• Title/Summary/Keyword: 차분법

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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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Novel 2-D FDTD Scheme with Isotropic Dispersion and Enhanced Stability (등방성 분산 특성과 개선된 시간 증분을 가지는 2차원 시간 영역 유한 차분법)

  • Koh Il-Suek;Kim Hyun;Yook Jong-Gwan
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.17 no.2 s.105
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    • pp.165-170
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    • 2006
  • A two dimensional(2-D) finite-difference time-domain(FDTD) method based on a novel finite difference scheme is developed to eliminate the numerical dispersion errors. In this paper, numerical dispersion and stability analysis of the new scheme are given, which show that the proposed method is nearly dispersionless, and stable for a larger time step than the standard FDTD method.

Numerical simulation of upper convected maxwell fluid flow through planar 4:1 contraction (평면 4:1 수축을 지나는 어퍼 콘벡티트 맥스웰유체 유동의 수치 시뮬레이션)

  • 송진호;유정열
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.1
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    • pp.160-169
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    • 1987
  • Numerical simulation of the flow of upper convected Maxwell fluid through planar 4:1 contraction has been performed using type dependent difference apprximation of vorticity equation. For creeping flow assumption, the numerical convergence has been achieved up to much higher values of elasticity parameter than those obtained by conventional finite difference method. For non-vanishing Reynolds number flow, it is shown that the corner vortices disappear, which is in good qualitative agreement with extant experimental results. In doing so, spatial distributions of stream function, vorticity and stresses are considered in relation to change of type of vorticity.

Finite Difference Method on Consolidation under Time Dependent Loading (점증하중에 의한 압밀의 유한차분해석)

  • Lee, Seung-Hyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.4
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    • pp.1895-1899
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    • 2012
  • Formulation of finite difference method for analyzing consolidation were carried out. It can be seen that the differences in settlement with time obtained by FDM and Terzaghi method are diminished by fine discretization of time increment. Excess pore pressures predicted by the derived finite difference equation were same as those calculated by Olson's method. Predicted time-settlement behavior from the derived finite difference method were almost same as those calculated by Terzaghi's method and Olson's method. Analysis results obtained from the assumed multi-step time dependent loading are thought to be reasonable.

Numerical Techniques for Modeling of Ultrasonic Testing - The Finite Difference and Finite Element Methods (초음파검사의 수치적 모델링 기법 - 유한차분법 및 유한요소법)

  • Yim, Hyun-June;Yoo, Seung-Hyun
    • Journal of the Korean Society for Nondestructive Testing
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    • v.20 no.2
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    • pp.116-129
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    • 2000
  • Due to the great complexity of the physical phenomena involved in most ultrasonic nondestructive testing, the numerical method is effective in many cases of their theoretical modeling. A brief overview is provided in this paper of the numerical methods used in modeling ultrasonic nondestructive testing, with an emphasis on the finite difference and the finite element methods. The procedures of execution, special considerations required, and some previous research results of the finite difference and the finite element methods are presented, with a rather extensive list of work reported in the literature. These numerical modeling techniques for ultrasonic nondestructive testing are expected to be more reliable and more convenient, as a result of the continuing technological development of computers.

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Improved efficiency of numerical modeling using the expanding domain method with a logarithmic grid (영역확장법 및 로그격자를 이용한 수치모델링 효율 향상 연구)

  • Hong, Bo-Ram;Bae, Ho-Seuk;Ha, Wan-Soo;Chung, Woo-Keen
    • Journal of Advanced Marine Engineering and Technology
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    • v.40 no.1
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    • pp.75-80
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    • 2016
  • Numerical modeling based on the finite difference method has been widely used with improved computer technology. However, high-capacity computing resources are required for this technique. To overcome this limitation, we propose an algorithm the employs a logarithmic grid in conjunction with the expanding domain method. The proposed algorithm was verified through comparison with numerical results obtained with a conventional method. The results confirmed that our algorithm can improve computational efficiency.

Function Optimization and Event Clustering by Adaptive Differential Evolution (적응성 있는 차분 진화에 의한 함수최적화와 이벤트 클러스터링)

  • Hwang, Hee-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.5
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    • pp.451-461
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    • 2002
  • Differential evolution(DE) has been preyed to be an efficient method for optimizing real-valued multi-modal objective functions. DE's main assets are its conceptual simplicity and ease of use. However, the convergence properties are deeply dependent on the control parameters of DE. This paper proposes an adaptive differential evolution(ADE) method which combines with a variant of DE and an adaptive mechanism of the control parameters. ADE contributes to the robustness and the easy use of the DE without deteriorating the convergence. 12 optimization problems is considered to test ADE. As an application of ADE the paper presents a supervised clustering method for predicting events, what is called, an evolutionary event clustering(EEC). EEC is tested for 4 cases used widely for the validation of data modeling.

Two-dimensional Resistivity Modeling Using Boundary Elements Method (경계 요소법을 이용한 2차원 비저항 모델링)

  • 김형수
    • The Journal of Engineering Geology
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    • v.6 no.3
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    • pp.119-130
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    • 1996
  • The theory and numerical technique using boundary elements method (BEM) are given to solve 2-dimensional resistivity problems. Potential distributions from homogeneous resistivity model and layered model are calculated by using BEM for a point source of current injection. The potential distributions of BEM are compared with those of finite difference method (FDM) and finite elements method (FEM). Among the three numerical methods to solve 2-dimensional resistivity problem, it is proved that BEM is more efficient tool than FDM and FEM in consideration of computing storage and time as weU as the accuracy of solutions.

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Indoor Propagation Channel Modeling Using the Finite Difference Time Domain Method (시간영역 유한차분법을 이용한 실내 전파 채널 모델링)

  • Chung, Sun-Oh;Lim, Yeong-Seog
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.9
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    • pp.1847-1853
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    • 2011
  • Analysis of an indoor propagation channel has conventionally used the ray-tracing method. But, in this paper, we had modelling the channel for three dimensional indoor structure by the finite difference time domain method for three dimensional full wave analysis. An excitation signal of the FDTD method used plane wave. The plane wave was excited using the total field/scattered field method. And absorbing boundary condition used the perfectly matched layer method with 7 layers. An living room for the simulation of indoor channel modeling is surrounded the wall that be composed of the wood, the conductor, the glass and concrete. When there are furniture in the living room or not, it were simulated, respectively. As simulation results, we could identify the fading effect of multipath at indoor propagation environment, calculated mean excess delay and rms delay spread for the receiver design.

Three-dimensional Electromagnetic Modeling in Frequency Domain (주파수영역 전자법의 3차원 모델링)

  • Jang, Hannuree;Kim, Hee Joon
    • Geophysics and Geophysical Exploration
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    • v.17 no.3
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    • pp.163-170
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    • 2014
  • Development of a modeling technique for accurately interpreting electromagnetic (EM) data is increasingly required. We introduce finite difference (FD) and finite-element (FE) methods for three-dimensional (3D) frequency-domain EM modeling. In the controlled-source EM methods, formulating the governing equations into a secondary electric field enables us to avoid a singularity problem at the source point. The secondary electric field is discretized using the FD or FE methods for the model region. We represent iterative and direct methods to solve the system of equations resulting from the FD or FE schemes. By applying the static divergence correction in the iterative method, the rate of convergence is dramatically improved, and it is particularly useful to compute a model including surface topography in the FD method. Finally, as an example of an airborne EM survey, we present 3D modeling using the FD method.