• Title/Summary/Keyword: 격자변환기법

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Numerical Analysis of Two-Dimensional Flow using Cut-cell method (Cut-cell 기법을 이용한 2차원 흐름의 수치해석)

  • Kim, Hyung-Jun;Kim, Su-Jin;Lee, Seung-Oh;Cho, Yong-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1258-1262
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    • 2007
  • 수치해석분야에서 가장 난해한 부분은 복잡한 지형을 표현할 수 있는 격자망을 쉽고 간편하게 생성하고 수치모형에 적용하는 것이다. 가장 쉽고 널리 적용되던 직사각형격자망의 한계를 극복하기 위하여 곡선좌표계를 이용하거나, 삼각형 또는 사각형의 불규칙 격자망을 적용하여 복잡한 지형을 표현하는 연구들이 시도되었다. 그러나, 곡선좌표계를 이용하여 지배방정식을 변환하는 방법은 지배방정식이 매우 복잡하고 수치모형의 구성이 난해하며, 불규칙 격자망을 이용한 방법은 계산영역을 적절히 표현하는 격자망을 구성하기 위해서 상당한 노력과 시간이 소요되는 단점이 있다. 이에, 직사각형의 격자망과 비구조 격자망의 장단점을 보완하여 수치격자 구성이 간편하고 지형을 정확히 표현할 수 있는 기법에 대한 연구가 필요한 단계에 이르게 되었다. 본 연구에서는 직사각형 격자를 기본으로 지형을 따라 계산격자를 분할하는 기법인 cut-cell기법을 이용하여 계산격자망을 구성하고, 그 적용성을 검토하였다.

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Flow Analysis of Gas Circuit Breakers for Developing the Small Current Interruption Performance (가스차단기의 소전류 차단성능 향상을 위한 유동해석)

  • Lee, Jong-Chul;Choi, Jong-Ung;Kang, Sung-Mo;Kim, Youn-Jea
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1961-1965
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    • 2003
  • The flow analysis is needed to verify the physical phenomena through interruption processes for improving the capacity and the reliability of gas circuit breakers. Moreover the small current interruption performance of GCBs could be predicted by coupling the flow characteristics with the electric field one. In this paper, the unsteady flow characteristics and the traveling trajectory are depicted with a commercial CFD code, PHOENICS, programmed for moving motion of objects. In order to validate computational results, the measured pressure data in cylinder and in front of arcing contact are compared with the test results of small current interruption.

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A Numerical Analysis on Flows Around a Moving Body Using a Mesh Transformation Method (격자변환기법을 이용한 이동물체 주위의 유동해석)

  • Kim, Tae-Gyun;Heo, Nam-Geon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.4
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    • pp.593-599
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    • 2001
  • A flow analysis is performed in the present study for the moving body problem by proposing a mesh transformation method for the movement of the body in the fluid medium. Unlike other moving mesh techniques, a mesh itself is not moving but changes its property as time marches in a mesh transformation method. The flow field results are compared with those by other moving mesh technique, and showed good agreements. The movement of a floatable body in the flow field caused by the moving body is also studied in the present study by using a mesh transformation technique and a fluid/structure interaction method.

A Study on the Interpolation Characteristics of the Scattered Geographic Data according to the Gridding methods (격자화 기법에 따른 이산지형정보의 보간특성 연구)

  • Lee, Yong-Chang
    • Journal of Korean Society for Geospatial Information Science
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    • v.4 no.2 s.8
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    • pp.173-180
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    • 1996
  • In a grid based data transformation, the different gridding methods provide different interpretations of scattered data because each method calculate grid node values using a different weighted mathematical algorithms. Therefore, it is necessary to review the interpolated characteristics of some gridding methods according to search distance, search area and search options before determing the best method with a data set. For this, in this paper, six different gridding methods with the same search conditions are applied to a scattered data obtained from sterro-plotter. The interpolated characteristics of the scattered geographic data considered through comparison of coincidence between the data point and the grid node being interpolated. And also, shows the real application of gridding methods through calculating volumes and creating cross sections.

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Applying Image Processing Algorithm to Raw LiDAR Data for Extracting Ground Information (LiDAR 원시자료에서의 지면정보 추출을 위한 영상처리기법 적용 연구)

  • Choi, Yun-Woong;Sohn, Duk-Jae;Cho, Gi-Sung
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.27 no.5
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    • pp.575-583
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    • 2009
  • Various algorithms and methods, related to preprocessing of LiDAR data, are being developed and proposed. These methods are two ways, one of them is to use the regular form such as DSM or the image converted from raw LiDAR data, and the other is to use raw LiDAR data directly. The image processing method is one of representative method for the regular grid form data. This method is easy to apply to a numerical analysis technique and has an advantage of modeling and noise elimination through smoothing, but it lose the information during the data conversion. This study apply the image processing method to the irregular raw LiDAR data directly for the extracting ground information with minimized information loss and evaluate the extracting accuracy of ground information.

