• Title/Summary/Keyword: Advection-Diffusion

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LEAST-SQUARES METHOD FOR THE BUBBLE STABILIZATION BY THE GAUSS-NEWTON METHOD

  • Kim, Seung Soo;Lee, Yong Hun;Oh, Eun Jung
    • Honam Mathematical Journal
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    • v.38 no.1
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    • pp.47-57
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    • 2016
  • 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 least-squares solution which minimizes the sum of the squares of errors at each node points. Some numerical results are reported.

Numerical Simulation of Advection and Diffusion using the Local Wind Model in Kwangyang Bay, Korea (국지풍모델을 이용한 광양만권의 이류확산 수치모의)

  • ;;Akira Kondo
    • Journal of Korean Society for Atmospheric Environment
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    • v.18 no.1
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    • pp.1-10
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    • 2002
  • A three-dimensional numerical model which involved the nesting method was developed to reproduce the wind circulation of Kwangyang Bay area which comprises complicated mountains and sea topograph. The calculated results indicated geographical effects of Kwangyang Bay area, sea/land breezes and mount-valley wind which are local circular winds. We also noticed that the northern inland area of Kwangyang Bay formed the very complex wind systems under the influence of such geographic effects when a land breeze was not formed. A good agreement was found between predicted and observed values of temperature. In addition, the calculated results of the wind direction and the wind velocity are in accord with the observed values. They showed only a slight difference in between predicted and the observed values, when the sea breeze and the land breeze are changing.

Numerical Modeling of Pollutants using Local Wind Model in Gwangyang Bay, Korea (국지순환풍 모델을 이용한 광양만권 대기오염물질의 수치모델링)

  • 이상득
    • Journal of Korean Society for Atmospheric Environment
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    • v.19 no.1
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    • pp.13-23
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    • 2003
  • A local wind model and a three dimensional local environmental model including advection, diffusion, deposition. and photochemical reactions were performed at Gwangyang Bay, Korea, to predict air flow and air pollutants concentrations. A large grid was used, and nesting method was employed for small grid calculation. From the meterological module simulation, we were able to reproduce local wind characteristics such as sea/land winds and mountain/valley winds simulation at Gwangyang Bay. In addition, the concentration module showed high concentration regions at Yosu industrial complex, Gwangyang steel company. and Container anchor. It was also seen that air pollutants were dispersed by sea/land winds. A comparison between the measurement and the prediction of sulfur dioxide and nitric oxide, which are relatively low-reacted pollutants, was performed. However, the measured nitrogen dioxide and ozone concentrations were higher than the simulated ones. Particularly, ozone concentration between 8 a..m. and 8 p.m. agreed well, but the measured ozone during the rest of time were generally higher.

Hydraulic Studies on Recirculating Aquaculture Basin (순환여과식 사육수조의 수리학적 연구)

  • LEE Jong-Sup
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.27 no.2
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    • pp.173-182
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    • 1994
  • A numerical experiment on the effective discharge of waste materials caused in recirculating aquaculture basins was performed. The numerical model used in this study was a 4-level hydrodynamic and advection-diffusion model. Flow structures and settling processes of ss in the various mathematical model basins are discussed. The calculated flow fields of the numerical basin corresponded well with the measured velocity in field basin. In the cases of steep bottom slopes in 4/30, the non-dimensional tractive force($U{\ast}/U{\ast}_c$) which is all important parameter for the deposition pattern of waste materials was stronger than with the mild slope one. The settling pattern of ss depended considerably on the degree of bottom slope of basin. To concentrate deposited waste materials into the center discharge pipe, it is useful to design a cylindrical basin with a steeply conical bottom. In addition, to prevent movement of the deposit area away from the center, it is necessary to locate the circulating ducts at diametrically opposed points on the basin sides.

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PRELIMINARY MODELING FOR SOLUTE TRANSPORT IN A FRACTURED ZONE AT THE KOREA UNDERGROUND RESEARCH TUNNEL (KURT)

  • Park, Chung-Kyun;Lee, Jae-Kwang;Baik, Min-Hoon;Jeong, Jong-Tae
    • Nuclear Engineering and Technology
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    • v.44 no.1
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    • pp.79-88
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    • 2012
  • Migration tests were performed with conservative tracers in a fractured zone that had a single fracture of about 2.5 m distance at the KURT. To interpret the migration of the tracers in the fractured rock, a solute transport model was developed. A two dimensional variable aperture channel model was adopted to describe the fractured path and hydrology, and a particle tracking method was used for solute transport. The simulation tried not only to develop a migration model of solutes for open flow environments but also to produce ideas for a better understanding of solute behaviours in indefinable fracture zones by comparing them to experimental results. The results of our simulations and experiments are described as elution and breakthrough curves, and are quantified by momentum analysis. The main retardation mechanism of nonsorbing tracers, including matrixdiffusion, was investigated.

