Point collocation mesh-free method using FMLSRKM for solving axisymmetric Laplace equation

IEEE Transactions on Magnetics

Volumn 44, Issue 6, 2008, Pages 1234-1237

  Lee, Chany ^a   Kim, Do Wan ^b   Park, Sang Hun ^a   Kim, Hong Kyu ^c   Im, Chang Hwan ^d   Jung, Hyun Kyo ^a  

^a Seoul National University   (South Korea)

^b Hanyang University   (South Korea)

^c Korea Electrotechnology Research Institute (KERI)   (South Korea)

^d Yonsei University Wonju   (South Korea)

Author keywords

Axisymmetric; Fast moving least square reproducing kernel method (FMLSRKM); Gas circuit breaker; Mesh free

Indexed keywords

ELECTRIC POTENTIAL DISTRIBUTION; FAST MOVING LEAST SQUARE REPRODUCING KERNEL METHOD (FMLSRKM); GAS CIRCUIT BREAKERS;

ELECTRIC ARCS; ELECTRIC POTENTIAL; LAPLACE EQUATION; OPTIMIZATION; PROBLEM SOLVING;

OIL CIRCUIT BREAKERS;

EID: 44049105412     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2007.914859     Document Type: Article

References (13)

1. Y. Y. Lu, T. Belytschko, and L. Gu, "A new implementation of the element free Galerkin method," Comput. Meth. Appl. Mech. Eng., vol. 113, pp. 397-414, 1994.
2. R. A. Gingold and J. J. Monaghan, "Smoothed particle hydrodynamics: Theory and application to non-spherical stars," Mon. Not. R. Astron. Soc., vol. 181, pp. 375-389, 1977.
3. W. K. Liu, S. Jun, and Y. F. Zhang, "Reproducing kernel particle methods," Int. J. Numer. Meth. Fl., vol. 20, pp. 1081-1106, 1995.
4. J. M. Melenk and I. Babuška, "The partition of unity finite element method: Basic theory and applications," Int. J. Numer. Meth. Eng., vol. 139, pp. 289-314, 1996.
5. C. A. Duarte and J. T. Oden, "An h-p adaptive method using clouds," Comput. Meth. Appl. Mech. Eng., vol. 139, pp. 237-262, 1996.
6. T. Belyschko, Y. Krongauz, D. Rogan, M. Fleming, and P. Krysl, "Meshless methods: An overview and recent developments," Comput. Methods Appl. Mech. Eng., vol. 139, pp. 3-47, 1996.
7. D. W. Kim and Y. Kim, "Point collocation methods using the fast moving least square reproducing kernel approximation," Int. J. Numer. Methods Eng., vol. 56, pp. 1445-1464, 2003.
8. C. Lee, C. H. Im, H. K. Jung, H. K. Kim, and D. W. Kim, "A posteriori error estimation and adaptive node refinement for Fast Moving Least Square Reproducing Kernel (FMLSRK) method," CMES, vol. 20, no. 1, pp. 35-41, 2007.
9. D. W. Kim and H. K. Kim, "Point collocation method based on the FMLSRKM approximation for electromagnetic field analysis," IEEE Trans. Magn., vol. 40, no. 2, pp. 1029-1032, 2004.
10. S. H. Park, C. Y. Bae, H.K Kim, and H. K. Jung, "Computer simulation of interaction of arc-gas flow in SF6 puffer circuit breaker considering effects of ablated nozzle vapor," IEEE Trans. Magn., vol. 40, no. 4, pp. 1067-1070, 2006.
11. D. K. Cheng, Field and Wave Electromagnetics, 2nd ed. Reading, MA: Addison-Wesley, 1989, pp. 183-185.
12. L. S. Frost and R. W. Liebermann, "Composition and transport properties of SF6 and their use in a simplified enthalpy flow arc model," Proc. IEEE, vol. 59, no. 4, pp. 474-485, 1971.
13. C. Y. Bae, H. K. Jung, and K. Choi, "Calculation of small current breaking performance of gas circuit breaker considering the real gas properties of SF6," IEEE Trans. Magn, vol. 41, no. 5, pp. 1908-1911, 2005.