• Title/Summary/Keyword: 3차원 압축성 흐름

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Diagonalized Approximate Factorization Method for 3D Incompressible Viscous Flows (대각행렬화된 근사 인수분해 기법을 이용한 3차원 비압축성 점성 흐름 해석)

  • Paik, Joongcheol
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.3B
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    • pp.293-303
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    • 2011
  • An efficient diagonalized approximate factorization algorithm (DAF) is developed for the solution of three-dimensional incompressible viscous flows. The pressure-based, artificial compressibility (AC) method is used for calculating steady incompressible Navier-Stokes equations. The AC form of the governing equations is discretized in space using a second-order-accurate finite volume method. The present DAF method is applied to derive a second-order accurate splitting of the discrete system of equations. The primary objective of this study is to investigate the computational efficiency of the present DAF method. The solutions of the DAF method are evaluated relative to those of well-known four-stage Runge-Kutta (RK4) method for fully developed and developing laminar flows in curved square ducts and a laminar flow in a cavity. While converged solutions obtained by DAF and RK4 methods on the same computational meshes are essentially identical because of employing the same discrete schemes in space, both algorithms shows significant discrepancy in the computing efficiency. The results reveal that the DAF method requires substantially at least two times less computational time than RK4 to solve all applied flow fields. The increase in computational efficiency of the DAF methods is achieved with no increase in computational resources and coding complexity.

Appling Multi-dimensional Limiting Process (MLP) to shallow water flow simulation (MLP 기법을 이용한 천수흐름 수치모의)

  • An, Hyun-Uk;Yu, Soon-Young
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.537-537
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    • 2012
  • 천수방정식의 수치모형은 하천의 유량예측, 홍수범람해석, 해일 모의 등에 널리 사용되고 있고, 그 결과는 수자원 관리, 재난 대책 등 정책적인 의사결정에 있어 유용한 자료로 활용되고 있다. 이처럼 천수방정식의 수치모형은 연구목적뿐만 아니라 실생활에 있어서도 큰 영향을 미치고 있으며, 이에 보다 정확하고 효율적인 수치모형의 구축이 수리/수자원/방재분야에서 중요한 영역이 되고 있다. 본 연구는 정확하고 안정적인 수치모의를 위해 천수방정식의 수치모형에 MLP(Multi dimensional Limiting Process)기법을 적용한 후 다차원 모의 시 MLP의 수치 진동 제어 성능을 검증하고자 하였다. MLP기법은 다차원에서 수치진동을 억제할 수 있도록 개발된 기법으로, 기존 TVD 제어자(limiter)과 MLP의 차이점은 기존 제어자들이 흐름이 발생하는 셀 경계면에서 재구성된 값이 Maximum Principle을 만족시키도록 제어자를 유도하는데 반해, MLP는 셀 절점에서 Maximum Principle을 만족시키도록 제어자를 유도한다는데 있다. MLP기법은 압축성 유체를 표현하는 2, 3차원 오일러 방정식에 적용되어 기존의 제어자들에 비해 안정적이며 정확한 수치모의를 가능하게 하는 것이 검증되었다. 하지만 천수방정식에 적용된 예는 없으며, 이에 본 연구는 천수방정식에 MLP를 적용하고 천수방정식 수치모형 검증에 주로 사용되는 수치모의를 통해 MLP의 수치 진동 제어 성능을 검증하였다. 모의 결과, MLP는 2차원 천수방정식에 있어서도 기존의 제어자들과 비교하여 수치진동을 보다 잘 제어하는 것으로 판단된다. MLP의 사용으로 인해 불연속면 근처에서 정확도가 향상되었고 수치진동이 발생하지 않아 보다 안정적인 모의가 가능하였다.

