• Title/Summary/Keyword: 직교격자

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Modeling Three-dimensional Free Surface Flow around Thin Wall Incorporation Hydrodynamic Pressure on δ-coordinate (δ-좌표계에서 동수압 계산 수중벽체 인근흐름 수치모형실험)

  • Kim, Hyo-Seob;Yoo, Ho-Jun;Jin, Jae-Yul;Jang, Chang-Hwan;Lee, Jung-Su;Baek, Seung-Won
    • Journal of Wetlands Research
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    • v.16 no.3
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    • pp.327-336
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    • 2014
  • Submerged thin walls are extreme case of submerged rectangular blocks, and could be used for many purposes in rivers or coastal zones, e.g. to tsunami. To understand flow characteristics including flow and pressure fields around a specific submerged thin wall a numerical model was applied which includes computation of hydrodynamic pressure on ${\sigma}$-coordinate. ${\sigma}$-coordinate has strong merits for simulation of subcritical flow over mild-sloped beds. On the other hand ${\sigma}$-coordinate is quite poor to treat sharp structures on the bed. There have been a few trials to incorporate dynamic pressure in ${\sigma}$-coordinate by some researchers. One of the previous approaches includes process of sloving the Poisson equation. However, the above method includes many high-order terms, and requires long cpu for simulation. Another method SOLA was developed by Hirt et al. for computation of dynamic pressure, but it was valid for straight grid system only. Previous SOLA was modified for ${\sigma}$-coordinate for the present purpose and was adopted in a model system, CST3D. Computed flow field shows reasonable behaviour including vorticity is much stronger than the upstream and downstream of the structure. The model was verified to laboratory experiments at a 2DV flume. Time-average flow vectors were measured by using one-dimensional electro-magnetic velocimeter. Computed flow field agrees well with the measured flow field within 10 % error from the speed point of view at 5 profiles. It is thought that the modified SOLA scheme is useful for ${\sigma}$-coordinate system.

The Tree-Dimensional Grid Generation of Arbitrary Body (임의물체 주위의 3차원 격자생성)

  • 맹주성;손병진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.1
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    • pp.189-196
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    • 1990
  • In the present study, a new method of generating boundary-fitted coordinates systems controlled by control function is introduced. Application of the method to a three-dimensional simply-connected region is the demonstrated. The numerical grid generation has following feat ures, (a) The generated boundary fitted coordinates is well concentrated in near wall region and satisfied orthogonality, (b) The grid control function is fully automatic and well controlled in sharp convex boundary.

Numerical Analysis of Two-dimenstional Flow in Curvilinear Coordinate System (곡선좌표계에서의 2차원 흐름의 수치해석)

  • Kim, Hyung-Jun;Cho, Yong-Sik;Kim, Su-Jin
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.402-407
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    • 2006
  • 본 연구는 곡선좌표계에서 유한차분기법(finite difference method)을 이용하여 2차원 흐름이 모의가능한 수치모형을 개발하는 것이다. 기존의 연구는 대부분 직교좌표계(cartesian coordinate system)에서의 격자망을 대상으로 개발되고 적용되었기 때문에 불규칙한 흐름의 경계 및 형상을 올바로 표현하기 어려웠다. 유한요소법이나 유한체적법같은 수치모의기법들이 개발되어 비구조격자체계를 구성하고 자연현상에 가까운 경계 표현할 수 있도록 개발되었다. 하지만 위의 기법들은 질량과 운동량과 같은 물리량을 보존하기 위해서 매우 조밀한 격자체계를 가져야만 한다. 이에 본 연구에서는 기존의 문제점들을 해결하기 위하여 곡선좌표계(curvilinear coordinate system)를 이용하여 지배방정식을 표현하고 2차원 흐름을 모의할 수 있는 모형을 구축한다. 수치모형은 leap-frog기법과 1차 정확도의 풍상차분기법(upwind scheme)을 사용하여 구성하였다. 본 연구에서 개발된 모형을 사각수조 및 만곡수로흐름에 적용하여 모의결과를 해석해 및 실험관측값과 비교하였다. 이로부터 본 수치모형이 해석해 및 실측치와 잘 일치하고 있음을 알 수 있었다.

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Simulation of Salinity in Iwon Estuary Lake using EFDC model (EFDC모형을 이용한 담수화호의 염분분포모의)

  • Jung, Ki-Woong;Seong, Chung-Hyun;Lee, Eun-Jeong;Park, Seung-Woo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.1500-1504
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    • 2010
  • 본 연구에서는 EFDC(Environmental Fluid Dynamics Code) 모형을 이용하여 이원 담수화호의 염분분포를 모의하였다. SMS(Surface Water Modeling System) 모형을 이용하여 담수호에 대한 격자망을 구성하였다. 격자체계는 직교좌표계를 사용하였으며, 전체 2,620개의 유효계산격자를 구성하여 모형에 적용하였다. 수위 및 유량에 대한 경계조건은 기상자료와 배수갑문 운용자료를 통해 구축하였으며, 초기조건은 수위 실측자료를 이용하였다. 담수호의 염분모의를 위한 모형의 경계 조건은 호내에 위치한 5개소의 실측자료를 이용하였으며, 유역에서의 유입수염분농도는 0.2 ppt, 방조제 외측으로부터의 유입수 염분농도는 해수조건(30 ppt)을 적용하였다. 염분분포 모의를 위해 2006년부터 2008년까지 3년동안의 염분농도 실측자료를 이용하여 보정과 검정을 실시한 결과, 대상 지역에 대해 EFDC 모형의 적용성이 있는 것으로 나타났다.

