• Title/Summary/Keyword: ${\sigma}$-좌표계

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A Sigma-Coordinate Scalar Transport Model Coupled with Boussinesq Equations (${\sigma}$-좌표계 기반의 혼합 모형과 Boussinesq Equations 모형의 연계)

  • Kim, Dae-Hong;Lynett, Patrick
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.218-222
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    • 2010
  • 본 연구에서는 ${\sigma}$-좌표계를 기반으로 하는 3차원의 이송확산 모형과 depth-integrated eddy simulation 모형을 결합한 효율적인 3차원 근역 (near-field) 해석모형을 제시하였다. 흐름 모형은 Boussinesq-type equations과 stochastic backscatter model을 기본으로 하고 있다. 이 흐름 모형은 수면의 변화와 바닥으로부터 발생하는 전단력과 파랑의 유동으로부터 발행하는 수심방향의 유속분포를 예측할 수 있다. 이와 같은 흐름 정보를 3차원 ${\sigma}$-좌표계의 이송확산모형에 제공하고 scalar의 이송과 확산에 대한 거동을 계산한다. 기본적인 이송과 이송-확산에 대한 검증 및 개수로에서 정량적 검증과 정성적 검증을 수행하였다. 전반적으로 타당한 결과가 도출되어 모형의 적합성이 있음을 확인하였다.

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A Study on the behavior of bottom water in water area by using modified POM (개량형 POM을 이용한 수역에서의 저층수의 거동에 관한 연구)

  • Yoon Jong-Sung;Lee Dong-Ken;Kim In-Cheol
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.18 no.3
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    • pp.198-210
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    • 2006
  • POM(Princeton Ocean Model) was utilized in this study because it took ${\sigma}-coordinate$ system which could predict the behavior of bottom water. The model has been increasingly applied to costal area although it was initially developed as the ocean flow model. The original POM did not correct computational errors in transformation of ${\sigma}-coordinate$ system. The trying to reduce conversional errors might improve accuracy of flow velocity in vicinities of bottom layer. Therefore, in this study it was proposed to modify the original POM by using error correction method suggested by $Sl{\Phi}rdal$(1997). The modified POM was applied to Young-rang Lake, one of the typical brackish lakes in Korea. It was found that the behavior of bottom water could be well predicted. Thus, it seems that the modified POM can be used as a useful tool to clarify the mechanism of formation and behavior of bottom water including oxygen-deficient water mass.

Effective Simulation Technology for Near Shore Current Flow (연안해수유동에 관한 효율적인 수치계산기법)

  • Yoon, B.S.;Rho, J.H.;Fujino, M.;Hamada, T.
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.4
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    • pp.38-47
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    • 1995
  • The three-dimensional multi-layer computer simulation technology for tidal current developed in the previous study is updated to a new version. many improvements are achieved by following changes : (1) No-reflection condition is adopted instead of no-gradient condition as an open boundary condition. (2) Time marching algorithm is changed so that velocity and pressure(surface movement) might be salved in turn at different time step (3) Convection term in equation of motion is estimated by upwind differencing scheme instead of central differencing. The stability is improved considerably and the steady state is achieved within 2 tidal periods which is about 3 times shorter than that of the old version. Moreover, fluctuations in time disappeared by introducing the new time marching technique. An application to the real near shore area(near Inchon harbor) is performed by the new version. Simulated results are compared with those by the simulation total developed in the University of Tokyo. Validity and effectiveness of the two simulation technologies are chocked through the comparative research works.

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Three-Dimensional Numerical Model for Flow with Silt Protector (오탁방지막이 설치된 3차원 흐름 수치모델)

  • Hong, Nam-Seeg;Kim, Ga-Ya;Kang, Yoon-Koo
    • Journal of Ocean Engineering and Technology
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    • v.22 no.3
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    • pp.1-7
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    • 2008
  • In this study, a mathematical model for flaw with silt protector is proposed that adds a second-order energy loss term in the momentum equation. The three-dimensional numerical model was developed based on mathematical models and verified through comparison with flume test results. Loss coefficients were evaluated through the flume tests and applied to the numerical model. It was found through the investigation of various example cases that the downstream flow pattern was affected mainly by penetration of the silt curtain, not by the approach velocity, and also that the blocking effect of velocity was increased by the increase in mesh density of the silt curtain, below a certain mesh density. The blocking effect did not increase further above a certain mesh density.

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.

