Vol. 24

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Hybrid Finite Difference/Finite Volume Method for 3-D Conducting Media Problems

By Zhi-Li He, Kai Huang, and Chang-Hong Liang
Progress In Electromagnetics Research M, Vol. 24, 85-95, 2012


A hybrid time-domain method combing finite-difference and cell-centered finite-volume method is presented in this paper. This method is applied to solve three dimensional electromagnetic problems which involve media having finite conductivity. The fractional-step technique (FST) for FVTD scheme is applied to solve these problems. Local time-step scheme is used to enhance the efficiency of this method. Numerical results are given and compared with a reliable numerical method, which is used to show the validation of this method.


Zhi-Li He, Kai Huang, and Chang-Hong Liang, "Hybrid Finite Difference/Finite Volume Method for 3-D Conducting Media Problems," Progress In Electromagnetics Research M, Vol. 24, 85-95, 2012.


    1. Yee, K. S., "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media ," IEEE Trans. Antennas Propagat., Vol. 14, 302-307, May 1966.

    2. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The Finite-difference Time Domain Method, 2nd Ed., Artech House, Norwood, MA, 2000.

    3. Bonnet, P. , X. Ferrieres, B. L. Michielsen, P. Klotz, and J. L. Roumiguires, Time Domain Electromagnetics, Ch. 9, Academic Press, New York, 1999.

    4. Shang, J. S., "Characteristic-based algorithms for solving the Maxwell equations in the time domain," IEEE Antennas Propagat. Mag., Vol. 37, 15-25, Jun. 1995.

    5. Riley, D. J. and C. D. Turner, "Local tetrahedron modeling of microelectronics using the finite-volume hybrid-grid technique,", Sandia Report, SAND95-2790, UC-706, Dec. 1995.

    6. Morton, K. W., Numerical Solution of Convection-diffusion Problems, Chapman & Hall, London, UK, 1996.

    7. Bozza, G., D. D. Caviglia, L. Ghelardoni, and M. Pastorino, "Cell-centered finite-volume time-domain method for conducting media," IEEE Microwave and Wireless Components Letters, Vol. 20, No. 9, 477-479, Sep. 2010.

    8. Bommaraju, C., "Investigating finite volume time domain methods in computational electromagnetics,", Ph.D. Dissertation, Technischen University Darmstadt, Darmstadt, 2009.

    9. Andersson, U., "Time-domain methods for the maxwell equations,", Ph.D. Dissertation, Department of Numerical Analysis and Computer Science, Royal Institute of Technology, Stockholm, 2001.

    10. Remaki, M., "A new finite volume scheme for solving Maxwell's system," COMPEL, 913-931, 2000.

    11. Yang, M., , Y. Chen, and R. Mittra, "Hybrid finite-difference/finite-volume time-domain analysis for microwave integrated circuits with curved PEC surfaces using a nonuniform rectangular grid," IEEE Trans. Microwave Theory Tech., Vol. 48, 969-975, Jun. 2000.

    12. Ferrieres, X. , J.-P. Parmantier, S. Bertuol, and A. R. Ruddle, "Application of a hybrid finite difference/finite volume method to solve an automotive EMC problem," IEEE Trans. Electromagnetic Compatibility, Vol. 46, No. 4, 624-634, Nov. 2004.

    13. Leveque, R. J., Finite Volume Methods for Hyperbolic Problems, Cambridge University Press, Cambridge, UK, 2004.

    14. Haider, F., J.-P. Croisille, and B. Courbet, "Stability analysis of the cell centered finite-volume MUSCL method on un-structured grids," Numer. Math., Vol. 113, 555-600, 2009, DOI10.1007/s00211-009-0242-6.

    15. Medgyesi-Mitschang, L. N., J. M. Putam, and M. B. Gedera, "Generalized method of moments for 3D penetrable scatters," Opt. Soc. Am. A, Vol. 11, No. 4, 1383-1398, 1994.

    16. He, Z.-L., K. Huang, Y. Zhang, and C.-H. Liang, "A new local time-step scheme for hybrid finite difference/finite volume method," Journal of Electromagnetic Waves and Applications, Vol. 26, No. 5-, 641-652, 2012.