• Title/Summary/Keyword: 3D Finite-difference

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Frequencies and Mode Shapes of Annular Plates tilth Variable Thickness by the Ritz Method in Three-Dimensional Analysis (변두께를 갖는 두꺼운 환형판의 삼차원적 리츠방법에 의한 진동수와 모드형상)

  • 양근혁;강재훈
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.5
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    • pp.89-100
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    • 2001
  • The Ritz method Is applied In a three-dimensional (3-D) analysis to obtain accurate frequencies for thick. linearly tapered. annular plates. The method is formulated for annular plates haying any combination of free or fixed boundaries at both Inner and outer edges. Admissible functions for the three displacement components are chosen as trigonometric functions in the circumferential co-ordinate. and a1gebraic polynomials in the radial and thickness co-ordinates. Upper bound convergence of the non-dimensional frequencies to the exact values within at least four significant figures is demonstrated. Comparisons of results for annular plates with linearly varying thickness are made with ones obtained by others using 2-D classical thin place theory. Extensive and accurate ( four significant figures ) frequencies are presented 7or completely free. thick, linearly tapered annular plates haying ratios of average place thickness to difference between outer radius (a) and inner radius (b) radios (h$_{m}$/L) of 0.1 and 0.2 for b/L=0.2 and 0.5. All 3-D modes are included in the analyses : e.g., flexural, thickness-shear. In-plane stretching, and torsional. Because frequency data liven is exact 7o a\ulcorner least four digits. It is benchmark data against which the results from other methods (e.g.. 2-D 7hick plate theory, finite element methods. finite difference methods) and may be compared. Throughout this work, Poisson\`s ratio $\upsilon$ is fixed at 0.3 for numerical calculations.s.

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A Study on the Numerical Radiation Condition in the Steady Wave Problem (정상파 문제의 방사조건에 관한 연구)

  • Lee, Gwang-Ho;Jeon, Ho-Hwan;Seong, Chang-Gyeong
    • Journal of Ocean Engineering and Technology
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    • v.12 no.2 s.28
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    • pp.97-110
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    • 1998
  • The numerical damping and dispersion error characteristics associated with difference schemes and a panel shift method used for the calculation of steady free surface flows by a panel method are an analysed in this paper. First, 12 finite difference operators used for the double model flow by Letcher are applied to a two dimensional cylinder with the Kelvin free surface condition and the numerical errors with these schemes are compared with those by the panel shift method. Then, 3-D waves due to a submerged source are calculated by the difference schemes, the panel shift method and also by a higher order boundary element method(HOBEM). Finally, the waves and wave resistance for Wigley's hull are calculated with these three schemes. It is shown that the panel shift method is free of numerical damping and dispersion error and performs better than the difference schemes. However, it can be concluded that the HOBEM also free of the numerical damping and dispersion error is the most stable, accurate and efficient.

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Time-domain 3D Wave Propagation Modeling and Memory Management Using Graphics Processing Units (그래픽 프로세서를 이용한 시간 영역 3차원 파동 전파 모델링과 메모리 관리)

  • Kim, Ahreum;Ryu, Donghyun;Ha, Wansoo
    • Geophysics and Geophysical Exploration
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    • v.19 no.3
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    • pp.145-152
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    • 2016
  • We used graphics processing units for an efficient time-domain 3D wave propagation modeling. Since graphics processing units are designed for massively parallel processes, we need to optimize the calculation and memory management to fully exploit graphics processing units. We focused on the memory management and examined the performance of programs with respect to the memory management methods. We also tested the effects of memory transfer on the performance of the program by varying the order of finite difference equation and the size of velocity models. The results show that the memory transfer takes a larger portion of the running time than that of the finite difference calculation in programs transferring whole 3D wavefield.

Numerical investigation of segmental tunnel linings-comparison between the hyperstatic reaction method and a 3D numerical model

  • Do, Ngoc Anh;Dias, Daniel;Oreste, Pierpaolo
    • Geomechanics and Engineering
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    • v.14 no.3
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    • pp.293-299
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    • 2018
  • This paper has the aim of estimating the applicability of a numerical approach to the Hyperstatic Reaction Method (HRM) for the analysis of segmental tunnel linings. For this purpose, a simplified three-dimensional (3D) numerical model, using the $FLAC^{3D}$ finite difference software, has been developed, which allows analysing in a rigorous way the effect of the lining segmentation on the overall behaviour of the lining. Comparisons between the results obtained with the HRM and those determined by means of the simplified 3D numerical model show that the proposed HRM method can be used to investigate the behaviour of a segmental tunnel lining.

The Probing of Underground Structures Using Ground Penetrating Radar (지하 탐사용 레이더를 이용한 매설된 구조물의 탐사)

  • Kim, D.H.;Cho, P.D.
    • Electronics and Telecommunications Trends
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    • v.15 no.5 s.65
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    • pp.86-93
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    • 2000
  • 지하 탐사용 레이더를 이용하여 지하에 매설된 구조물의 위치를 파악하고 그에 따른 근사 이미지의 추출 방법을 제안하였다. 기본원리는 구조물에 의해 산란되어 수신 안테나로 유입되는 펄스신호의 지연시간과 크기를 측정하는 데 있으며, 측정의 실용성을 위하여 레이더 탐색경로에 따른 수신신호의 절대치 적분 방법을 사용하였다. 일반적으로 지하매질은 침투 주파수에 따라서 다양한 분산 및 손실 특성을 나타내는데, 이러한 매질 특성은 다항 Debye 모델을 이용하여 기술되었다. 3차원 전파(電波) 전파(傳播)를 위한 시뮬레이션에는 FDTD(Finite Difference Time Domain) 방법을 사용하였다.

