• 제목/요약/키워드: vertical mixing and advection

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개수로에서 2차원 이송-분산 해석을 위한 시간분리 혼합 모형 (Time-split Mixing Model for Analysis of 2D Advection-Dispersion in Open Channels)

  • 정영재;서일원
    • 대한토목학회논문집
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    • 제33권2호
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    • pp.495-506
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    • 2013
  • 본 연구에서는 전단류 분산이 이송과 난류에 의한 확산의 결합에 의해 발생한다는 Taylor (1954)의 가정을 바탕으로 개념적 모형을 구성하고, 이를 3차원 개수로에 적용하여 오염물질의 혼합과정을 재현할 수 있는 시간분리 혼합모형(Time-split Mixing Model; TMM)을 개발하였다. 개발된 모형은 연산자 분리 기법(operator split method)과 유사하게 혼합과정을 종방향 혼합과 횡방향 혼합으로 분리하고, 유속 연직편차에 의한 농도분리과정과 난류확산에 의한 연직방향 혼합과정을 순차적으로 반복 계산함으로써 2차원 이송-분산을 재현한다. 수치모의 결과, 제안된 모형은 수로벽면에 의한 농도중첩 효과를 잘 반영하고 있으며, Taylor 구간 내에서 2차원 이송-분산 모형의 해석해와 거의 일치하고 있음을 확인하였다(Chatwin, 1970). 본 모형은 하상경사, 하폭 대 수심 비, 혼합시간 등의 변화에 따라 분산 정도를 달리 재현하고 있으며, 산정된 종분산계수는 Elder(1959)가 제안한 상수값과는 달리 혼합시간에 따라 변화하는 양상을 나타냈다. 횡분산계수의 경우, Sayre와 Chang(1968), Fischer 등(1979)이 실험을 통해 제시한 값과 유사한 범위를 나타냈다.

The differences in the potential energy anomaly for analyzing mixing and stratification between 2D and 3D model

  • Minh, Nguyen Ngoc;Hwang, Jin Hwan
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2015년도 학술발표회
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    • pp.240-240
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    • 2015
  • As Simpson et al. (1990) emphasized the importance of the straining process in the stratification and mixing in the estuarine circulation process, various researches have investigated on the relative contribution of each process to the overall potential energy anomaly dynamics. However, many numerical works have done only for two dimensional modeling along channel or the short distance cross sectional three dimensional simulations as Burchard et al. (2008) and the estuarine channel was not simulated so far. But, in the study on the physics of shallow coastal seas, spatial dimension in the three dimensional way affects significantly on results of a particular numerical model. Therefore, the comparison of two and three dimensional models is important to understand the real physics of mixing and stratification in an estuary. Also, as Geyer and MacCready (2013) pointed out that the lateral process seems to be important in determining the periodic stratifications, to study such process the three dimensional modeling must be required. The present study uses a numerical model to show the signification roles of each term of the time-dependent dynamic equation for the potential energy anomaly (PEA) in controlling along and lateral channel flows and different stratification structures. Moreover, we present the relationships between the ${\Phi}$-advection, the depth mean straining, vertical mixing and vertical advection can explain well how water level, salinity distribution and across velocity 2D model are slightly different from 3D.

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LARGE-SCALE VERSUS EDDY EFFECTS CONTROLLING THE INTERANNUAL VARIATION OF MIXED LAYER TEMPERATURE OVER THE NINO3 REGION