전압일정과 전류일정 조건에서의 동전기 정화 현상에 관한 해석

  • 김병일;김기년;이호진;김수삼
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2004.09a
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    • pp.203-206
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    • 2004
  • To analysis the electrokinetic phenomena in the ground dependent on the way of applied electric power, such as constant current and constant voltage, the governing equations are derived considering advection, diffusion, ionmigration, and then they were formulated using by finite difference method. The developed program is verified by comparing the tested and predicted results reported in present papers. The results indicate that the slightly small electrical potential is predicted for constant current and for constant voltage pH near to the cathode was small than the test results. But the other predictions including the final suction, pH of electrolyte and cumulative flow are similar to the test results and predictions.

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Estimation of Sedimentation and Particle Mixing Rates in Ulleung Basin of the East Sea (Sea of Japan) Using $^7Be,{\;}^{234}Th,{\;}^{210}Pb,{\;}and{\;}^{137}Cs$

  • Kim, Kee-Hyun;Park, Nam-Joon
    • Journal of the korean society of oceanography
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    • v.38 no.4
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    • pp.157-165
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    • 2003
  • In order to understand the characteristics of sedimentary environments in Ulleung Basin of the East Sea (Sea of Japan), three sediment cores were taken with a box corer during R/V Tamyang cruise in October 1999. Activities of $^{7}Be,{\;}^{210}Pb,{\;}^{226}Ra,{\;}^{234}Th,{\;}^{238}{\;}and{\;}^{137}Cs$ in sediment samples were determined by non-destructive gamma-ray spectrometry. Rates of sedimentation and particle mixing were estimated by best fitting an advection­diffusion particle mixing model to the data of $^{7}Be,{\;}^{234}Th,{\;}and{\;}^{210}Pb$. Estimated sedimentation rates were 0.06-0.08 cm/yr and particle mixing rates were $0.13-0.65{\;}\textrm{cm}^2/yr$. The use of multiple tracers in our study prevented us from probable up to 38% overestimation of sedimentation rates.

An Effective Numerical Method for the Prediction of Oil Spreading (누유확산 및 이동의 추정을 위한 효율적인 수치기법)

  • Song, J.U.;Rho, J.H.;Yoon, B.S.
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.3
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    • pp.113-118
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    • 1997
  • A simulation model and its numerical algorithm for the prediction of time-varying oil pollution region are proposed. Not only forces inducing molecular diffusion of oil but also oil advection due to the ocean surface current are considered in the present unified model Furthermore, an automatic modulation of computational grid is introduced to achieve more practical and effective numerical scheme. Applying the present method to some assumed oil spill cases, quite realistic oil maps are thought to be obtained.

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Migration of THO & Np in a Fractured Granite Core at Deep Underground Laboratory

  • PARK Chung-Kyun;CHO Won-Zin;HAHN Pil-Soo;KIENZLER B.
    • Proceedings of the Korean Radioactive Waste Society Conference
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    • 2005.06a
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    • pp.255-263
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    • 2005
  • Migration experiments of THO and 237Np have performed through a sampled granite core in Chemlab2 probe at the Aspo hard Rock laboratory. The elution curves of THO were analysed to determine hydraulic properties such as the extent of dispersion effect according to flow rates. The retardation phenomena of the solutes were observed and described with elution curves and migration plumes. After migration test, the rock core was opened, and the remaining radioactivities on the rock fracture surfaces were measured. The transport process was simulated with a two-dimensional channel model. The mass transport process was described with three types of basic processes ; advection, sorption and matrix diffusion. By the combination of these processes, effects of each process on transport were described in terms of elution curves and migration plumes. By comparing the simulation results to the experimental one, it was possible to analyse the retardation effect quantitatively.

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The Prediction of mixing with Helix Index for 3-Dimensional channel in micro (3 차원 마이크로 채널에서 나선지수에 의한 혼합예측)

  • Jung, Seung-Hoon;Maeng, Joo-Sung
    • Proceedings of the KSME Conference
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    • 2008.11b
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    • pp.2460-2464
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    • 2008
  • The present paper suggests new method to know the effects of molecular diffusion and the helicity of microchannel flows on mixing in passive micromixers, which are essential components of a microfluidic chip. In this study, 'Helix Index' is newly defined as the magnitude of chaotic advection. Relationship between Helix Index and Mixing Index is analyzed numerically such as the wide range of Peclet and Reynolds numbers in three dimensional serpentine microchannel when using soluble solutions (water/glycerol). As a result, a simple algebraic equation is derived by this relationship based on a regression analysis. The algebraic equation is found to be able to accurately predict the mixing performance without solving the coupled, complex momentum and mass transfer equations.

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