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求解三維問題的區(qū)域分解時域有限差分方法

許鋒,  洪偉,  周后型

許鋒, 洪偉, 周后型. 求解三維問題的區(qū)域分解時域有限差分方法[J]. 電子與信息學(xué)報, 2003, 25(8): 1114-1119.
引用本文: 許鋒, 洪偉, 周后型. 求解三維問題的區(qū)域分解時域有限差分方法[J]. 電子與信息學(xué)報, 2003, 25(8): 1114-1119.
Xu Feng, Hong Wei, Zhou Houxing . The domain decomposition FDTD algorithm (DD-FDTD) for three-dimensional complex problems[J]. Journal of Electronics & Information Technology, 2003, 25(8): 1114-1119.
Citation: Xu Feng, Hong Wei, Zhou Houxing . The domain decomposition FDTD algorithm (DD-FDTD) for three-dimensional complex problems[J]. Journal of Electronics & Information Technology, 2003, 25(8): 1114-1119.

求解三維問題的區(qū)域分解時域有限差分方法

The domain decomposition FDTD algorithm (DD-FDTD) for three-dimensional complex problems

  • 摘要: 該文提出一種用于三維復(fù)雜問題的區(qū)域分解時域有限差分算法(DD-FDTD)。依據(jù)待解三維復(fù)雜問題的特點,將其分解為幾個子區(qū)域。每個子域中的問題相對簡單,可采用適合于該區(qū)域的共形網(wǎng)格進(jìn)行劃分計算,通過插值再修正誤差的辦法,把各個子區(qū)域綜合起來,獲得原問題的解。這樣,應(yīng)用區(qū)域分解的思想,簡化了復(fù)雜的問題。修正誤差的方法,使本算法得以實現(xiàn)并大幅度提高了計算精度。采用本算法對三維口徑天線問題進(jìn)行了分析計算并與實測數(shù)據(jù)進(jìn)行了比對,驗證了算法的正確性。
    Abstract: The Domain Decomposition FDTD (DD-FDTD) method is presented for solving complex 3-D problems and improving the accuracy of solutions. According to the features of the problem, the original domain is decomposed into several sub-domains. In each sub-domain, the conforrnal meshes are created in local coordinates and the FDTD computation is carried out independently in local meshes. In the iteration procedure of FDTD, the data are exchanged between adjacent sub-domains with overlapped meshes. An interpolating and error-modifying scheme proposed here integrates the sub-domains and leads to a more exact solution. A complex 3-D aperture antenna problem is calculated by using this method and the accuracy of the solution validates the usefulness and exactness of this method.
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  • K.S. Yee, Numerical solution of initial boundary value problems involving Maxwells equations in isotropic media, IEEE Trans. on Antennas Propagat., 1966, AP-14(5), 302-307.[2]R. Holland, Finite-difference solutions of Maxwells equations in generalized nonorthogonal coordinates, IEEE Trans. on Nucl. Sci., 1983, NS-30(6), 4589-4591.[3]J.F. Lee, R. Palandech, R. Mittra, Modeling three-dimensional discontinuities in waveguides using nonorthogonal FDTD algorithm, IEEE Trans. on Microwave Theory Tech., 1992, MTT-40(2), 346-352.[4]T.G. Jurgens, A. Talflove, K. Umashanker, T. G. Moore, Finite-difference time-domain modeling of curved surfaces, IEEE Trans. on Antennas Propagat., 1992, AP-40(4), 357-366.[5]J. Fang, J. Ren, A locally conformed finite-difference time-domain algorithm of modeling arbitrary shape planar metal strips, IEEE Trans. on Microwave Theory Tech., 1993, MTT-41(5), 830-838.[6]S.S. Zivanovic, K. S. Yee, K. K. Mei, A subgridding method for the time-domain finite-difference method to solve Maxwells equations, IEEE Trans. on Microwave Theory and Tech., 1991, MTT-39(3), 471-479.[7]K.S. Yee, J. S. Chen, A. H. Chang, Conformal Finite-Difference Time-Domain (FDTD) with overlapping grid, IEEE Trans. on Antennas Propagat., 1992, AP-40(9), 1068-1075.[8]R.B. Wu, T. Itoh, Hybrid finite-difference time-domain modeling of curved surfaces using tetrahedral edge elements, IEEE Trans. on Antennas Propagat., 1997, AP-45(8), 1302-1309.[9]D. Koh, H. Lee, T. Itoh, A hybrid full-wave analysis of via-hole grounds using finite-difference and finite-element time-domain methods, IEEE Trans. on Microwave Theory and Tech., 1997,MTT-45(12), 2217-2222.[10]許鋒,洪偉,童創(chuàng)明,區(qū)域分解時域有限差分方法(DD-FDTD)及其在散射問題中的應(yīng)用,電子學(xué)報,2001,29(12),1642-1645.[11]K. K. Mei, J. Fang, Superabsorption - A nethod to improve absorbing boundary conditions,IEEE Trans. on Antennas Propagat., 1992, AP-40(9), 1001-1010.[12]Xiaolei Zhang, K. K. Mei, Time-Domain finite difference approach to the calculation of the frequency-dependent characteristics of microstrip discontinuities, IEEE Trans. on Microwave Theory and Tech., 1988, MTT-36(12), 1775-1787.[13]P. Mezzanotte, L. Roselli, R. Sorrentino, A simple way to model curved metal boundaries in FDTD algorithm avoiding staircase approximation, IEEE Microwave and Guided Wave Letters,1995, 5(8), 267-269.
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出版歷程
  • 收稿日期:  2002-03-15
  • 修回日期:  2002-09-23
  • 刊出日期:  2003-08-19

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