  • Kim, Seung-Bum;Lee, Tong;Fukumori, Ichiro
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2006년도 Proceedings of ISRS 2006 PORSEC Volume I
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    • pp.21-24
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    • 2006
  • Processes controlling the interannual variation of mixed layer temperature (MLT) averaged over the NINO3 domain ($150-90^{\circ}W$, $5^{\circ}N-5^{\circ}S$) are studied using an ocean data assimilation product that covers the period of 1993 to 2003. Advective tendencies are estimated here as the temperature fluxes through the domain's boundaries, with the boundary temperature referenced to the domain-averaged temperature to remove the dependence on temperature scale. The overall balance is such that surface heat flux opposes the MLT change but horizontal advection and subsurface processes assist the change. The zonal advective tendency is caused primarily by large-scale advection of warm-pool water through the western boundary of the domain. The meridional advective tendency is contributed mostly by Ekman current advecting large-scale temperature anomalies though the southern boundary of the domain. Unlike many previous studies, we explicitly evaluate the subsurface processes that consist of vertical mixing and entrainment. In particular, a rigorous method to estimate entrainment allows an exact budget closure. The vertical mixing across the mixed layer (ML) base has a contribution in phase with the MLT change. The entrainment tendency due to temporal change in ML depth is negligible comparing to other subsurface processes. The entrainment tendency by vertical advection across the ML base is dominated by large-scale changes in wind-driven upwelling and temperature of upwelling water. Tropical instability waves (TIWs) result in smaller-scale vertical advection that warms the domain during La Ni? cooling events. When the advective tendencies are evaluated by spatially averaging the conventional local advective tendencies of temperature, the apparent effects of currents with spatial scales smaller than the domain (such as TIWs) become very important as they redistribute heat within the NINO3 domain. However, such internal redistribution of heat does not represent external processes that control the domain-averaged MLT.

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Hydrodynamic control on site-structured phytoplankton blooms in a periodically mixed estuary

  • Sin, Yong-Sik
    • 해양환경안전학회:학술대회논문집
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    • 해양환경안전학회 2001년도 추계학술발표회
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    • pp.137-144
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    • 2001
  • A Plankton ecosystem model was developed to investigate effects of hydrodynamic processes including advection and diffusion on size-structured phytoplankton dynamics in the mesohaline zone of the York River estuarine system, Virginia, USA. The model included 12 state variables representing the distribution of carbon and nutrients in the surface mixed layer. Groupings of autotrophs and heterotrophs were based on cell site and ecological hierarchy Forcing functions included incident radiation, temperature, wind stress, mean How and tide which includes advective transport and turbulent mixing. The ecosystem model was developed in FORTRAN using differential equations that were solved using the 4th order Runge-Kutta technique. The model showed that microphytoplankton blooms during winter-spring resulted from a combination of vertical advection and diffusion of phytoplankton cells rather than in-situ production in the lower York River estuary.

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이차원 수치모형을 이용한 준설 탁도플륨의 혼합거동 연구 (A Study on Mixing Behavior of Dredging Turbidity Plume Using Two-Dimensional Numerical Model)

  • 박재현;김영도;이만수
    • 한국습지학회지
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    • 제15권1호
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    • pp.59-69
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    • 2013
  • 본 연구에서는 충남 서산에 위치한 부남호에서 준설시 발생하는 탁도플륨의 이송 및 확산과정을 2차원 수치모형인 RMA2 모형과 RMA4 모형을 이용하여 예측하였으며, 다항목수질모니터링시스템(YSI6600EDS)을 이용해 측정한 탁도분포와 비교하였다. 현장조사에서는 부남호에서 준설작업이 진행됨에 따라 인근지점에서의 연직방향 탁도 분포를 측정하였으며 표층에서 거리에 따른 수평방향 탁도 분포를 측정하였다. 부남호 전 구간에 대해서 2차원 흐름해석 모형인 RMA2 모형을 적용하였고, 실제 준설작업이 이루어지는 2호지에 대해서 RMA2 모형과 RMA4 모형을 적용하였다. 준설지점의 초기 농도값에 대한 저수지 내 각 지점에서의 거리에 따른 농도비를 현장측정 결과와 비교한 결과, 수치해석에 의한 탁도플륨의 이송확산 모의 결과는 준설작업에 대한 환경영향 범위를 예측하는 데에 적용될 수 있는 것으로 나타났다.

