• Title/Summary/Keyword: Depth-averaged model

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Analysis of Salinity Dispersion in Estuaries by an X-Y Numerical Model (X-Y 수치모형에 의한 하구의 염도확산 분석)

  • 강주환;이길성
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.3 no.4
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    • pp.197-208
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    • 1991
  • A depth-averaged X-Y numerical model with transformed coordinates is developed to analyze the salinity dispersion in estuaries. Simulation of intertidal zones, residual current and closed boundary condition are examined. Especially. the improvements in stability and accuracy of the numerical algorithm are made by adopting fractional step method for the dispersion term of the governing equation. The model being applied to the Keum River Esturary, velocity fields and salinity fields are reproduced satisfactorily and the estimation of the dispersion coefficient with respect to the flow fold is also studied.

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A Study on the Numerical Models of Wave induced Currents (파랑에 의한 연안류의 수치모델에 관한 연구)

  • Lee, Jung-Maan;Kim, Jae-Joong;Park, Jung-Chul
    • Journal of Ocean Engineering and Technology
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    • v.12 no.3 s.29
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    • pp.75-85
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    • 1998
  • A finite difference model for predicting time-dependent, wave-induced nearshore current is studied. The model includes wave refraction, wave-current interaction, bottom friction and wind effect. This model iteratively solved the linear the linear set of conservation of both mass and momentum, which were time averaged (over one wave period) and depth integrated, for mean velocities and free surface displacement. Numerical simulations of nearshore current under oblique wave attack, and for wave and wind induced current on a longshore periodic beach are carried out. Longshore velocities tend to zero in some distances outside the breaker line. And the peak velocity is shifted shoreward at the breaker line. The results represent the general characteristics of the nearshore current induced by wave.

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Three-Dimensional Visualization of Flood Inundation for Local Inundation Map (홍수지도 제작을 위한 홍수범람정보의 3차원 가시화)

  • Lee, Jin-Woo;Kim, Hyung-Jun;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.179-182
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    • 2008
  • This study simulated the flood inundations of the Nakdong River catchment running through Yangsan, a small city located in the south eastern area of Korea by using the depth averaged two-dimensional hydrodynamic numerical model. The numerical model employs the staggered grid system including moving boundary and a finite different method to solve the Saint-Venant equations. A second order upwind scheme is used to discretize the nonlinear convection terms of the momentum equations, whereas linear terms are discretized by a first order leap-frog scheme(Cho and Yoon, 1998). The numerical model was applied to a real topography to simulate the flood inundation of the Yangsan basin. The numerical results for urban district are visualized in three dimension. These results can be essentially utilized to construct the three dimensional inundation map after building the GIS-based database in local public organizations in order to protect the life and property safely.

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Development of response terms for contaminant transport in two-dimensional model for mixing analysis of toxic chemicals in rivers (하천에 유입된 유해화학물질의 혼합 해석을 위한 2차원 오염물질 이동모형 반응항 개발)

  • Shin, Dongbin;Shin, Jaehyun;Seo, Il Won
    • Journal of Korea Water Resources Association
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    • v.53 no.2
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    • pp.141-154
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    • 2020
  • The accidents of toxic chemical spill into rivers are increasing in recent years due to expansion of heavy industries in Korea. In order to respond to the chemical spills, accident response systems have been established for both main rivers and tributary rivers. However, since these accident response system adopted the water quality models imported from the foreign countries, it is difficult to acquire the model parameters and to calibrate and validate the water quality models. Therefore, this study developed a depth-averaged two-dimensional river water quality model to analyze the behavior of hazardous chemicals in rivers and proposed an efficient simulation execution framework by identifying the significant reaction mechanisms considering the characteristics of the toxic chemicals. The depth-averaged two-dimensional river water quality model CTM-2D was upgraded by adding reaction terms representing mechanisms of the adsorption, desorption, and volatilization of toxic chemicals. In order to verify the model, the analytical solution was compared with the numerical solution, and results showed that the error was less than 0.1%. In addition, the model was applied to a virtual scenario which is a water pollution accident at the confluence of the Nakdong River - Kumho River, and model results showed that an efficient simulation could be carried out by activating only significant reactions which were assessed by the sensitivity analysis.

Development and Application of Depth-integrated 2-D Numerical Model for the Simulation of Hydraulic Characteristics in Vegetated Open-Channels (식생 수로에서의 수리특성 모의를 위한 수심적분 2차원 수치모형의 개발 및 적용)

  • Kim, Tae Beom;Bae, Hea Deuk;Choi, Sung-Uk
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.6B
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    • pp.607-615
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    • 2010
  • Vegetation drag tends to raise water level by retarding the flow. Previous studies have focussed on either the vertical structure modeling or the one-dimensional modeling, which can hardly be used to simulate the vegetative streams in practical engineering. Therefore, this paper presents a two-dimensional numerical model based on the depth-averaged flow equations. Vegetation drags are reflected in the flow equations, assuming non-flexible rigid cylinders. For validations, flow properties measured in both rectangular and compound channels are compared with simulated data, showing good agreement. Then, the model is applied to a reach in the Han River and the impact of floodplain vegetation on the flow is investigated.

