• Title/Summary/Keyword: Sigma Coordinate

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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.

Two-Dimensional Numerical Simulation of Saltwater intrusion in Estuary with Sigma-Coordinate Transformation (연직좌표변환을 이용한 하구에서의 염수침투에 관한 2차원 수치모의)

  • Bae, Yong-Hoon;Park, Seong-Soo;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.1263-1267
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    • 2007
  • A more complete two-dimensional vertical numerical model has been developed to describe the saltwater intrusion in an estuary. The model is based on the previous studies in order to obtain a better accuracy. The non-linear terms of the governing equations are analyzed and the $\sigma$-coordinate system is employed in the vertical direction with full transformation which is recently issued in several studies because numerical errors can be generated during the coordinate transformation of the diffusion term. The advection terms of the governing equations are discretized by an upwind scheme in second-order of accuracy. By employing an explicit scheme for the longitudinal direction and an implicit scheme for the vertical direction, the numerical model is free from the restriction of temporal step size caused by a relatively small grid ratio. In previous researches, some terms induced from the transformation have been intentionally excluded since they are asked the complicate discretization of the numerical model. However, the lack of these terms introduces significant errors during the numerical simulation of scalar transport problems, such as saltwater intrusion and sediment transport in an estuary. The numerical accuracy attributable to the full transformation is verified by comparing results with a previous model in a simply sloped topography. The numerical model is applied to the Han River estuary. Very reasonable agreements for salinity intrusion are observed.

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Improvement for Chromaticity Coordinate Quality of Automotive White LED Packages (차량용 백색 LED 패키지의 색 좌표 품질 개선)

  • So, Soon Jin;Jeoung, Choung Woo;Moon, Tae Eul;Kim, Jeong Bin;Hong, Sung Hoon
    • Journal of Korean Society for Quality Management
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    • v.50 no.3
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    • pp.425-440
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    • 2022
  • Purpose: The purpose of this paper is to improve the chromaticity coordinate quality of white LED packages for automobiles that require high quality and reliability. Methods: The project follows the structured methodology of the Six Sigma DMAIC Roadmap, which consists of Define, Measure, Analyze, Improve and Control phases. Results: A CTQ is determined based on COPQ analysis, and a process map and a XY matrix are utilized for selecting process input variables. Three vital Few Xs are identified through data analysis; amount to mix at one time, deviation by head pumps, and deviation by production magazines, and process improvements are performed for each of the three vital Few Xs. Conclusion: The improved process conditions for the three vital Few Xs are applied to the production line, and the results show that the percent defective of chromaticity coordinate has improved from 1.59% to 0.63% and a financial effect of about 50 million won per year is obtained.

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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The Characteristics of Circulation in the Coastal Area of Jeju Harbor Using the Three Dimensional Ocean Circulation Model (3차원 해수유동모델에 의한 제주항 연안해역의 해수순환 특성)

  • Yang, Tai-Hoek;Yang, Sung-Kee
    • Journal of Environmental Science International
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    • v.20 no.6
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    • pp.679-686
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    • 2011
  • The characteristics of circulation in the coastal area of Jeju Harbor in Korea was examined using the Princeton Ocean Model(POM) with a sigma coordinate system. The result of numerical analysis well corresponded to the observed current data. The velocity at offshore was stronger compared to coastal area during the both period of in maximum flood and maximum ebb of spring tide. According to mean wind velocity, the tidal velocity at the shallow area of Jocheon was slightly increasing during maximum ebb. The effect of wind on the circulation was stronger in shallow area and showed rapid change with depth.

Applicability of 3-D Models for Hydrodynamic Simulation near Tidal Flat Area (조간대 해역의 3차원 유동모형 적용성)

  • Kang, Ju-Whan;Kim, Yang-Seon;So, Jae-Kwi
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.14 no.3
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    • pp.176-183
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    • 2011
  • Applicabilities of two 3-D hydrodynamic models on Chungkye Bay in which tidal flats are well developed were examined. Both EFDC model and ESCORT model with the ${\sigma}$-coordinate showed fairly good results. However, their efficiencies were lowered especially on the tidal flats due to dense vertical grids. This inefficiency could be overcome by using the z-coordinate of the ESCORT model keeping similar accuracy.

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.

Effects of Amino Substitution on the Excited State Hydrogen Transfer in Phenol: A TDDFT Study

  • Kim, Sang-Su;Kim, Min-Ho;Kang, Hyuk
    • Bulletin of the Korean Chemical Society
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    • v.30 no.7
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    • pp.1481-1484
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    • 2009
  • When isolated phenol or a small phenol-solvent cluster is excited to the $S_1\;state\;of\;{\pi}{\pi}^*$ character, the hydrogen atom of the hydroxyl group dissociates via a ${\pi}{\sigma}^*$ state that is repulsive along the O-H bond. We computationally investigated the substitution effects of an amino group on the excited state hydrogen transfer reaction of phenol. The time-dependent density functional theory (TDDFT) with B3LYP functional was employed to calculate the potential energy profiles of the ${\pi}{\pi}^*$ and the ${\pi}{\sigma}^*$ excited states along the O-H coordinate, together with the orbital shape at each point, as the position of the substituent was varied. It was found that the amino substitution has an effect of lowering the ${\pi}{\sigma}^*$ state and enhancing the excited state hydrogen transfer reaction.

A Three-Dimensional Numerical Model of Hydrodynamic Flow on σ-Coordinate (연직변환좌표(鉛直變換座標)에서 3차원(次元) 유동(流動) 수직모형(數値模型))

  • Jung, Tae Sung;Lee, Kil Seong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.5
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    • pp.1145-1158
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    • 1994
  • A three-dimensional, finite difference, numerical model with free surface was developed on ${\sigma}$-coordinate. A semi-implicit numerical scheme in time has been adopted for computational efficiency. The scheme is essentially independent of the stringent stability criteria (CFL condition) for explicit schemes of external surface gravity wave. Implicit algorithm was applied for vertical shear stress, Coriolis force and pressure gradient terms. The reliability of the model with vertically variable grid system was checked by the comparison of simulation results with analytic solution of wind-driven currents in a one-dimensional channel. Sensitivity analysis of differencing parameters was carried out by applying the model to the calculation of wind-driven currents in a square lake.

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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.