염수와 담수의 혼합에 관한 3차원 수치모형 (A three-dimensional Numerical Model for the Mixing of Saltwater and Freshwater)

  • 장원재;이승오;조용식
    • 한국방재학회:학술대회논문집
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    • 한국방재학회 2008년도 정기총회 및 학술발표대회
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    • pp.233-236
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    • 2008
  • To analyze the saline intrusion in the place, such as an estuary, the three-dimensional numerical model is developed. In this study, the advection terms of the governing equations are discretized by upwind scheme. By using 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. The equation of state is used to consider the density, and the scalar transport equation for salinity is employed the third order TVD to scheme to prevent unphysical oscillation near discontinuity. In order to verify saline intrusion, the numerical model is conducted to compare the previous model in the lock exchange. The present model generally show a good agreement with the previous one.

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난류전단 흐름에서의 비정상 수평 선오염원의 확산에 관한 수치해법 (A Numerical Method for Dispersion of Unsteady Horizontal Line Source in Turbulent Shear Flow)

  • 전경수
    • 물과 미래
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    • 제29권4호
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    • pp.187-198
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    • 1996
  • 난류전단 흐름에서의 비정상 수평 선오염원의 확산에 관한 수치모형을 개발하였다. 계산기법으로는 비정상 이송확산 방정식을 종방향 이송 및 연직방향 확산으로 분리하고, 이들 방정식을 방시간 간격에 대하여 번갈아 계산하는 단계분리 유한차분기법을 사용하였다. 종방향 이송방정식에 대해서는 Holly-Preissmann 기법을, 연직방향 확산방정식에 대해서는 Crank-Nicholson 기법을 각각 적용하였다. 개발된 모형을 난류전단 흐름에서의 정상 수평 선오염원의 확산 문제에 적용하여 계산결과를 반해석해와 비교함으로써 모형을 검증하였다. 또한 난류전단 흐름내로 순간적으로 방류된 면오염원의 확산문제에 계산모형을 적용하였다. 마찰계수에 대한 민감도 분석 결과, 동일한 무차원 시각에서의 혼합 정도는 마찰계수에 관계없이 거의 일정한 것으로 나타났다. 또한 동일한 정도의 혼합상태에 도달하는 데 소요되는 유하거리는 마찰계수의 제곱근에 반비례함을 알 수 있었다.

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경북지역에서 관측된 야간 대기경계층의 특성 (Characteristics of Nocturnal Boundary Layer Observed in Kyungpook Province)

  • 권병혁
    • 한국환경과학회지
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    • 제10권5호
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    • pp.329-336
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    • 2001
  • Characgcteristics of nocturnal boundary layer(NBL) were analyzed by the upper-air observations data using with the airsonde and pilot balloons from 1994 to 1999 in Kyungpook province. The automate weather boundary layer can become stably stratified when the surface is cooler than the air. Stable nocturnal boundary layer height were estimated from the top of surface stable layer where the vertical gradient of temperature and mixing ratio tend to zero or negative. The depth of the stable nocturnal boundary layer depended largely on the thermal effect rather than the wind effect at nighttime. The NBL was more developed on the land than on the coastal region. The stability index (bulk Richardson number) showed that the NBL was stable when the wind was weak and the vertical gradient of the temperature was strong. The heat budget in the NBL was studied by considering the effect of the radiative and the cooled by both the longwave radiative flux and the divergence of the heat flux, while NBL under the cloudy sky the longwave radiative flux played a role of the warming. It was noted that the heat was not conserved in both cases. To complete the heat budget in the NBL the warming/cooling by advection and subsidence must be considered.

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Surface Ozone Episode Due to Stratosphere-Troposphere Exchange and Free Troposphere-Boundary Layer Exchange in Busan During Asian Dust Events

