New high order FDTD method to solve EMC problems

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N. Deymier
T. Volpert
X. Ferrieres
V. Mouysset
B. Pecqueux

Abstract

In electromagnetic compatibility (EMC) context, we are interested in developing new ac- curate methods to solve efficiently and accurately Maxwell’s equations in the time domain. Indeed, usual methods such as FDTD or FVTD present im- portant dissipative and/or dispersive errors which prevent to obtain a good numerical approximation of the physical solution for a given industrial scene unless we use a mesh with a very small cell size. To avoid this problem, schemes like the Discontinuous Galerkin (DG) method, based on higher order spa- tial approximations, have been introduced and stud- ied on unstructured meshes. However the cost of this kind of method can become prohibitive accord- ing to the mesh used. In this paper, we first present a higher order spatial approximation method on carte- sian meshes. It is based on a finite element ap- proach and recovers at the order 1 the well-known Yee’s schema. Next, to deal with EMC problem, a non-oriented thin wire formalism is proposed for this method. Finally, several examples are given to present the benefits of this new method by compar- ison with both Yee’s schema and DG approaches.

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How to Cite
Deymier, N., Volpert, T., Ferrieres, X., Mouysset, V., & Pecqueux, B. (2015). New high order FDTD method to solve EMC problems. Advanced Electromagnetics, 4(2), 17-25. https://doi.org/10.7716/aem.v4i2.284
Section
Research Articles

References


  1. K.S. Yee "Numerical solution of initial boundary value problems involving Maxwell's equations in istropic media", IEEE trans. Antennas Propag., AP-14 (3) : 302-307, 1966.

  2. A. Taflove, "Advances in computational electrodynamics: the finite-difference time-domain", Artech house, Boston, 1998

  3. T. Zygiridis, T. Tsiboukis, "Low-Dispersion Algorithms Based on the Higher Order (2,4) FDTD Method", IEEE Trans. on Microwave Theory and Thechniques,(52), No.4, April 2004.

  4. E. Turkel and A. Yefet, "Fourth order method for Maxwell's equations on a staggered mesh", Proc. IEEE Antennas and Propag. Soc. Int. Symp.,(4), 2156-2159, July 1997.

  5. R. Chilton and R. Lee, "The lobatto Cell: Robust, Explicit, Higher Order FDTD that handles Inhomogeneous media", IEEE Trans. on Antennas and Propagation, (56), No.8, (2008)

  6. R. Chilton, "H-, P- and T-refinement strategies for the finite-difference time-domain (FDTD) method developped via finite-element (FE) principles", PhD thesis, The Ohio State University, (2008).

  7. J.S. Hesthaven and T. Waburton, High-Order nodal methods on unstructured grids for time-domain solution of Maxwell's equations, J. Comp. Physics, 181 : 1-34, 2002.
    View Article

  8. C. Durochat M’ethode de type galerkin Discontinu en maillage multi-elements pour la resolution numeriques des equations de Maxwell instationnaires, These de l'Universite de Nice Sophia-Antipolis, (2013)

  9. G.Cohen, X.Ferrieres and S. Pernet, "A spatial high order discontinuous Galerkin Method to solve Maxwell's equation in time domain", Journal of Conputational Physics, 217, 340-363, 2006.
    View Article

  10. G.C. Cohen, "Higher-Order Numerical methods for Transient Wave Equations", Springer-Verlag, Berlin, 2002.
    View Article

  11. F. Edelvik, "A new technique for accurate and stable modeling of arbitrary oriented thin wires in the FDTD method", IEEE Trans. on EMC, 45 (2) : 416-423, 2003.

  12. C. Guiffaut, A. Reinex, B. Pecqueux, "New Oblique Thin Wire Formalism in th FDTD Method With Multiwire Junctions", IEE Transactions on antennas and propagation, vol 60, no 3, March 2012.

  13. R. Holland, L. Simpson, Finite-Difference Analysis of EMP Coupling to Thin Struts and Wires", IEEE Transactions on electromagnetic compatibility, vol. emc-23, no. 2, may 1981.