Effects of Non-hydrostatic Pressure on Free Surface Environmental Flows (자유표면 환경유동에 대한 비정수압 효과)

  • Yoon, B.S.;Park, C.W.
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.8 no.3
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    • pp.116-121
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    • 2005
  • In the present paper, a new calculation algorithm far solving large scale environmental or geophysical flows with free surface is proposed where the non-hydrostatic pressure component is taken into consideration. Predictor-corrector fractional step approach with explicit, forward time marching scheme in the sigma coordinate system is employed. In order to validate the present calculation algorithm and to estimate the effects of non-hydrostatic pressure on resultant flow and free surface movements, example calculations are carried out for typical steady and unsteady flow problems. Present method can be applied to the meso-scale free surface flows with complex bottom topography where MAC-like 3-d hydrodynamic calculations are quite ineffective and uneconomic.

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동중국해역에서 양자강 방류량 변화에 따른 저염분포의 수치실험

  • 황재동;정희동;조규대;박성은
    • Proceedings of KOSOMES biannual meeting
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    • 2003.11a
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    • pp.187-190
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    • 2003
  • 한반도 서남부해역은 하계 양자강의 방류에 의해 저염분 현상이 발생한다. 양자강 방류량은 해마다 일정하지 않으며, 과거 시계열자료에 의하면 최대값이 최소값보다 2배 이상이 됨을 알 수 있다. 다라서 양자강의 방류량을 달리하여 저염분포를 수치모델로 연구하고자 하였다. 수치모델은 POM(Princeton Ocean Model)을 사용하였다. POM은 연직적으로 $\sigma$-좌표계를 사용하는 3차원 순환모델이다. 모델 수행 후 연구해역내 대륙사면부에서 유속이 강하게 나타남을 알 수 있다. 또한 제주도 서쪽을 통해 북상하여 황해중앙부로 들어가는 흐름이 있으며, 대륙연안을 따라 남하하는 흐름이 있음을 알 수 있다 양자강 방류량을 부여한 수행한 모델의 결과를 보면 양자강 방류량이 많을수록 저염분역이 제주도에 가깝게 나타남을 랄 수 있다.

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Application of Rigid Lid Boundary Condition for Three Dimensional Flow Analysis beneath Floating Structure (부유체하부의 3차원 흐름해석을 위한 Rigid lid 경계조건의 적용)

  • Hong, Nam-Seeg
    • Journal of Ocean Engineering and Technology
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    • v.26 no.5
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    • pp.55-62
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    • 2012
  • In this paper, the rigid lid boundary condition is applied to simulate the influence of floating structures such as ships or pontoons, and the pressure term in both the momentum equations and continuity equation are modified. The pressure of a floating structure under the free surface is dependent on the draft of the structure, generally called a ship. If the free surface is covered by a floating structure, the free surface cannot move freely. The water level should be fixed, using a rigid lid boundary condition. This boundary condition is implemented by reducing the storage area of the grid cell with a factor between zero and one. The numerical model developed by Hong (2009) is verified through a comparison with experimental results, and the influence of the reduction factor is investigated using the verified numerical model.

Numerical Analysis of the Ocean Tidal Current Considering Sea Bottom Topography (해저지형을 고려한 조류유동의 수치해석)

  • B.S. Yoon;.H. Rho
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.1
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    • pp.70-82
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    • 1995
  • A multi-layer simulation program is developed to estimate the ocean current considering sea bottom geometry. The so-called $\sigma$ coordinate system is introduced in vertical direction to describe sea bottom topography more accurately and effectively. Leapfrog scheme combined with Euler backward scheme is used to reduce computation error which may be possibly accumulated in time evolution by Leapfrog scheme alone. In this paper, very simple examples of rectangular basins with various bottom geometries were taken and the effect of sea bottom geometry on vertical structure of the ocean tidal current and its direction were investigated. Through comparisons between the present three dimensional calculation in which bottom topography is directly taken into consideration and the two dimensional calculation in which depth average concept is employed, it was found that magnitude of surface current and its direction could be largely affected by the sea bottom topography, particularly in shallow region with complex bottom shape.

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Numerical Experiment of Low Salinity Due to the Variation of Yangtze River Discharge in East China Sea (동중국해역에서 양자강 유출량 변화에 따른 저염확산 수치실험)

  • 황재동;조규대;정희동;박성은
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.9 no.2
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    • pp.53-57
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    • 2003
  • Low salinity water appears by outflow of fresh water from the Yangtze River in southwestern sea of the Korean peninsula. The water volume discharged form the Yangtze River is not constant with year, according to the time series data recorded in the past, the maximum value of the discharged volume is two times as high asr minimum value. Therefore, the distribution of low salinity water over study area with different discharged fresh water volume is studied using numerical model, Princeton Ocean Model (POM). POM is three dimensional circulation model selecting a $\sigma$­coordinate. According to the result of numerical simulation by the Model, current velocity on the continental slope is faster than those in other regions, current which flows toward the central part of the Yellow Sea through western part of Jeju exists, and also, southward flow along the coastal region exists. the greater discharged volume from the Yangrze River is. the lower salinity water appears closer to Jeju.

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