Discontinuous Galerkin Time Domain Method for Scattering Analysis of Air-Inlets
Keywords:
Air-inlets, DGTD, RCSAbstract
In this paper, a high-order three dimensional (3-D) discontinuous Galerkin time domain (DGTD) method has been introduced for the first time for the efficient scattering analysis of air-inlets. This method combines the geometrical versatility of finite element method (FEM) with the explicit time-stepping of finite volume time domain (FVTD) method, thus having the advantages of handling electrically large, arbitrarily shaped, and complex media objects. To validate the capability of this method, the radar cross section (RCS) of three typical air-inlet models have been simulated. The results of the DGTD method agree well with that of the method of moments (MoM), which proves the DGTD method a useful alternative to the traditional methods to solve the scattering problems.
Downloads
References
J. Jin, “Electromagnetic scattering from large, deep, and arbitrarily-shaped open cavities,” Electromagnetics, vol. 18, pp. 3-34, 1997.
H. Ling, S.-W. Lee, and R.-C. Chou, “Highfrequency RCS of open cavities with rectangular and circular cross sections,” IEEE Transactions on Antennas and Propagation, vol. 5, pp. 648- 654, 1992.
C. C. Lu and C. Luo, “Comparison of iteration convergences of SIE and VSIE for solving electromagnetic scattering problems for coated objects,” Radio Science, vol. 38, pp. 11/1-11/9, 2003.
A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference TimeDomain Method: Artech House, 2005.
J. M. Jin, The Finite Element Method in Electromagnetics: Wiley, 2002.
J. S. Hesthaven and T. Warburton, Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications: Springer, 2008.
N. Canouet, L. Fezoui, and S. Piperno, “Discontinuous Galerkin time-domain solution of Maxwell's equations on locally-refined nonconforming Cartesian grids,” COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 24, pp. 1381-1401, 2005.
E. Gjonaj and T. Weiland, “A projection penalization approach for the high-order DG-FEM in the time domain,” Radio Science, vol. 46, 2011.
S. D. Gedney, C. Luo, J. A. Roden, R. D. Crawford, B. Guernsey, J. A. Miller, T. Kramer, and E. W. Lucas, “The discontinuous Galerkin finite-element time-domain method solution of Maxwell's equations,” Applied Computational Electromagnetics Society Journal, vol. 24, pp. 129-142, 2009.
R. J. LeVeque, Finite Volume Methods for Hyperbolic Problems: Cambridge University Press, 2002.
J. Alvarez, S. G. Garcia, L. D. Angulo, and A. R. Bretones, “Computational electromagnetic tools for EMC in aerospace,” Marrakesh, 2011, pp. 1840-1844.
T. Warburton, “An explicit construction of interpolation nodes on the simplex,” Journal of Engineering Mathematics, vol. 56, pp. 247-262, 2006.
J. S. Hesthaven and T. Warburton, “Nodal highorder methods on unstructured grids. I. Timedomain solution of Maxwell's equations,” Journal of Computational Physics, vol. 181, pp. 186-221, 2002.
M. H. Carpenter and C. A. Kennedy, “Fourthorder 2N-storage Runge-Kutta schemes,” NASA Technical Memorandum 109112, 1994.