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A Study of 3D Modeling of Compressed Urban LiDAR Data Using VRML (VRML을 이용한 도심지역 LiDAR 압축자료의 3차원 표현)

  • Jang, Young-Woon;Choi, Yun-Woong;Cho, Gi-Sung
    • Journal of Korean Society for Geospatial Information Science
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    • v.19 no.2
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    • pp.3-8
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    • 2011
  • Recently, the demand for enterprise for service map providing and portal site services of a 3D virtual city model for public users has been expanding. Also, accuracy of the data, transfer rate and the update for the update for the lapse of time emerge are considered as more impertant factors, by providing 3D information with the web or mobile devices. With the latest technology, we have seen various 3D data through the web. With the VRML progressing actively, because it can provide a virtual display of the world and all aspects of interaction with web. It offers installation of simple plug-in without extra cost on the web. LiDAR system can obtain spatial data easily and accurately, as supprted by numerous researches and applications. However, in general, LiDAR data is obtained in the form of an irregular point cloud. So, in case of using data without converting, high processor is needed for presenting 2D forms from point data composed of 3D data and the data increase. This study expresses urban LiDAR data in 3D, 2D raster data that was applied by compressing algorithm that was used for solving the problems of large storage space and processing. For expressing 3D, algorithm that converts compressed LiDAR data into code Suited to VRML was made. Finally, urban area was expressed in 3D with expressing ground and feature separately.

Three Dimensional Incompressible Unsteady Flows in a Circular Tube Using the Navier-Stokes Equations With Beam and Warming Method (원형관에서의 음해법을 이용한 차원 3차원 비압축성 부정류 흐름에 관한 수치모의)

  • Park, Ki-Doo;Lee, Kil-Seong;Sung, Jin-Young
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.1624-1629
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    • 2008
  • The governing equations in generalized curvilinear coordinates for a 3D pulsatile flow are the Incompressible Navier-Stokes (INS) equations with the artificial dissipative terms and continuity equation discretized using a second-order accurate, finite volume method on the nonstaggered computational grid. This method adopts a dual or pseudo time-stepping Artificial Compressibility (AC) method integrated in pseudo-time. The computational technique implements the implicit approximate factorization method of the Beam and Warming method (1978), which is the extension of the Alternate Direction Implicit (ADI) method. The algorithm yields practically identical velocity profiles and secondary flows that are in excellent overall agreement with an experimental measurement (Rindt & Steenhoven, 1991).

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A Study on Tunnel Entry Design Considering the Booming Noise Resulting from Micro-Pressure Wave (미기압파에 의한 터널 출구 소음 저감을 위한 고속철도 터널 형상 개선에 관한 연구)

  • 목재균;최강윤;유재석
    • Journal of KSNVE
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    • v.7 no.6
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    • pp.959-966
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    • 1997
  • In general, the booming noise intensity at tunnel exit is strongly related to the gradient of the compression wave front created by high speed train entering the tunnel. This paper presents some results in relation with the compression wave front produced when the high speed train enters a tunnel. Four kinds of tunnel entrance shape with real dimensions were studied to investigate the formation of compression wave front inside tunnel by train entering tunnel. Computations were carried out using three-dimensional compressible Euler equation with vanishing viscosity and conductivity of fluid. According to the results, the flow disturbances occured at tunnel entrance were eliminated by tunnel hood with same cross sectional area. The compression wave front is formed completely at 30-40m from tunnel entrance. The maximum pressure gradient of compression wave front is reduced by 29.8% for the inclined tunnel hood and reduced by 21.5% for the tunnel hood with holes at the top face with tunnel without hood. The length of the inclined hood is 15m and the length of the hood with holes is 20m.

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A study on tunnel entry design considering the booming noise resulting from micro-pressure wave (미기압파에 의한 터널출구소음저감을 위한 고속철도 터널형상개선에 관한 연구)

  • 목재균;최강윤
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.04a
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    • pp.627-635
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    • 1997
  • In general, the booming noise intensity at tunnel exit is strongly related to the gradient of the compression wave front created by high speed train entering the tunnel. This paper presents some results in relation with the compression wave front produced when the high speed train enters a tunnel. Four kinds of tunnel entrance shape with real dimensions were studied to investigate the formation of compression wave front inside tunnel by train entering tunnel. Computations were carried out using three-dimensional compressible Euler equation with vanishing viscosity and conductivity of fluid. According to the reslts, the flow disturbance occured at tunnel entrance were eliminated by tunnel hood with same cross sectional area. The compression wave front is formed completely at 30-40m from tunnel entrance. The maximum pressure gradient of compression wave front is reduced by 29.8% for the inclined tunnel hood and reduced by 21.5% for the tunnel hood with holes at the top face with tunnel without hood. The length of the inclined hood is 15m and the length of the hood with holes is 20m.

