• Title/Summary/Keyword: finite difference time domain

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Three-dimensional Finite-difference Time-domain Modeling of Ground-penetrating Radar Survey for Detection of Underground Cavity (지하공동 탐지를 위한 3차원 시간영역 유한차분 GPR 탐사 모델링)

  • Jang, Hannuree;Kim, Hee Joon;Nam, Myung Jin
    • Geophysics and Geophysical Exploration
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    • v.19 no.1
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    • pp.20-28
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    • 2016
  • Recently many sinkholes have appeared in urban areas of Korea, threatening public safety. To predict the occurrence of sinkholes, it is necessary to investigate the existence of cavity under urban roads. Ground-penetrating radar (GPR) has been recognized as an effective means for detecting underground cavity in urban areas. In order to improve the understanding of the governing physical processes associated with GPR wave propagation, and interpret underground cavity effectively, a theoretical approach using numerical modeling is required. We have developed an algorithm employing a three-dimensional (3D) staggered-grid finite-difference time-domain (FDTD) method. This approach allows us to model the full electromagnetic wavefield associated with GPR surveys. We examined the GPR response for a simple cavity model, and the modeling results showed that our 3D FDTD modeling algorithm is useful to assess the underground cavity under urban roads.

A Study on Natural Convection from Two Cylinders in a Cavity

  • Mochimaru Yoshihiro;Bae Myung-Whan
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1773-1778
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    • 2006
  • Steady-state natural convection heat transfer characteristics from cylinders in a multiply-connected bounded region are clarified. A spectral finite difference scheme (spectral decomposition of the system of partial differential equations, semi-implicit time integration) is applied in numerical analysis, with a boundary-fitted conformal coordinate system through a Jacobian elliptic function with a successive transformation to formulate a system of governing equations in terms of a stream function, vorticity and temperature. Multiplicity of the domain is expressed explicitly.

Construction of a CPU Cluster and Implementation of a 3-D Domain Decomposition Parallel FDTD Algorithm (CPU 클러스터 구축 및 3차원 공간분할 병렬 FDTD 알고리즘 구현)

  • Park, Sungmin;Chu, Kwang-Uk;Ju, Saehoon;Park, Yoon-Mi;Kim, Ki-Baek;Jung, Kyung-Young
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.25 no.3
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    • pp.357-364
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    • 2014
  • In this work, we construct a CPU cluster to implement a parallel finite-difference time domain(FDTD) algorithm for fast electromagnetic analyses. This parallel FDTD algorithm can reduce the computational time significantly and also analyze electrically larger structures, compared to a single FDTD counterpart. The parallel FDTD algorithm needs communication between neighboring processors, which is performed by the MPI(Message Passing Interface) library and a 3-D domain decomposition is employed to decrease the communication time between neighboring processors. Compared to a single-processor FDTD, the speed up factor of a-CPU-cluster-based parallel FDTD algorithm is investigated for the normal mode and the hypermode and finally analyze an electrically large concrete structure by the developed parallel algorithm.

A Study on the Analysis of Discontinuity of Microstrip Line Using FDTD/GPOF Method (FDTD/GPOF법을 이용한 Microstrip Line 불연속부의 해석에 관한 연구)

  • 김동일;이태형
    • Journal of the Korean Institute of Navigation
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    • v.22 no.1
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    • pp.15-22
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    • 1998
  • In this paper, discontinuity parts in microstrip line with $\lambda$/4 open stub and one in crank type have been anlayzed by using FDTD(Finite-Difference Time-Domain) analysis method. The noise components, in this case, are occred at the discontinuites of the given microstrip lines, the complex poles were extracted by the analysis using GPOF (Generalized Pencil-of Function) method from electric field of time domain. It has, then, been found that the noise level and the noise frequency components included in signal could be derived.

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Theoretical Analysis of Impact of Q-switch Rise Time on Output Pulse Performance in an Ytterbium-doped Actively Q-switched Fiber Laser (이터븀 첨가 능동형 Q-스위칭 광섬유 레이저에서 Q-스위치 상승 시간이 출력 펄스에 미치는 영향에 대한 이론적 분석)

  • Jeon, Jinwoo;Lee, Junsu;Lee, Ju Han
    • Korean Journal of Optics and Photonics
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    • v.24 no.2
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    • pp.58-63
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    • 2013
  • A theoretical analysis of the impact of rise time of a Q-switch on the output pulse performance is carried out in an Ytterbium-doped actively Q-switched fiber laser. The finite difference time domain (FDTD) method is used to numerically simulate the Q-switched fiber laser. It is shown that stable Gaussian-like pulse shape can be generated when the Q-switch rise time is increased and pulse repetition rate is enlarged.

