• Title/Summary/Keyword: advection-diffusion

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Study on the Finite Element Discretization of the Level Set Redistancing Algorithm (Level Set Redistancing 알고리즘의 유한요소 이산화 기법에 대한 연구)

  • Kang Sungwoo;Yoo Jung Yul;Lee Yoon Pyo;Choi HyoungGwon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.6 s.237
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    • pp.703-710
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    • 2005
  • A finite element discretization of the advection and redistancing equations of level set method has been studied. It has been shown that Galerkin spatial discretization combined with Crank-Nicolson temporal discretization of the advection equation of level set yields a good result and that consistent streamline upwind Petrov-Galerkin(CSUPG) discretization of the redistancing equation gives satisfactory solutions for two test problems while the solutions of streamline upwind Petrov-Galerkin(SUPG) discretization are dissipated by the numerical diffusion added for the stability of a hyperbolic system. Furthermore, it has been found that the solutions obtained by CSUPG method are comparable to those by second order ENO method.

Assessing the Influence Radius of a Water Treatment System Installed in a Reservoir Using Tracer Experiment and 3D Numerical Simulation (추적자 실험 및 3차원 수치모의를 이용한 저수지 수처리 장치의 영향반경 평가)

  • Park, Hyung Seok;Lee, Eun Ju;Ji, Hyun Seo;Choi, Sun Hwa;Chun, Se Woong
    • Journal of Korean Society of Water Science and Technology
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    • v.26 no.6
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    • pp.3-12
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    • 2018
  • The objective of this study was to evaluate the radius of influence of effluent of water treatment system developed for the purpose of improvement of reservoir water quality using fluorescent dye (Rhodamine-WT) tracer experiment and 3-D numerical model. The tracer experiment was carried out in a medium-sized agricultural reservoir with a storage capacity of $227,000m^3$ and an average depth of 1.6 m. A guideline with a total length of 160 m was installed at intervals of 10 m in the horizontal direction from the discharge part, and a Rhodamine measurement sensor (YSI 6130, measurement range $0-200{\mu}g/L$) was used to measure concentration changes in time, distance, and depth. Experimental design was established in advance through Jet theory and the diffusion process was simulated using ELCOM, a three dimensional hydraulic dynamics model. As a result of the study, the direct effect radius of the jet emitted from the applied water treatment system was about 50-70 m, and the radius of physical effect by the advection diffusion was judged to be 100-120 m. The numerical simulations of effluent advection-diffusion of the water treatment system using ELCOM showed very similar results to those of the impact radius analysis using the tracer experiment and jet flow empirical equations. The results provide valuable information on the spatial extent of the water quality improvement devices installed in the reservoir and the facility layout design.

3-D Numerical Prediction Modeling of Air Pollution in Coastal Urban Region - II. Movement and Diffusion Prediction of Air Pollutants - (연안도시지역에서 대기오염의 3차원 수치예측모델링 -II. 대기오염물질의 이동과 화산예측-)

  • gyeong-Mee Won;Hwa-Woon Lee
    • Journal of Environmental Science International
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    • v.10 no.5
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    • pp.343-350
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    • 2001
  • To investigate air quality away from the coastal urban source region, we used a hybrid Eulerian - Lagrangian method which can describe the formation, transport, transform and deposition processes in complex terrain, with inclusion of shipping sources that were considered to be important emission in the coastal urban region. The result of the Eulerian advection - diffusion prediction was quite similar to that of the Lagrangian particle diffusion prediction. It showed that pollutants emitted from Sasang and Janglim industrial complexes can affect Hwamyeong and the coastal, respectively. During the daytime the concentration was low due to large deposition flux and terrain effect.

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Behavior of Gaseous Volatile Organic Compounds Considered by Density-Dependent Gas Advection (밀도차에 의해 발생하는 이송을 고려한 휘발성 유기화합물 가스의 거동)

  • 이창수;이영화
    • Journal of Environmental Science International
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    • v.11 no.12
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    • pp.1321-1326
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    • 2002
  • A numerical model is investigated to predict a behavior of the gaseous volatile organic compounds and a subsurface contamination caused by them in the unsaturated zone. Two dimensional advective-dispersion equation caused by a density difference and two dimensional diffusion equation are computed by a finite difference method in the numerical model. A laboratory experiment is also carried out to compare the results of the numerical model. The dimensions of the experimental plume are 1.2m in length, 0.5m in height, and 0.05m in thickness. In comparing the result of 2 methods used in the numerical model with the one of the experiment respectively, the one of the advective-dispersion equation shows better than the one the diffusion equation.

A Study on the Change of Water Quality in the Vicinity of Mokpo Harbor Due to the Discharges from Yongsan River Estuary Weir and Yongam-Kumho Sea Dike (영산강 하구둑과 영암-금호방조제 방류에 의한 목포항 주변 수역의 수질변화에 관한 연구)

  • 정대득;이중우;국승기
    • Journal of Korean Port Research
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    • v.13 no.2
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    • pp.419-426
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    • 1999
  • It is essential for port planning, coastal zone management and environmental impact study to analyze the variation of current and water quality due to the development of water area and discharged water from estuary barrage and basin etc. Mokpo sea area downstreams from a long river and two large basins, the Yongsan river and Yongam-Kumho basins discharging much of water through water gates for the purpose of flood control and prohibition of salt intrusion to the inland fresh water area. In this study, the numerical calculations were carried out for the analysis of diffusion characteristics due to discharging operation, adapting the results of tidal current simulation ADI methord is applied to the governing equation for the movement of sea water and diffusion and 6-point method to the advection terms of diffusion equation. As the results of this study, it is known that the discharging operation causes increasing and/or decreasing of current velocity and enlarging and/or depressing of pollutant diffusion limits depending on the distance from the discharging gates and the mode of discharging operation. To utilize these result, the linked gate operation and the method increasing exchange of sea water must be considered.

