Volume Methodes, vol. 7 of Handbook of Numerical Analysis, 2006, update version of 1997.
  3. R. J. Leveque, “High resolution finite volume methods on arbitrary grids via wave propagation,” Journal of Computational Physics, vol. 78, no. 1, pp. 36–63, 1988. View at Scopus
  4. A. Cheriet, M. Feliachi, and S. M. Mimoune, “3D movement simulation technique in FVM method application to eddy current non destructive testing,” The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 28, no. 1, pp. 77–84, 2009. View at Publisher · View at Google Scholar · View at Scopus
  5. X. Yaoqin, L. Feng, and M. Xinshan, “Computation of eddy current problems by the finite volume method,” in Proceedings of the 5th International Conference on Electrical Machines and Systems, vol. 2, pp. 1117–1120, 2001.
  6. J. Zou, Y. Q. Xie, J. S. Yuan et al., “Analysis of the thin plate eddy-current problem by finite volume method,” IEEE Transactions on Magnetics, vol. 40, no. 2, pp. 1370–1373, 2004. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Cheriet, A. Zaoui, M. Feliachi, and S. M. Mimoune, “3-D nonlinear magnetostatic field computation with finite volume method by means of M-B iteration,” in Proceedings of the 5ème Conférence Européenne sur les Méthodes Numériques en Électromagnétisme (NUMELEC '06), Lille France, 2006, Proc., Art. 25.
  8. J. Peiro and S. Sherwin, Finite Difference, Finite Element and Finite Volume Method for Partial Differential Equations, Article 8.2, Handbook of Materials Modeling, 2005.
  9. G. Dong, J. Zou, R. H. Bayford et al., “The comparison between FVM and FEM for EIT forward problem,” IEEE Transactions on Magnetics, vol. 41, no. 5, pp. 1468–1471, 2005. View at Publisher · View at Google Scholar · View at Scopus
  10. A. Cheriet, A. Zaoui, M. Feliachi, and S. M. Mimoune, “Computational performance comparison between FVM and FEM for 3-D magnetostatic problems,” in Proceedings of the 5eme Conférence Européenne sur les Méthodes Numériques en Electromagnétisme (NUMELEC '06), 2006, Proc., Art. 47.
  11. Y. Li, G. Berthiau, M. Feliachi, and B. Ramdane, “Association of electromagnetic T-omega formulation and finite volume method for CFCM material modeling,” in Proceedings of the 15th International Symposium on Applied Electromagnetics and Mechanics, 2011.
  12. H. Menana and M. Feliachi, “3-D Eddy current computation in carbon-fiber reinforced composites,” IEEE Transactions on Magnetics, vol. 45, no. 3, pp. 1008–1011, 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. T. Takagi, T. Sugiura, K. Miyata, S. Norimatsu, K. Okamura, and K. Miya, “Iterative solution technique for 3-D eddy current analysis using T-method,” IEEE Transactions on Magnetics, vol. 24, no. 6, pp. 2682–2684, 1988. View at Publisher · View at Google Scholar · View at Scopus
  14. F. Bouillault, Z. Ren, and A. Razek, “Calculation of 3D eddy current problems by an hybrid T-Ω method,” IEEE Transactions on Magnetics, vol. 26, no. 2, pp. 478–481, 1990. View at Publisher · View at Google Scholar · View at Scopus
  15. M. Gyimesi, D. Lavers, T. Pawlak, and D. Ostergaard, “Biot-savart integration for bars and arcs,” IEEE Transactions on Magnetics, vol. 29, no. 6, pp. 2389–2391, 1993. View at Publisher · View at Google Scholar · View at Scopus
  16. T. Takagi, M. Hashimoto, S. Arita, S. Norimatsu, T. Sugiura, and K. Miya, “Experimental verification of 3D eddy current analysis code using T-method,” IEEE Transactions on Magnetics, vol. 26, no. 2, pp. 474–477, 1990. View at Publisher · View at Google Scholar · View at Scopus
  17. O. Biro, K. Preis, W. Renhart, K. R. Richter, and G. Vrisk, “Performance of different vector potential formulations in solving multiply connected 3-D eddy current problems,” IEEE Transactions on Magnetics, vol. 26, no. 2, pp. 438–441, 1990. View at Publisher · View at Google Scholar · View at Scopus
  18. E. T. Chung, Q. Du, and J. Zou, “Convergence analysis of a finite volume method for Maxwell's equations in nonhomogeneous media,” SIAM Journal on Numerical Analysis, vol. 41, no. 1, pp. 37–63, 2003. View at Publisher · View at Google Scholar · View at Scopus
  19. J. R. Bowler, S. A. Jenkins, L. D. Sabbagh, and H. A. Sabbagh, “Eddy-current probe impedance due to a volumetric flaw,” Journal of Applied Physics, vol. 70, no. 3, pp. 1107–1114, 1991. View at Publisher · View at Google Scholar · View at Scopus
  20. Y. Yoshida and J. R. Bowler, “Vector potential integral formulation for eddy-current probe response to cracks,” IEEE Transactions on Magnetics, vol. 36, no. 2, pp. 461–469, 2000. View at Publisher · View at Google Scholar · View at Scopus
  21. L. Santandrea and Y. Le Bihan, “Using comsol multiphysics in eddy current non destructive testing context,” in Proceedings of the Comsol Conference Paris, vol. 1, Paris, France, 2010, HAL: hal-00557541.
  22. C. Dezhi, K. R. Shao, S. Jianni, and Y. Weili, “Eddy current interaction with a thin-opening crack in a plate conductor,” IEEE Transactions on Magnetics, vol. 36, no. 4, pp. 1745–1749, 2000. View at Publisher · View at Google Scholar · View at Scopus
  23. J. Cheng, J. Qiu, T. Takagi, and T. Uchimoto, “Eddy current numerical evaluation of carbon-fibre reinforced polymer by finite element method,” in Proceedings of the 15th International Symposium on Applied Electromagnetics and Mechanics, Naples, Italy, 2011.
  24. F. Azzouz, Contribution à la modélisation de tôles ferromagnétiques par impédance de surface et élément finis, Thèse de doctorat, Ecole Doctorale Sciences et Technologies de l’Information et des Matériaux, Université de Nantes-France, 2000.