• Title/Summary/Keyword: 2차원 계산

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Computation of Free Surface Displacement for Water Waves by Asymptotic Approximations (점근 근사법에 의한 파랑변위 계산)

  • 서승남
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.1
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    • pp.12-22
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    • 1994
  • Time evolution of linear water waves on a constant depth generated by a disturbance is analyzed by asymptotic methods; stationary phase, steepest descents and leading wave approximation. In order to verify the derived formulae of surface displacements for 1-D and 2-D waves. surface displacements are calculated and plotted from both the formulae and a numerical integration. The existing results for surface displacements are verified in which the leading amplitude of 1-D waves during the evolution decays as f- T/B, the rest of the wavetrain as t$^{-1}$ 2/ and the rest of the wavetrain of 2-D waves as t-1. But it is shown that the leading amplitude of 2-D waves decays as t 5/6 which is different from Kajiura's result t$^{-4}$ 3/.

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Development of Urban Flooding Model: Coupling to EPA-SWMM Engine and Surface Flow Path Algorithm (EPA-SWMM과 지표수 흐름방향 결정 알고리즘을 결합한 도시침수 모형의 개발)

  • Lee, Seonmin;Kim, JongChun;Yoon, Hanui
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.305-305
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    • 2021
  • XP-SWMM은 EAP-SWMM의 Runoff 기능을 보완하고 2D 해석 기능을 새롭게 추가하여 만든 외산(XP Solutions) 프로그램으로 도시유역 유출량 산정, 우수관거 추적 등과 같은 모의가 가능한 종합 모형이다. 그 중 2차원 분석 기능(2D XP-SWMM)은 연산 결과를 Tu-Flow 모형에 대입한 도시침수 해석모형으로 실무에서 주로 사용되고 있다. 그러나 XP-SWMM은 수량 부분 외에도 수질 부분의 다양한 모형이 통합되어 있어 라이센스 가격이 상당히 높고, 국내 환경에 적합한 모형 수정 등 기술지원을 받기 어렵다는 단점을 갖고 있다. 또한, 실무 활용성이 높은 2차원 분석기능의 경우 모의에 소요되는 시간이 크다는 한계점을 갖고 있다. 2D XP-SWMM 연산의 소요시간이 큰 주요 원인은 계산 시간간격마다 큰 셀수의 행렬 계산을 반복하기 때문이며, 격자를 촘촘하게 설정할수록(행렬의 수가 증가할수록) 수치해석에 소요되는 시간은 기하급수적으로 늘어나게 된다. 2D XP-SWMM 연산은 편미분방정식을 계산하는 모형으로 반복법을 채택하고 있기 때문에 짧은 시간내에 침수해석을 진행해야하는 웹기반 초단기 홍수예경보 시스템 등에 활용하기에는 적합하지 않다. 본 연구에서는 2D XP-SWMM 보다 연산속도를 향상시킨 2차원 도시침수 모형을 개발하였다. 기존 XP-SWMM 중심의 실무 적용성을 유지하고자 XP-SWMM과 동일하게 EPA-SWMM 엔진을 활용하였고 DEM 기반의 지표수 흐름방향 결정 알고리즘을 결합하였다. 본 연구에서 개발한 도시침수 모형 결과를 울산광역시, 청주시 등 도심지에서 발생한 과거 침수피해의 양상과 비교하여 그 타당성을 검증하였다.

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A Surface Panel Method for the Analysis of Hydrofoils wih Emphasis on Local Flows around the Leading and Trailing Edges (앞날 및 뒷날 유동 특성을 고려한 표면양력판 이론에 의한 2차원수중익 단면해석)

  • Jin-Tae,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.26 no.3
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    • pp.41-50
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    • 1989
  • A basic formulation of the panel method, which is based on the potential field formulation, is reviewed for the case of two-dimensional hydrofoil problems. Numerical procedures to improve the computational efficiency of the panel method are suggested. By investigating local behavior of the flow around the trailing edge, a wedge type Kutta condition is formulated. By subdividing the trailing edge panels, where dipole strengths of the subdivided panels follow the local behavior of the potential values of the flow outside a wedge, the circulation around a hydrofoil is calculated accurately with a relatively small number of panels. The subdividing technique to improve the accuracy of the numerical Kutta condition is proved to be efficient. A local behavior of the flow around the leading edge is also investigated. By matching the flow around the leading edge with that around a parabola, a very accurate velocity distribution is obtained with relatively small number of panels. An accurate prediction of the stagnation point and the pressure distribution near the leading edge may contribute to improve the accuracy of cavity predictions and boundary layer calculations around hydrofoils.