Time-Domain Electric Field Integral Equation Solving for a Stable Solution of Electromagnetic Transient Scattering (안정된 전자파 과도 산란해를 얻기 위한 시간영역 전장 적분방정식 해석)

  • Jeong, Baek-Ho;Kim, Chae-Yeong
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.39 no.4
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    • pp.201-208
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    • 2002
  • In this paper, we present a new formulation using time-domain electric field integral equation (TD-EFIE) to obtain transient scattering response from arbitrarily shaped three-dimensional conducting bodies. The time derivative of the magnetic vector potential is approximated with a central finite difference and the scalar potential is time averaged by dividing it into two terms. This approach with an implicit method using central difference results in accurate and more stable transient scattering responses from conducting objects. Detailed mathematical steps are included and several numerical results are presented and compared with the inverse discrete Fourier transform (IDFT) of the frequency-domain solution.

A Dispersion Analysis for Minimum Grids in the Frequency Domain Acoustic Wave Equation (주파수영역 음향 파동방정식에서 최소 격자수 결정을 위한 격자분산 분석)

  • Jang Seong-Hyung;Shin Chang-Soo;Yoon Kwang-Jin;Suh Sang-Young;Shin Sung-Ryul
    • Geophysics and Geophysical Exploration
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    • v.3 no.2
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    • pp.39-47
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    • 2000
  • A great deal of computing time and a large computer memory are needed to solve wave equation in a large complex subsurface layers using the finite difference method. The computing time and memory can be reduced by decreasing the number of grid points per minimum wave length. However, the decrease of grids may cause numerical dispersion and poor accuracy. In this study we performed the grid dispersion analysis for several rotated finite difference operators, which was commonly used to reduce grids per wavelength with accuracy in order to determine the solution for the acoustic wave equation in frequency domain. The rotated finite difference operators were to be extended to 81, 121 and 169 difference stars and studied whether the minimum grids could be reduced to 2 or not. To obtain accuracy (numerical errors less than $1\%$) the following was required: more than 13 grids for conventional 5 point difference stars, 9 grids for 9 difference stars, 3 grids for 25 difference stars, and 2.7 grids for 49 difference stars. After grid dispersion analysis for the new rotated finite difference operators, more than 2.5 grids for 81 difference stars, 2.3 grids for 121 difference stars and 2.1 grids for 169 difference stars were needed. However, in the 169 difference stars, there was no solution because of oscillation of the dispersion curves in the group velocity curves. This indicated that the grids couldn't be reduced to 2 in the frequency acoustic wave equation. According to grid dispersion analysis for the determination of grid points, the more rotated finite difference operators, the fewer grid points. However, the more rotated finite difference operators that are used, the more complex the difference equation terms.

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Numerical Modeling of Antenna Transmission for Borehole Ground-Penetrating Radar -Code Development- (시추공 레이다를 위한 안테나 전파의 수치 모델링 -프로그램 개발-)

  • Chang, Han-Nu-Ree;Kim, Hee-Joon
    • 한국지구물리탐사학회:학술대회논문집
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    • 2006.06a
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    • pp.265-270
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    • 2006
  • High-frequency electromagnetic (EM) wave propagation phenomena associated with borehole ground-penetrating radar (GPR) surveys are complex. To improve the understanding of governing physical processes, we present a finite-difference time-domain solution of Maxwell's equations in cylindrical coordinates. This approach allows us to model the full EM wavefield associated with borehole GPR surveys. The algorithm can be easily implemented perfectly matched layers for absorbing boundaries, frequency-dependent media, and finite-length transmitter antenna.

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Dispersion Analysis of the Waveguide Structures by Using the Compact 2D ADI-FDTD (Compact 2D ADI-FDTD를 이용한 도파관 구조의 분산특성 연구)

  • 어수지;천정남;박현식;김형동
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.39 no.10
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    • pp.38-45
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    • 2002
  • This paper presents the new Compact 2D ADI-FDTD(Alternating-Direction Implicit Finite-Difference Time-Domain) method, where the time step is no longer restricted by the numerical stability condition. This method is an accelerating algorithm for the conventional Compact 2D FDTD method. To validate this algorithm, we have analyzed the dispersion characteristics of the hollow rectangular waveguide and the shielded microstrip line. The results of the proposed method are very well agreed with those of both the conventional analytic method and the Compact 2D FDTD method. The CPU time for analysis of this method is very much reduced compared with the conventional Compact 2D FDTD method. The proposed method is valuable as a fast algorithm in the research of dispersion characteristics of the waveguide structures.

Model-Based Detection of Pipe Leakage at Joints (모델 기반 파이프 연결부 누수 감지 시스템)

  • Kim, Taejin;Youn, Byeng D.;Woo, Sihyeong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.3
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    • pp.347-352
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    • 2015
  • Time domain reflectometry (TDR) is widely used for wire failure detection. It transmits a pulse that is reflected at the boundaries of different characteristic impedances. By analyzing the reflected signal, TDR makes it possible to locate the failure. In this study, TDR was used to detect the water leakage at a pipe joint. A wire attached to the pipe surface was soaked by water when a leak occurred, which affected the characteristic impedance of the wet part, resulting in a change in the reflected signal. To infer the leakage from the TDR signal, we first developed a finite difference time domain-based forward model that provided the output of the TDR signal given the configuration of the transmission line. Then, by solving the inverse problem, the locations of the leaks were found.