Nonlinear Static Aeroelastic Analysis of a High-Aspect-Ratio Wing with Large Deflection Effects (큰 가로세로비를 가지는 날개의 대변형 효과를 고려한 비선형 정적 공탄성 해석)

  • Yu, Jae-Han;Lee, In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.3
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    • pp.31-36
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    • 2006
  • In this study, nonlinear static aeroelastic analysis system for a high-aspect-ratio wing are developed using the transonic small disturbance (TSD) and large deflection beam theory and validated. For the coupling between fluid and structure, the transformation of displacement from the structural mesh to aerodynamic one is performed by the shape function of the beam finite element and the inverse transformation of force by work equivalent load concept. Also, for the static aeroelastic analysis of the wing the use of TSD aerodynamics are justified. The validation of the system includes one of the efficient transformation methods of force and displacement.

A Simple Calculational Method by using Modified Von Mises Transformation applied to the Coaxial Turbulent Jet Mixing (유동함수를 이용한 난류제트혼합유동 계산에 관한 연구)

  • Choi Dong-Whan
    • Journal of the Korean Society of Propulsion Engineers
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    • v.9 no.2
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    • pp.97-104
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    • 2005
  • A simple but efficient grid generation technique by using the modified compressible form of stream function has been formulated. Transformation of a physical plane to a streamline plane, the Von Mises Transformation, has been widely used to solve the differential equations governing flow phenomena, however, limitation arises in low velocity region of boundary layer, mixing layer and wake region where the relatively large grid spacing is inevitable. Modified Von Mises Transformation with simple mathematical adjustment for the stream function is suggested and applied to solve the confined coaxial turbulent jet mixing with simple $\kappa-\epsilon$ turbulence model. Comparison with several experimental data of axial mean velocity, turbulent kinetic energy, and Reynolds shear stress distribution shows quite good agreement in the mixing layer except in the centerline where the turbulent kinetic energy distributions were somewhat under estimated. This formulation is strongly suggested to be utilized specially for free turbulent mixing layers in axisymmetric flow conditions such as the investigation of mixing behavior, jet noise production and reduction for Turbofan engines.

Application of Grid-based DAD Analysis Program According to Rainfall Spatial Distribution Technique (공간보간 기법에 따른 격자기반 DAD 분석 프로그램 적용)

  • Kim, Young-Kyu;Yu, Wan-Sik;Jeong, An-Chul;Jung, Kwan-Sue
    • Journal of Cadastre & Land InformatiX
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    • v.47 no.1
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    • pp.191-211
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    • 2017
  • Assessment of a storm is accomplished by the duration and storm area rather than a simple analysis given by the ground rain gauge stations. One of the best method for assessing storm is Depth-Area-Duration(DAD) of rainfall analysis. but existing DAD analysis method is likely to possible errors. Therefore, DAD analysis and its applicability were examined using a grid-based DAD analysis program that can reduce the possibility of errors in this study. Three spatial distribution techniques were used to analyze the applicability. Then, DAD analysis was performed using the converted grid-based rainfall data. As a result, it was possible to estimate the MAAR values by area for each duration, and showed high applicability in the rainfall data using ordinary kriging technique.

Area/free-surface relationship in the river cross-section (하천 횡단면에서 면적-수위 관계)