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Optimal Design of 2-D Separable Denominator Digital Filters in Spatial Domain (공간영역에서의 2차원 분모분리형 디지틀 필터의 최적설계)

  • 정남채;문용선;박종안
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.4
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    • pp.387-397
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    • 1992
  • The spatial domain design of 2-dimensional separable denominator digital filters(SDDF) based on the reduced dimensional decomposition can be realized when the given 2-D impulse response specifications are decomposed into a pair of 1-D specifications via singular value decompositions(SVD). Because of use of the balaned approximation and equivalent transform as 1-D design algorithm, 2-D design algorithm retains the advantage that is numerically stable and can minimize quantization errors. In this paper in order to analyze and reduce these errors, minimum comfficient quantization realization is directly derived from impulse response specification. And using the equivalent trans form relation between mininum coefficient quantization error and minimum roundoff error realizations, we optimally realize a SDDF. This algorithm is analyzed by the simulation, which shows that it is superior to direct or balanced realization in quantization errors.

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$Al_2O_3$-PTFE Composite Thick Films Using Aerosol Deposition and Calculation of $Al_2O_3$ Contents

  • Kim, Hyeong-Jun;Kim, Yun-Hyeon;Nam, Song-Min
    • Proceedings of the Korean Vacuum Society Conference
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    • 2010.02a
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    • pp.112-112
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    • 2010
  • 최근 세라믹스의 고온소결과정 없이 상온 후막제조가 가능한 에어로졸 데포지션법이 개발되어 이를 응용한 다양한 연구들이 진행되고 있다. 본 연구에서는 차세대 3차원 초고밀도 집적용연성(flexible)기판재료로서 $Al_2O_3$-PTFE(polytetrafluoroethylene) 복합체를 에어로졸 데포지션을 이용하여 상온제조 하였으며, 제조된 복합체 내의 $Al_2O_3$ 함량계산에 관한 연구를 진행하였다. 제조된 복합체는 기존의 세라믹만의 $Al_2O_3$ 후막에 비하여 PTFE의 첨가로 인한 잔류응력 감소효과가 있음이 확인되었으며 SEM, TEM 등 미세구조 분석을 통하여 충격고화 시 파우더의 미립화감소를 확인할 수 있었다. 또한, 공정의 최적화를 위한 분석 시 중요한 요소인 복합체 내의 세라믹 함량을 간편한 전기적 특성 측정을 통하여 계산하는 방법에 대한 연구를 진행하였다. 이를 위하여 이종 물질의 혼합에 관한 이론인 Hashin-Shtrikman bound theory와 3차원 정전장 해석 시뮬레이션을 병행하여 계산의 오차범위를 산출하고 실제 제조된 복합체 내의 $Al_2O_3$ 함량을 5 vol.% 이내의 오차로 측정할 수 있었다.

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Video Image Mosaicing Technique Using 3 Dimensional Multi Base Lines (3차원 다중 기선을 사용만 비데오 영상 모자이크 기술)

  • 전재춘;서용철
    • Korean Journal of Remote Sensing
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    • v.20 no.2
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    • pp.125-137
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    • 2004
  • In case of using image sequence taken from a moving camera along a road in an urban area, general video mosaicing technique based on a single baseline cannot create 2-D image mosaics. To solve the drawback, this paper proposed a new image mosaicing technique through 3-D multi-baselines that can create image mosaics in 3-D space. The core of the proposed method is that each image frame has a dependent baseline, an equation of first order, calculated by using ground control point (GCP) of optical flows. The proposed algorithm consists of 4 steps: calculation of optical flows using hierarchical strategy, calculation of camera exterior orientation, determination of multi-baselines, and seamless image mosaics. This paper realized and showed the proposed algorithm that can create efficient image mosaics in 3-D space from real image sequence.

3D Object Extraction Algorithm Based on Hierarchical Approach Using Reduced Windowed Fourier Phase (간소화된 윈도우 푸리에 위상을 이용한 계층적 접근기반의 3차원 객체 추출 기법)

  • Min, Gak;Han, Kyu-Phil;Lee, Ky-Soo;Ha, Yeong-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.8A
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    • pp.779-785
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    • 2002
  • This paper presents a phase-based stereo matching algorithm in order to efficiently extract 3-dimensional objects from two 2D images. Conventional phase-based methods, especially using windowed Fourier phases, inherit good properties in the case of hierarchical approaches, because they basically use a multi-resolution phase map. On the contrary, their computational costs are very heavy. Therefore, a fast hierarchical approach, using multi-resolution phase-based strategy and reducing the redundancy of phase calculations, is proposed in this pare. In addition, a structural matching algorithm on the phase domain is adopted to improve the matching quality. In experimental results, it is shown that the computation loads are considerably reduced about 8 times and stable outputs are obtained.