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A Study on the Charge of Water Quality in the Vicinity of Mokpo Harbor due to the Discharges from Yongsan River Estuary Weir and Yongam-Kumho Sea Dike (영산강 하구둑과 영얌-금호방조제 방류에 의한 목포항 주변 수역의 수질변화에 관한 연구)

  • 정대득;이중우;국승기
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 1999.10a
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    • pp.253-261
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    • 1999
  • It is essential for port planning, coastal zone management and environmental impact study to analyze the variation of current and water quality due to the development of water area and discharged water from the estuary barrage and basin, etc. Mokpo sea area has downstream from a long river and two large basins, the Yongsan river and Yongam-Kumho basins, discharging much of water through water gates for the purpose of flood and prohibition of salt intrusion to the inland fresh water area. In this study, the numerical calculation were carried out for the analysis of diffusion characteristics due to discharging operation, adopting the results of tidal current simulation. ADI method is applied to the governing equation for the movement of sea water and diffusion and 6-point method to the advection terms of diffusion equation. As the results of this study, it is known that the discharging operation causes increasing and/or decreasing of current velocity and enlarging and/or depressing of pollutant diffusion limits depending on the distance from the discharging gates and the modes of discharging operation. To utilize these result, the linked gate operation and the method increasing exchange of sea water must be considered.

Numerical Analysis for Bed Changes due to Sediment Transport Capacity Formulas and Sediment Transport Modes at the Upstream Approached Channel of the Nakdong River Estuary Barrage (낙동강하구둑 상류 접근수로에서의 유사량 공식 및 유사 이송형태에 따른 하상변동 수치모의에 관한 연구)

  • Ji, Un;Yeo, Woon-Kwang;Han, Seung-Won
    • Journal of Korea Water Resources Association
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    • v.43 no.6
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    • pp.543-557
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    • 2010
  • The effects of the selection for sediment transport equations and advection-diffusion equations according to different sediment transport modes on the modeling results of bed changes were analyzed using the CCHE2D and compared with field data in this paper. The most suitable sediment transport equation and sediment transport mode for advection-diffusion equation were suggested for the upstream approached channel of the Nakdong River Estuary Barrage. The bed changes simulated by the Engelund and Hansen formula were very small in the modeling case for the low and high flow discharges compared with the case of the Ackers and White formula. Also, the numerical modeling with the actual hydraulic event in 2002 presents that the bed change result with the bed load transport type for advection-diffusion equation was close to the field measurement more than the suspended load type.

OPTIMIZATION FOR THE BUBBLE STABILIZED LEGENDRE GALERKIN METHODS BY STEEPEST DESCENT METHOD

  • Kim, Seung Soo;Lee, Yong Hun;Oh, Eun Jung
    • Honam Mathematical Journal
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    • v.36 no.4
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    • pp.755-766
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    • 2014
  • In the discrete formulation of the bubble stabilized Legendre Galerkin methods, the system of equations includes the artificial viscosity term as the parameter. We investigate the estimation of this parameter to get the optimal solution which minimizes the maximum error. Some numerical results are reported.

Distribution and Characteristic of Transport Mechanism of Eggs and Larvae of Anchovy, Engraulis japonica, in the Southwestern Sea of Korea in July and November, 2001 (2001년 7월과 11월의 한국남해 서부해역에서의 멸치(Anchovy, Engraulis Japonica) 어란과 자 · 치어의 분포 및 수송 특성)

  • KIM Sang-Hyun;PANG Ig-Chan
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.38 no.5
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    • pp.331-341
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    • 2005
  • Distribution of anchovy (Engraulis japonica) eggs and larvae was studied in the southwestern sea of Korea in July and November, 2001. Anchovy eggs were found mainly in the oceanic fronts of the northern sea area which were formed in the offshore area of Chuja Is. Bogil Is. and Chungsan Is. from west to east. Anchovy eggs were also found in the surrounding sea of Cheju Is. in the southern sea front area. The waters were highly heterogeneous and the water masses were bordered based on temperature $(10.8-26.4^{\circ}C)$ and salinity (28.9-33.7 psu). The anchovy eggs were mostly found outside of the China Coastal Water, where salinity was below 31 psu. The anchovy eggs were not found in November. Abundance of the anchovy larvae were higher in July than November. Temperature ranged from $10.8^{\circ}C\;to\;25.9^{\circ}C\;and\;15.9^{\circ}C\;to\;20.5^{\circ}C$, and salinity ranged from 28.9psu to 34.1psu and 33.2psu to 34.1psu in July and November, respectively. Non-swimmable larvae were found throughout the whole area of the southwestern sea of Korea. The area beyond the oceanic front had anchovy eggs dispersed from the spawning grounds to offshore. Dispersion pattern showed that the eggs were transported from the spawning grounds with a process of advection and diffusion based on the flow pattern which were caused by winds. Distribution pattern of the anchovy eggs and larvae may be used for the prediction of oceanic currents in each area.