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A Study on Grid Dependencies of the Numerical Solutions for Ship Viscous Flows (배주위 점성유동장에 대한 수치해의 격자의존성에 관한 연구)

  • Kang, K.J.;Lee, S.H.
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.4
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    • pp.58-65
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    • 1994
  • It is very important to understand characteristics of solution due to the variation of computational grid sizes, especially when turbulence model not incorporating wall-function is used. The present paper performs numerical investigation on the grid dependency of numerical solution for three dimensional turbulent flow field around a ship. In the present study a finite volume method with a modified sub-grid scale turbulence model and a numerically constructed non-orthogonal curvilinear coordinate system capable of conforming complex ship geometries are used. Numerical studies are then performed for a mathematical Wigley hull and the Series 60, $C_B=0.8$ hull forms. The results for various grid sizes are compared with each other and with measured data to show grid dependencies of numerical solutions.

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Analysis of Large-Amplitude Ship Motions Using a Cartesian-Gridbased Computational Method (직교격자 기반 수치기법을 이용한 선박의 대변위 운동해석)

  • Yang, Kyung-Kyu;Nam, Bo-Woo;Lee, Jae-Hoon;Kim, Yonghwan
    • Journal of the Society of Naval Architects of Korea
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    • v.49 no.6
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    • pp.461-468
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    • 2012
  • In this study, a Cartesian-grid method based on finite volume approach is applied to simulate the ship motions in large amplitude waves. Fractional step method is applied for pressure-velocity coupling and TVD limiter is used to interpolate the cell face value for the discretization of convective term. Water, air, and solid phases are identified by using the concept of volume-fraction function for each phase. In order to capture the interface between air and water, the tangent of hyperbola for interface capturing (THINC) scheme is used with weighed line interface calculation (WLIC) method which considers multidimensional information. The volume fraction of solid body embedded in the Cartesian grid system is calculated using a level-set based algorithm, and the body boundary condition is imposed by a volume weighted formula. Numerical simulations for the two-dimensional barge type model and Wigley hull in linear waves have been carried out to validate the newly developed code. To demonstrate the applicability for highly nonlinear wave-body interactions such as green water on the deck, numerical analysis on the large-amplitude motion of S175 containership is conducted and all computational results are compared with experimental data.

Evaluation of Optimal Grid Resolution for Hydrodynamic Proper Simulation (수리동역학적 모의를 위한 적정 격자해상도 산정방법)

  • Ahn, Jung-Min;Park, In-Hyeok;Lyu, Si-Wan;Hur, Young-Teck
    • Journal of Korean Society for Geospatial Information Science
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    • v.20 no.1
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    • pp.109-116
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    • 2012
  • The effect of the grid resolution on the hydrodynamic simulation has been investigated by using CCHE2D and EFDC. Since a high resolution of the grid results in the increase of computation time, an appropriate grid resolution should be selected by considering the efficiency of simulation according to the objectives of projects. In order to understand the effect of grid resolution and determine the optimal grid resolution, several cases with different lateral grid resolutions have been simulated for the reach of Nakdong river at the confluence of Kumho river for the floods in 2006. Orthogonal curvilinear grids for the domain have been constructed from the survey products at the sections with the longitudinal interval of 20 m. Area-elevation curve and the comparison of simulated results with measured stage at the specific station have been used to check the effect of grid resolution. From the results, the existence of optimal grid resolution has been observed, which ensure both efficiency of computation and certainty of results.

AN EFFICIENT ALGORITHM FOR INCOMPRESSIBLE FREE SURFACE FLOW ON CARTESIAN MESHES (직교격자상에서 효율적인 비압축성 자유표면유동 해법)

  • Go, G.S.;Ahn, H.T.
    • Journal of computational fluids engineering
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    • v.19 no.4
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    • pp.20-28
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    • 2014
  • An efficient solution algorithm for simulating free surface problem is presented. Navier-Stokes equations for variable density incompressible flow are employed as the governing equation on Cartesian meshes. In order to describe the free surface motion efficiently, VOF(Volume Of Fluid) method utilizing THINC(Tangent of Hyperbola for Interface Capturing) scheme is employed. The most time-consuming part of the current free surface flow simulations is the solution step of the linear system, derived by the pressure Poisson equation. To solve a pressure Poisson equation efficiently, the PCG(Preconditioned Conjugate Gradient) method is utilized. This study showed that the proper application of the preconditioner is the key for the efficient solution of the free surface flow when its pressure Poisson equation is solved by the CG method. To demonstrate the efficiency of the current approach, we compared the convergence histories of different algorithms for solving the pressure Poisson equation.

A HIGH-RESOLUTION NUMERICAL ANALYSIS OF SHOCK FOCUSING IN CONCAVE REFLECTORS (반사경 내부 유동의 초점 형성에 관한 고해상도 수치 해석)

  • Jung, Y.G.;Chang, K.S.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.170-175
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    • 2009
  • Shock focusing is related with explosive release of shock wave energy on a narrow spot in a short duration of time triggering a spontaneous high pressure near the focal point. It is well known that reflection of planar incident shock wave from the metallic concave mirror such as ellipsoidal, paraboloidal or hemispherical cavities will focus on a focal point. We intend to improve the computational results using a wave propagation algorithm and to resolve the mushroom-like structure. For computation of the concave cavity flow, it is not easy to use a single-block mesh because of the many singular points in geometry and coordinates. We have employed a uniform Cartesian-grid method for the wave propagation algorithm.

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