Implicit Moving Least Squares Difference Method for 1-D Moving Boundary Problem (1차원 자유경계문제의 해석을 위한 Implicit 이동최소제곱 차분법)

  • Yoon, Young-Cheol
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.5
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    • pp.439-446
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    • 2012
  • This paper presents an implicit moving least squares(MLS) difference method for improving the solution accuracy of 1-D free boundary problems, which implicitly updates the topology change of moving interface. The conventional MLS difference method explicitly updates the moving interface; it requires no iterative solution procedure but results in the loss of accuracy. However, the newly developed implicit scheme makes the total system nonlinear involving iterative solution procedure, but numerical verification show that it dramatically elevates the solution accuracy with moderate computation increase. Through numerical experiments for melting problems having moving singularity, it is verified that the proposed method can achieve the second order accuracy.

A Study of a Non-commercial 3D Planning System, Plunc for Clinical Applicability (비 상업용 3차원 치료계획시스템인 Plunc의 임상적용 가능성에 대한 연구)

  • Cho, Byung-Chul;Oh, Do-Hoon;Bae, Hoon-Sik
    • Radiation Oncology Journal
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    • v.16 no.1
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    • pp.71-79
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    • 1998
  • Purpose : The objective of this study is to introduce our installation of a non-commercial 3D Planning system, Plunc and confirm it's clinical applicability in various treatment situations. Materials and Methods : We obtained source codes of Plunc, offered by University of North Carolina and installed them on a Pentium Pro 200MHz (128MB RAM, Millenium VGA) with Linux operating system. To examine accuracy of dose distributions calculated by Plunc, we input beam data of 6MV Photon of our linear accelerator(Siemens MXE 6740) including tissue-maximum ratio, scatter-maximum ratio, attenuation coefficients and shapes of wedge filters. After then, we compared values of dose distributions(Percent depth dose; PDD, dose profiles with and without wedge filters, oblique incident beam, and dose distributions under air-gap) calculated by Plunc with measured values. Results : Plunc operated in almost real time except spending about 10 seconds in full volume dose distribution and dose-volume histogram(DVH) on the PC described above. As compared with measurements for irradiations of 90-cm 550 and 10-cm depth isocenter, the PDD curves calculated by Plunc did not exceed $1\%$ of inaccuracies except buildup region. For dose profiles with and without wedge filter, the calculated ones are accurate within $2\%$ except low-dose region outside irradiations where Plunc showed $5\%$ of dose reduction. For the oblique incident beam, it showed a good agreement except low dose region below $30\%$ of isocenter dose. In the case of dose distribution under air-gap, there was $5\%$ errors of the central-axis dose. Conclusion : By comparing photon dose calculations using the Plunc with measurements, we confirmed that Plunc showed acceptable accuracies about $2-5\%$ in typical treatment situations which was comparable to commercial planning systems using correction-based a1gorithms. Plunc does not have a function for electron beam planning up to the present. However, it is possible to implement electron dose calculation modules or more accurate photon dose calculation into the Plunc system. Plunc is shown to be useful to clear many limitations of 2D planning systems in clinics where a commercial 3D planning system is not available.

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Nonlinear Vortical Forced Oscillation of Floating Bodies (부유체의 대진폭 운동에 기인한 동유체력)

  • 이호영;황종흘
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.2
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    • pp.86-97
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    • 1993
  • A numerical method is developed for the nonlinear motion of two-dimensional wedges and axisymmetric-forced-heaving motion using Semi-Largrangian scheme under assumption of potential flows. In two-dimensional-problem Cauchy's integral theorem is applied to calculate the complex potential and its time derivative along boundary. In three-dimensional-problem Rankine ring sources are used in a Green's theorem boundary integral formulation to salve the field equation. The solution is stepped forward numerically in time by integrating the exact kinematic and dynamic free-surface boundary condition. Numerical computations are made for the entry of a wedge with a constant velocity and for the forced harmonic heaving motion from rest. The problem of the entry of wedge compared with the calculated results of Champan[4] and Kim[11]. By Fourier transform of forces in time domain, added mass coefficient, damping coefficient, second harmonic forces are obtained and compared with Yamashita's experiment[5].

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