• Title/Summary/Keyword: 유한 차분 방법

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A Study on the Numerical Wave Propagation Properties of the Finite Difference-Time Domain(FD-TD) Method for EM Wave Problems (전자파 문제에 대한 시간영역-유한차분법의 수치파 전파모델의 성질에 관한 연구)

  • 김인석
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.8
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    • pp.1595-1611
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    • 1994
  • In this paper, the numerical wave propagation properties of the finite difference-time domain(FD-TD) method is investigated as a discrete model describing electromagnetic(EM) wave propagation phenomena. The leap-frog approximation of Maxwell's curl equations in time-space simulates EM wave propagation in terms of the numerical characteristic and the domain of dependence. A geometrical interpretation of the FD-TD numerical procedure is presented. The numerical dispersion error due to the leap-frog approximation and its dependence on the stability factor are illustrated. The FD-TD method using the leap-frog approximation is inherently a descriptive model. Thus, not only any physical picture about EM wave propagation phenomena can be drawn through this model, but also physical or engineering parameters in the frequency domain can be extracted from descriptive results. E-plane filter characteristics in the WR-28 rectangular waveguide and reflection property of an inductive iris in the WR-90 rectangluar waveguide extracted from simulation of the FD-TD model is included.

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B-Spline Representation of Active Contours by Dynamic Programming (동적 프로그래밍에 의한 활성 윤곽선의 B-스플라인 표현)

  • Kim, Dong-Geun
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.7
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    • pp.1962-1969
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    • 1999
  • Active contours are deformable energy minimizing curves controlled by internal energy and external energy. The internal energy is constraint to preserve a smooth curve, and the external energy guides the curve towards image features. B-spline representation of active contours can be of great benefits in the segmentation and description whose shape is characterized by its defining polygon or control points. Menet et al proposed B-spline representation of active contours based on dynamic programming. The method is simple and efficient by comparing over finite difference method.

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Optimization of Microstrip Line by Finite Difference Design Sensitivity Analysis (유한차분적 설계민감도 해석에 의한 마이크로 스트립 라인의 형상 최적화)

  • Kim, Chi-Hyoung;Han, Sang-Joon;Choi, Hong-Soon;Park, Il-Han
    • Proceedings of the KIEE Conference
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    • 2005.07c
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    • pp.2330-2332
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    • 2005
  • 마이크로 스트립 선로는 제작상의 편의성으로 인해 많은 형태의 초고주파 회로에 다양한 구조로 적용된다. 하지만 실제 설계과정에서 다양한 형상에 따른 전자기적 해석이 쉽지 않고, 구조상의 불연속성은 시스템의 성능을 감쇄 시키는 원인이 된다. 본 논문은 마이크로 스트립 라인의 전자파 특성을 해석하고, 이로 인해 최적의 형상을 찾는 방법을 제시한다. 이 최적화 방법으로 유한 차분법 설계민감도 해석 방법을 도입하여 형상을 변화 시키며, 전자파 해석 툴을 이용하여 해석된 결과를 바탕으로 설계민감도를 계산하고 수정하므로 형상 최적화를 이룬다.

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Numerical Analysis of EPB TBM Driving using Coupled DEM-FDM Part I : Modeling (개별요소법과 유한차분법 연계 해석을 이용한 EPB TBM 굴진해석 Part I : 모델링)

  • Choi, Soon-wook;Lee, Hyobum;Choi, Hangseok;Chang, Soo-Ho;Kang, Tae-Ho;Lee, Chulho
    • Tunnel and Underground Space
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    • v.30 no.5
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    • pp.484-495
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    • 2020
  • To numerically simulate the advance of EPB TBM, various type of numerical analysis methods have been adopted including discrete element method (DEM), finite element method (FEM), and finite difference method (FDM). In this paper, an EPB TBM driving model was proposed by using coupled DEM-FDM. In the numerical model, DEM was applied in the TBM excavation area, and contact properties of particles were calibrated by a series of triaxial tests. Since the ground around the excavation area was coupled with FDM, the horizontal stress considering the coefficient of earth pressure at rest could be applied. Also, the number of required particles was reduced and the efficiency of the analysis was increased. The proposed model can control the advance rate and rotational speed of the cutter head and screw conveyor, and derive the torque, thrust force, chamber pressure, and discharging during TBM tunnelling.

Study on effect of control functions according to interpolations for elliptic grid generation method (해석적 자동격자생성방법에서 보간방법에 따른 조절함수의 영향에 관한 연구)

  • Chae E. M.;Sah J. Y.
    • Journal of computational fluids engineering
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    • v.1 no.1
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    • pp.9-18
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    • 1996
  • This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.