Prediction of Wave-Induced Current Using Time-Dependent Wave Model (쌍곡선형 파랑모형을 이용한 해빈류 예측)

  • 김재중;이정만
    • Journal of Korean Port Research
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    • v.12 no.2
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    • pp.269-280
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    • 1998
  • A Wave-induced current model is developed in our study and this model is composed with wave transform model and current model. Two types of wave model are used in our study one is Copeland(1985) type which is applied in the offshore region and the other is Watanabe and Maruyama(1984) type which is applied in the surf zone. The depth-integrated and time-averaged governing equation of an unsteady nonlinear form is used in the wave induced current model. Lateral mixing radiation stresses surface and bottom stresses are considered in our current model. Copeland’s(1976) is used as a surface friction formula. Numerical solutions are obtained by Leendertse scheme and compared with Noda’s(1974) experimental results for the uniform slope coastal region test and Nishimura & Naruyama’s (1985) experimental results and numerical simulation results for the detached breakwater. The results from our wave model and wave model and wave-induced current model show good agreements with the others and also show nonlinear effects around the detached breakwater. The model in this study can be applied in the surf zone considering the friction stresses.

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Three-Dimensional Numerical Simulation of Intrusive Density Currents

  • An, Sangdo
    • Journal of Environmental Science International
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    • v.23 no.7
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    • pp.1223-1232
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    • 2014
  • Density currents have been easily observed in environmental flows, for instance turbidity currents and pollutant plumes in the oceans and rivers. In this study, we explored the propagation dynamics of density currents using the FLOW-3D computational fluid dynamics code. The renormalization group (RNG) $k-{\varepsilon}$ scheme, a turbulence numerical technique, is employed in a Reynold-averaged Navier-Stokes framework (RANS). The numerical simulations focused on two different types of intrusive density flows: (1) propagating into a two-layer ambient fluid; (2) propagating into a linearly stratified fluid. In the study of intrusive density flows into a two-layer ambient fluid, intrusive speeds were compared with laboratory experiments and analytical solutions. The numerical model shows good quantitative agreement for predicting propagation speed of the density currents. We also numerically reproduced the effect of the ratio of current depth to the overall depth of fluid. The numerical model provided excellent agreement with the analytical values. It was also clearly demonstrated that RNG $k-{\varepsilon}$ scheme within RANS framework is able to accurately simulate the dynamics of density currents. Simulations intruding into a continuously stratified fluid with the various buoyancy frequencies are carried out. These simulations demonstrate that three different propagation patterns can be developed according to the value of $h_n/H$ : (1) underflows developed with $h_n/H=0$ ; (2) overflows developed when $h_n/H=1$ ; (3) intrusive interflow occurred with the condition of 0 < $h_n/H$ < 1.

Junction Flow Analyses by Twp-Dimensional Numerical Model (2차원 수치모형에 의한 합류흐름 해석)

  • Yoon, Tae-Hoon;Jung, Eui-Taek;Park, Jong-Suk
    • Journal of Korea Water Resources Association
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    • v.31 no.5
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    • pp.529-538
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    • 1998
  • The flow configurations at open channel junctions are analyzed by 2-D depth averaged mathematical model. The governing factors of the flow at the junction are found to be discharge ratio between tributary flow and the post confluence combined flow, and confluence angle. Analyzed by these two factors are flow patterns and flow depth variation at the confluence, discharge ratio above which the flow upstresm from the junction is affected by the tributary flow and the geometries of a recirculation region. Further, the flow contraction in the downstream region and the deflection of the tributary flow in the main channel were investigated. The numerical results are compared with the existing experimental data fairly well.

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Surface Heat Water Simulation Using Depth-Integrated Model Incorporating Near Field Characteristics (근역특성이 고려된 수심적분모형을 이용한 표층온배수모의)

  • 서승원;김덕호
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.8 no.1
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    • pp.18-27
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    • 1996
  • Efforts are concentrated onto effective simulation of surface discharged heat water in two-dimensional depth-averaged finite element model using Gaussian puff algorithm incorporating near-field characteristics as patches computed from CORMIX3 with ambient flow variations. Concise analyses of horizontal and vertical temperature distributions are made for real coastal power plant discharges through four field observations and the results from this proposed method are in good agreements with observations in far-field as well as near-field. Thus, this method can simulate the heat dispersion effectively for the whole region since the complex jet momentum characteristics and ambient flows are easily represented in 10 meters of finite element discretization around a discharging point.

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Deformation of Non-linear Dispersive Wave over the Submerged Structure (해저구조물에 대한 비선형분산파의 변형)

  • Park, D.J.;Lee, J.W.
    • Journal of Korean Port Research
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    • v.12 no.1
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    • pp.75-86
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    • 1998
  • To design a coastal structure in the nearshore region, engineers must have means to estimate wave climate. Waves, approaching the surf zone from offshore, experience changes caused by combined effects of bathymetric variations, interference of man-made structure, and nonlinear interactions among wave trains. This paper has attempted to find out the effects of two of the more subtle phenomena involving nonlinear shallow water waves, amplitude dispersion and secondary wave generation. Boussinesq-type equations can be used to model the nonlinear transformation of surface waves in shallow water due to effect of shoaling, refraction, diffraction, and reflection. In this paper, generalized Boussinesq equations under the complex bottom condition is derived using the depth averaged velocity with the series expansion of the velocity potential as a product of powers of the depth of flow. A time stepping finite difference method is used to solve the derived equation. Numerical results are compared to hydraulic model results. The result with the non-linear dispersive wave equation can describe an interesting transformation a sinusoidal wave to one with a cnoidal aspect of a rapid degradation into modulated high frequency waves and transient secondary waves in an intermediate region. The amplitude dispersion of the primary wave crest results in a convex wave front after passing through the shoal and the secondary waves generated by the shoal diffracted in a radial manner into surrounding waters.

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