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.

EM Responses of Buried Conductive Pipes Calculated by 3-D Finite Element Method (3차원 FEM 모델링에 의한 수평 도전성 관로의 전자기 반응 특성)

  • Chung Ho-Joon;Jung Hyun-Key;Park Yeong-Sue;Jo Chul-Hyun
    • Geophysics and Geophysical Exploration
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    • v.3 no.2
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    • pp.48-52
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    • 2000
  • We have calculated and analyzed the electromagnetic responses of buried conductive pipes due to a horizontal magnetic dipole source on the pound using a three-dimensional (3-D) finite element method to provide useful guidelines for designing electromagnetic pipe locator and for field operation of the system. For single buried pipe, the horizontal component and the horizontal difference of the vertical component of magnetic field show peaks above the pipe. When comparing the width of response curves of both cases around the peak, horizontal difference of vertical component of magnetic field shows much narrower peak, 2 times narrower at a half of maximum amplitude, than that of horizontal component of magnetic field. Accordingly, we can pinpoint the horizontal location of pipe on the ground more accurately by measuring the horizontal difference of vertical component of magnetic fold. Moreover, it will have a merit in determining the depth of pipe, because the equation for depth estimation is defined just above the pipe. When there are two buried pipes separated by two meters with each other, the response of horizontal difference of vertical component of magnetic field has two separate peaks each of which is located above the pipe whereas horizontal magnetic field response has only one peak above the pipe just below the transmitter. Thus, when there exist more than a buried pipe, measuring the horizontal difference of vertical magnetic field can effectively detect not only the pipe under transmitter but also adjacent ones. The width of response curves also indicates higher resolving ability of horizontal difference of vertical component of magnetic field.

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Design of a low loss NxN waveguide grating router composed of multimode interference couplers and arrayed waveguide grating (다중모드 간섭결합기와 광도파로열로 구성된 저손실 NxN광도파로 격자 파장 라우터의 설계)

  • 문성욱;정영철
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.7
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    • pp.79-87
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    • 1997
  • Untill now, the most well-known cofiguration for waveguide grating router(WGR) is composed of radiative star couplers and arrayed waveguide grating(AWG), which usually suffer form the rdiation loss of around 3dB or more. Therefore, te improved design of WGRs is needed to reduce the loss. In ths paper, we propose a novel WGR composed of multimode interference couplers which have good unifiormity, fabrication tolerance, and very low excess loss, and suggest the efficient algorithm to find the proper path length differences of AWG for given channel spacing and channel assignment to each output prot. The simulated spectral responses of the proposed WGR using the finite difference beam propagation method (BPM) show that the excess loss is less than 0.3dB and the crosstalk less than -25dB in case of 4x4 WGR, and the excess loss less than 0.4dB and the crosstalk less than -25dB in case of 8x8 WGR for all the channel wavelengths.

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Numerical Analysis of the Mechanical and Hydraulic behavior of Concrete Plug in Underground Storage Cavern (지하저장공동에서의 콘크리트 플러그의 역학적 및 수리적 거동에 관한 수치해석적 연구)

  • 박병기;이희근;전석원;박의섭
    • Tunnel and Underground Space
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    • v.10 no.3
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    • pp.344-354
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    • 2000
  • The concrete plug in an underground cavern prevents the stored product (oil, gas, etc) from leaking and the excessive inflow of underground water, so it plays an important role in construction and operation of the storage cavern. Additionally, it should maintain its stability under every possible loading condition. Once the plug is constructed, the cavern is isolated from the external access. Therefore, mechanical and hydraulic consideration should be made in construction to fulfill its function. Therefore, in this study, numerical analyses were conducted to study the optimal shape and thickness of the plug with respect to the various conditions of installation depth, the shape of the plug, in-situ stress ratio (K), the condition of rock-plug interface, and the effect of Excavation Damaged Zone (EDZ). This paper also presents the effect of slot depth on the hydraulic behavior of the plug. These analyses were carried out by using the 2-dimensional finite difference code, rm FLAC, and the 3D code, rm FLAC$\^$3D/.

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A New Method to Estimate the Induced Electric Field in the Human Child Exposed to a 100 kHz-10 MHz Magnetic Field Using Body Size Parameters

  • Park, Young-Min;Song, Hye-Jin;Byun, Jin-Kyu
    • Journal of Magnetics
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    • v.19 no.2
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    • pp.174-180
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    • 2014
  • In this paper, a new and simple method is proposed to quickly estimate the induced electric field in the human child exposed to a 100 kHz-10 MHz magnetic field, for the sake of electromagnetic field (EMF) safety assessment. The quasi-static finite-difference time-domain (FDTD) method is used to calculate the induced electric fields in high resolution 3D human child models with various body size parameters, in order to derive the correction factor for the estimation equation. The calculations are repeated for various frequencies and incident angles of the magnetic field. Based on these calculation results, a new and simple estimation equation for the 99th percentile value of the body electric field is derived that depends on the body size parameters, and the incident magnetic field. The estimation errors were equal to or less than 5.1%, for all cases considered.