  • Moon, Y.S.;Kim, Y.K.;K. Strong;Kim, S.H.;Lim, Y.K.;Oh, I.B.;Song, S.K.
    • 한국환경과학회지
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    • 제11권5호
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    • pp.419-436
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    • 2002
  • The current paper reports on the enhancement of O$_3$, CO, NO$_2$, and aerosols during the Asian dust event that occurred over Korea on 1 May 1999. To confirm the origin and net flux of the O$_3$, CO, NO$_2$, and aerosols, the meteorological parameters of the weather conditions were investigated using Mesoscale Meteorological Model 5(MM5) and the TOMS total ozone and aerosol index, the back trajectory was identified using the Hybrid Single-Particle Lagrangian Integrated Trajectory Model(HYSPLIT), and the ozone and ozone precursor concentrations were determined using the Urban Ashed Model(UAM). In the presence of sufficiently large concentrations of NO$\sub$x/, the oxidation of CO led to O$_3$ formation with OH, HO$_2$, NO, and NO$_2$ acting as catalysts. The sudden enhancement of O$_3$, CO, NO$_2$ and aerosols was also found to be associated with a deepening cut-off low connected with a surface cyclone and surface anticyclone located to the south of Korea during the Asian dust event. The wave pattern of the upper trough/cut-off low and total ozone level remained stationary when they came into contact with a surface cyclone during the Asian dust event. A typical example of a stratosphere-troposphere exchange(STE) of ozone was demonstrated by tropopause folding due to the jet stream. As such, the secondary maxima of ozone above 80 ppbv that occurred at night in Busan, Korea on 1 May 2001 were considered to result from vertical mixing and advection from a free troposphere-boundary layer exchange in connection with an STE in the upper troposphere. Whereas the sudden enhancement of ozone above 100 ppbv during the day was explained by the catalytic reaction of ozone precursors and transport of ozone from a slow-moving anticyclone area that included a high level of ozone and its precursors coming from China to the south of Korea. The aerosols identified in the free troposphere over Busan, Korea on 1 May 1999 originated from the Taklamakan and Gobi deserts across the Yellow River. In particular, the 1000m profile indicated that the source of the air parcels was from an anticyclone located to the south of Korea. The net flux due to the first invasion of ozone between 0000 LST and 0600 LST on 1 May 1999 agreed with the observed ground-based background concentration of ozone. From 0600 LST to 1200 LST, the net flux of the second invasion of ozone was twice as much as the day before. In this case, a change in the horizontal wind direction may have been responsible for the ozone increase.

사행수로에서의 유속 및 분산특성에 관한 실험적 연구 (An Experimental Study of Flow and Dispersion Characteristics in Meandering Channel)

  • 박성원;서일원
    • 한국방재학회:학술대회논문집
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    • 한국방재학회 2008년도 정기총회 및 학술발표대회
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    • pp.799-802
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    • 2008
  • General behaviors based on hydraulic characteristics of natural streams and channels have been recently analyzed and developed via various numerical models. However in the states of natural hydraulics, an experimental research must be performed simultaneously with the mathematical analysis due to effects of hydraulic properties such as meander, sediment, and so on. In this study based on 2-D advection-dispersion equation, flow and tracer experiments were performed in the S-curved meandering laboratory channel with a rectangular cross-section. The channel was equipped with instrument carriages which was equipped with an auto-traversing system to be used with velocity measuring sensors throughout the depth and breadth of the flow field. To measure concentration distribution of the salt solution was adjusted to that of the flume water by adding methanol and a red dye (KMnO4) was added to aid the visualization of the tracer cloud, the tracer was instantaneously injected into the flow as a full-depth vertical line source by the instantaneous injector and the initial concentration of the tracer was 100,000 mg/l. The secondary current as well as the primary flow pattern was analyzed to investigate the flow distribution in the meandering channels. The velocity distribution of the primary flow for all cases skewed toward the inner bank at the first bend, and was almost symmetric at the crossovers, and then shifted toward the inner bank again at the next alternating bend. Thus, one can clearly notice that the maximum velocity occurs taking the shortest course along the channel, irrespective of the flow conditions. The result of the tracer tests shows that pollutant clouds are spreading following the maximum velocity lines in each cases with various mixing patterns like superposition, separation, and stagnation of pollutant clouds. Flow characteristics in each cases performed in this study can be compared with tracer dispersion characteristics with using evaluation of longitudinal and transverse dispersion coefficients(LDC, TDC). As expected, LDC and TDC in meandering parts have been evaluated with increasing distribution and straight parts have effected to evaluate minimum of LDC and TDC due to symmetric flow patterns and attenuations of secondary flow.

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