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Study on effect of control functions according to interpolations for elliptic grid generation method (해석적 자동격자생성방법에서 보간방법에 따른 조절함수의 영향에 관한 연구)

  • Chae Eun-Mi;Sah Jong-Youb
    • 한국전산유체공학회:학술대회논문집
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    • 1995.10a
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    • pp.104-109
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    • 1995
  • This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.

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Numerical Analyses of Critical Buckling Loads and Modes of Anisotropic Laminated Composite Plates (비등방성 복합 적층판의 임계좌굴하중 및 모드의 수치 해석)

  • Lee, Sang Youl;Yhim, Sung Soon;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.451-461
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    • 1998
  • The solution of anisotropic plate via the classical methods is limited to relatively load and boundary conditions. If these conditions are more complex, the analysis becomes increasingly tedious and even impossible. For many plate problems of considerable practical interest, analytic solutions to the governing differential equations cannot be found. Among the numerical techniques presently available, the finite difference method and the finite element method are powerful numerical methods. The objective of this paper is to compare with each numerical methods for the buckling load and modes of anisotropic composite laminated plates considering shear deformation. In applying numerical methods to solve differential equations of anisotropic plates, this study uses the finite difference method and the finite element method. In determining the eigenvalue by Finite Difference Method, this paper represent good convergence compared with Finite Element Method. Several numerical examples and buckling modes show the effectiveness of various numerical methods and they will give a guides in deciding minimum buckling load and various mode shapes.

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A Study on the Signal Distortion Analysis using Full-wave Method at VLSI Interconnection (VLSI 인터커넥션에 대한 풀-웨이브 방법을 이용한 신호 왜곡 해석에 관한 연구)

  • 최익준;원태영
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.41 no.4
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    • pp.101-112
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    • 2004
  • In this paper, we developed a numerical analysis model by using ADI-FDTD method to analyze three-dimensional interconnect structure. We discretized maxwell's curl equation by using ADI-FDTD. Using ADI-FDTD method, a sampler circuit designed from 3.3 V CMOS technology is simplified to 3-metal line structure. Using this simplified structure, the time delay and signal distortion of complex interconnects are investigated. As results of simulation, 5∼10 ps of delay time and 0.1∼0.2 V of signal distortion are measured. As demonstrated in this paper, the full-wave analysis using ADI-FDTD exhibits a promise for accurate modeling of electromagnetic phenomena in high-speed VLSI interconnect.

Application of Expanding-cell FDTD Method to Microstrip-to-Waveguide Transition (Expanding-cell 유한차분법의 마이크로스트립-도파관 변환기에의 적용)

  • 강희진;최재훈
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.3
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    • pp.345-351
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    • 2000
  • In this paper, we design and analyze a Ka-band microstrip line to rectangular waveguide transition using the expanding-cell FDTD method. The transition under investigation consists of a ridged waveguide, microstrip line, and $\lambda$/4 Chebyshev impedance transformer. To improve the accuracyand efficiency, the expanding-cell FDTD method is applied to analyze the characteristics of a ridged waveguide impedance transformer. To verify the accuracy of the expanding-cell FDTD method, S parameters of the analyzed transition are compared with those of experimental data. The efficiency of the present approach is verified by comparing the computational time for expanding-cell and that for fine cell. The relation between the number of step and operation bandwidth is analyzed by comparing the characteristics of four and three step Chebyshev waveguide impedance transformer.

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Time Domain Acoustic Propagation Analysis Using 2-D Pseudo-spectral Modeling for Ocean Environment (해양환경에서 2차원 유사 스펙트럴 모델링을 이용한 시간 영역 음 전달 해석)

  • Kim Keesan;Lee Keunhwa;Seong Woojae
    • The Journal of the Acoustical Society of Korea
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    • v.23 no.8
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    • pp.576-582
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    • 2004
  • A computer code that is based on the Pseudo-spectral finite difference algorithm using staggered grid is developed for the wave propagation modeling in the time domain. The advantage of a finite difference approximation is that any geometrically complicated media can be modeled. Staggered grids are advantageous as it provides much more accuracy than using a regular grid. Pseudo-spectral methods are those that evaluate spatial derivatives by multiplying a wavenumber by the Fourier transform of a pressure wave-field and performing the inverse Fourier transform. This method is very stable and reduces memory and the number of computations. The synthetic results by this algorithm agree with the analytic solution in the infinite and half space. The time domain modeling was implemented in various models. such as half-space. Pekeris waveguide, and range dependent environment. The snapshots showing the total wave-field reveals the Propagation characteristic or the acoustic waves through the complex ocean environment.