  • Hwang, Seung-Yong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.258-258
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    • 2019
  • 계산 격자에 기반하여 천수 흐름을 모의할 때, 그 격자에 담긴 물의 양을 정확하게 파악할 필요가 있다. 예를 들어, 초기조건으로 수위가 부여된다면 계산격자의 기하 특성에 맞추어 흐름 변수인 수심이나 흐름 단면적으로 바꾸어야하기 때문이다. 필요에 따라서는 모의 결과를 수위로 보이거나 격자 속 수심을 계산에 사용할 수도 있으므로 그 역변환도 고려되어야 한다. 2차원의 삼각형 계산격자에 대해서는 물의 부피와 수위 관계(volume/free-surface relationship)가 이미 정확(exact)하게 구명되어 있다(Hwang, 2017, J. KWRA). 그런데 1차원 문제의 횡단면에서 흐름 단면적과 수위의 관계(area/free-surface relationship)는 수위로부터 면적 환산에 대해서는 정확하나 그 역변환은 그렇지 않다. 매 시간 단계에서 갱신된 흐름 단면적으로부터 수위를 환산하기 위해 미리 작성된 면적-수위 자료를 이용한 선형 보간이 적용된다(Goodell, 2011, The RAS Solution). 이때, 환산 정확도는 자료의 해상도에 의존된다. 다행히 하천 횡단면 대부분을 채워 흐르는 홍수모의에서는 이 문제가 그리 심각하지는 않다. 심지어 수위가 복단면 저수로 턱에 걸쳐있어 흐름단면적이 급변하는 경우에도 환산 수위의 정확도는 크게 훼손되지 않는다. 그러나 미미한 환산 오차일지라도 그로 인해 수위가 저수로 턱을 넘거나 그보다 작을 수 있다. 이 경우, 홍수터의 잠김여부에 따라 수면폭(top width)이 실제 계산 결과에 비해 크게 달라질 수밖에 없다. 수면폭 오차는 그것을 이용하여 결정되는 수리 수심(hydraulic depth)이나 평균 하상고(mean bed level)의 산정에도 전파된다. 이 연구에서는 하천 횡단면에서 수위와 흐름 단면적 사이의 환산 정확도를 크게 높일 수 있는 기법을 제시하였다. 먼저 하천 횡단면에서 주어진 수위에 대해 흐름 단면적을 산정할 수 있는 알고리듬을 보였다. 또한, 횡단면에서 수위와 흐름 단면적의 관계가 단조 증가 함수(monotonically increasing function)임에 착안하여 그 역변환에 대해 해 찾기(root finding) 방법의 하나인 Brent 기법을 적용하였다. 이 기법은 주어진 구간에서 도함수가 알려져 있지 않은 경우에 대해서도 효과적으로 해를 찾을 수 있는 것으로 알려져 있다(Press et al., 2002, Numerical Recipes in C, 2nd Ed.). 내성천 하류 수계의 333개 단면에서 수면폭에 대한 상대 오차를 살펴보면, 선형 보간에 의한 기존 방법으로는 면적-수위 자료의 수가 1,000개가 되어도 그 최대치가 1% 이내에 들지 않은 반면, 이 연구에서 제시한 기법으로 면적-수위 자료 없이도 1% 이내로 줄어드는 것을 확인하였다. 다만, 반복 계산에 의한 계산 시간의 증대를 피할 수 없다. 미리 작성된 면적-수위 자료를 이용하면 계산 비용을 줄일 수 있으며, 약 35개의 구간으로 나누었을 때 비용 대비오차가 적절하였다. 이 연구는 한국건설기술연구원(주요사업 과제번호: 20190116-001)의 지원에 의한 것이다.

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Use of a Solution-Adaptive Grid (SAG) Method for the Solution of the Unsaturated Flow Equation (불포화 유동 방정식의 해를 위한 해적응격자법의 이용 연구)

  • Koo, Min-Ho
    • Journal of the Korean Society of Groundwater Environment
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    • v.6 no.1
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    • pp.23-32
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    • 1999
  • A new numerical method using solution-adaptive grids (SAG) is developed to solve the Richards' equation (RE) for unsaturated flow in porous media. Using a grid generation technique, the SAG method automatically redistributes a fixed number of grid points during the flow process, so that more grid points are clustered in regions of large solution gradients. The method uses the coordinate transformation technique to employ a new transformed RE, which is solved with the standard finite difference method. The movement of grid points is incorporated into the transformed RE, and therefore all computation is performed on fixed grid points of the transformed domain without using any interpolation techniques. Thus, numerical difficulties arising from the movement of the wetting front during the infiltration process have been substantially overcome by the new method. Numerical experiments for an one-dimensional infiltration problem are presented to compare the SAG method to the modified Picard method using a fixed grid. Results show that accuracy of a SAG solution using 41 nodes is comparable with the solution of the fixed grid method using 201 nodes, while it requires only 50% of the CPU time. The global mass balance and the convergence of SAG solutions are strongly affected by the time step size (Δt) and the weighting parameter (${\gamma}$) used for generating solution-adaptive grids. Thus, the method requires automated readjustment of Δt and ${\gamma}$ to yield mass-conservative and convergent solutions, although it may increase computational costs. The method can be effective especially for simulating unsaturated flow and other transport problems involving the propagation of a sharp-front.

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