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Effective Strength of 3-Dimensional Concrete Strut (3차원 콘크리트 스트럿의 유효강도)

  • Yun, Young Mook
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.2
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    • pp.403-413
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    • 2014
  • For the reliable design of the structural concrete by the strut-tie model approaches of current design codes, the effective strengths of concrete struts must be determined with sufficient accuracy. Many values and equations for the effective strengths have been suggested until now. As those are for the two-dimensional concrete struts, however, it is inappropriate to employ them in the strut-tie model designs of three-dimensional structural concretes. In this study, an approach, that determines the effective strengths of three-dimensional concrete struts consistently and accurately by reflecting the state of 3-dimensional stresses, the 3-dimensional failure criteria of concrete, the degree of cracks (or tensile strains of reinforcing bars crossing the struts), the strut's longitudinal length, the deviation angle between strut orientation and compressive principal stress flow, compressive strength of concrete, and the degree of concrete confinement by reinforcing bars, is proposed. To examine the validity of the proposed approach, the ultimate strength analyses of 115 reinforced concrete pile caps tested to failure by previous investigators were conducted by the ACI 318-11's strut-tie model approach with the existing and proposed effective strengths of concrete struts.

3-Dimensional Strut-Tie Model Analysis and Design of Structural Concrete (콘크리트 구조부재의 3차원 스트럿-타이 모델 해석 및 설계)

  • Yun, Young Mook;Park, Jung Woong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.3A
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    • pp.411-419
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    • 2006
  • In this study, a new approach employing 3-dimensional strut-tie models for analysis and design of 3-dimensional structural concrete with disturbed regions that are not properly occupied by current design codes is proposed. In addition, a computer graphics program for the practical application of the approach is developed. The approach adopts a grid strut-tie model to exclude the subjectivity in the selection of strut-tie model and evaluates the effective strength of concrete strut by considering the 3-dimensional failure criteria of concrete and the deviation angles between the struts and compressive principal stress trajectories. To verify the appropriateness of the approach, nine pile caps tested to failure are analyzed and a bridge pier is designed. The analysis and design results are compared with those obtained by several different methods.

Numerical Simulation of Three Dimensional Incompressible Flows Using the Navier-Stokes Equations with the Artificial Dissipation Terms and a Multigrid Method (다중격자와 인공점성항을 이용한 3차원 비압축성 흐름에 관한 수치모형 해석)

  • Park, Ki-Doo;Lee, Kil-Seong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1392-1396
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    • 2007
  • The governing equations in generalized curvilinear coordinates for 3D laminar flow are the Incompressible Navier-Stokes (INS) equations with the artificial dissipative terms. and continuity equation discretized using a second-order accurate, finite volume method on the nonstaggered computational grid. This method adopts a dual or pseudo time-stepping Artificial Compressibility (AC) method integrated in pseudo-time. Multigrid methods are also applied because solving the equations on the coarse grids requires much less computational effort per iteration than on the fine grid. The algorithm yields practically identical velocity profiles and secondary flows that are in excellent overall agreement with an experimental measurement (Humphrey et al., 1977).

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Numerical Simulation of Shallow Water Flow Using Multi-dimensional Limiting Process (MLP) (MLP기법을 적용한 천수흐름의 수치모의)

  • An, Hyunuk;Yu, Soonyoung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.2B
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    • pp.123-130
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    • 2012
  • MLP (Multi dimensional Limiting Process) is implemented to simulate shallow water flows, and its performance over conventional TVD limiters in multidimensional flows is verified through several numerical simulations. MLP was developed to control oscillations for multi-dimensional compressible flows and proved to improve accuracy, efficiency and robustness in compressible flows. In this study, we applies MLP to modeling shallow water equations(SWEs) given that the SWEs are amenable to be solved using the large range of numerical methods developed to deal with compressible flows and MLP has been yet used for SWEs. Simulation results through the benchmark tests show that MLP has favorable features such as numerical oscillation control and convergence behaviors comparable to the conventional limiters. Both numerical accuracy and stability are improved in multi-dimensional discontinuous flows.