• Title/Summary/Keyword: Dispersion equation

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BAYQUAL Model for the Water Quality Simulation of a Bay Using Finite Element Method (유한요소법에 의한 하구의 수질모델 BAYQUAL)

  • 류병로;한양수
    • Journal of Environmental Science International
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    • v.8 no.3
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    • pp.355-361
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    • 1999
  • The aim of this study is to develop the water quality simulation model (BAYQUAL) that deal with the physical, chemical and biological aspects of fate/behavior of pollutants in the bay. BAYQUAL is a two dimensional, time-variable finite element water quality model based on the flow simulation model in bay(BAYFLOW). The algorithm is composed of a hydrodynamic module which solves the equations of motion and continuity, a pollutnat dispersion module which solves the dispersion-advection equation. The applicability and feasibility of the model are discussed by applications of the model to the Kwangyang bay of south coastal waters of Korea. Based on the field data, the BAYQUAL model was calibrated and verified. The results were in good agreement with measured value within relative error of 14% for COD, T-N, T-P. Numerical simulations of velocity components and tide amplitude(M2) were agreed closely with the actual data.

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Numerical Study of Turbulent Swirling Isothermal and Spray-Combusting Flows (난류선회 등온 및 분무연소 유동에 대한 수치해석)

  • 김성구;안국영;김용모;이창식
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.5
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    • pp.130-141
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    • 1996
  • Numerical study of a confined, swirling, isothermal and spray-combusting flows has been presented. The pressure-velocity coupling in the Eulerian gas-phase equation is handled by the improved PISO algorithm. The droplet dispersion by turbulence is introduced by a Stochastic Separated Flow(SSF) model. The k-$\varepsilon$ turbulence model and the eddy dissipation model are employed to account for turbulence-combustion interaction. The detailed comparison with experimental data has been made for the isothermal jet swirling flows and the nearly monodisperse spray-combusting flow in the swirl combustor.

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유선 시뮬레이션 기법과 준해석해를 이용한 용질 거동 분석

  • 정대인;최종근;박광원
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2004.04a
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    • pp.57-62
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    • 2004
  • Streamline simulation researches have been extensively accomplished due to the swiftness of computation and the reduction of numerical dispersion. In this study, we developed a streamline simulation model using a semianalytical solution of ID transport equation. To validate accuracy of the developed model, we compared simulation results of contaminant transport, which were acquired by streamline simulation models using an analytical solution, a numerical solution, and a semianalytical solution. The developed model using the semianalytical solution matched well with the model using an analytical solution. However, streamline simulation model using a numerical solution showed numerical dispersion. For an advection-dominant flow, there was little difference in the simulation results between the developed model and tile analytical model, but the differences between the analytical model and the numerical model were cleary shown. From the comparison of computing time we know that the streamline simulation using the semianalytical solution is 2-60 times as fast as the streamline simulation using the numerical solution.

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A Numerical Study on the Toxic Gaseous and Solid Pollutant Dispersion in an Open Atmosphere (고-기상 유해물질 대기확산에 관한 수치해석)

  • 이선경;송은영;장동순
    • Journal of the Korean Society of Safety
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    • v.9 no.1
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    • pp.146-154
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    • 1994
  • A series of numerical calculations are performed in order to investigate the dispersion mechanism of toxic gaseous and solid pollutants in extremely short-term and short range. The calculations are carried out in an open space characterized by turbulent boundary layer. The simulation is made by the use of numerical model, in which a control-volume based finite difference method is used together with the SIMPLEC algorithm for the resolution of the pressure-velocity coupling problem. The Reynolds stresses are solved by two-equation, k-$\varepsilon$ model modified for buoyancy. The major parameters consider-ed in this study are temperature, velocity and Injection height of toxic gases, environmental conditions such as temperature and velocity of free stream air, and topographic factor. The results are presented and discussed in detail. The flow field is commonly characterized by the formation of a strong recirculation zone due to the upward motion of the hot toxic gas and ground shear stress. The driving force of the upward motion is explained by the effect of thermal buoyancy of hot gas and the difference of inlet velocity between toxic gas and free stream.

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Numerical Studies for Application of the SASW Method in an Inclined Soil Layer (경사지반에서 SASW기법 적용시 수치해석을 이용한 영향요소 연구)

  • 김동수
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2001.04a
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    • pp.108-119
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    • 2001
  • The Spectral Analysis of surface Waves(SASW) Method has a great has a great potential for rapid determination of shear wave velocity profile of ground. However, it has an inherent limitation in the interpretation of test results due to the assumption that the ground is layered horizontally. The reason of the assumption is that difficulties exist in obtaining analytical solutions of wave equation when a soil system is composed of inclined soil layer. In this study, a finite-element method has been employed to assess the effects of dip angle and stiffness contrast of inclined soil layers and the testing direction on the dispersion curve. The propagation of wave front in the inclined soil layer was also investigated. The results indicated that the influence of dip angle on the dispersion curve is getting obvious as the dip angle increases and the propagation of wave front in the inclined layer also entirely different compared with the case of the horizontal layer.

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Utilization of Centrifuge Test in Geoenvironmental Engineering: Consolidation and Contaminant Transport at Capped Dredged Sediment (원심모형실험의 지반환경공학적 이용: 캡핑된 준설퇴적토의 압밀과 오염원 이동)

  • Kim, Tae-Hyung;Kang, Ki-Min;Lee, Jeong-Woo;Jung, Su-Jung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.1060-1067
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    • 2006
  • Sandy soils are generally used as a capping material to reduce the pollutants transport from the contaminated dredged sediment. However, dredged material capping is not widely used because regulatory agencies are concerned about the potential for contaminants migration through the cap. Movement of contaminated pore water from sediment into cap is mainly related to sediment consolidation during and after cap placement. To evaluate the significance of consolidation induced transport of contaminants from sediment into cap, research centrifuge tests were conducted. Centrifuge test results illustrate that advection and dispersion are the dominant contaminants transport processes and that capping reduces the potential of contaminant migration from the dredged sediment effectively.

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Influence of microstructure, heterogeneity and internal friction on SH waves propagation in a viscoelastic layer overlying a couple stress substrate

  • Sharma, Vikas;Kumar, Satish
    • Structural Engineering and Mechanics
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    • v.57 no.4
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    • pp.703-716
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    • 2016
  • In this paper, we have investigated shear horizontal wave propagation in a layered structure, consisting of granular macromorphic rock (Dionysos Marble) substrate underlying a viscoelastic layer of finite thickness. SH waves characteristics are affected by the material properties of both substrate and the coating. The effects of microstructural parameter "characteristic length" of the substrate, along with heterogeneity, internal friction and thickness of viscoelastic layer are studied on the dispersion curves. Dispersion equation for SH wave is derived. Real and damping phase velocities of SH waves are studied against dimensionless wave number, for different combinations of various parameters involved in the problem.

Torsional surface waves in a non-homogeneous isotropic layer over viscoelastic half-space

  • Kakar, Rajneesh;Gupta, Kishan Chand
    • Interaction and multiscale mechanics
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    • v.6 no.1
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    • pp.1-14
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    • 2013
  • The aim of this paper is to study the propagation of torsional surface waves in non-homogeneous isotropic layer of finite thickness placed over a homogeneous viscoelastic half-space, when both density and rigidity of the non-homogeneous medium are assumed to vary exponentially with depth. The frequency equations are obtained by using simple method of separation of variables. Further, it is seen that when viscoelastic parameter and non-homogeneity parameter is neglected, the dispersion equation gives the dispersion equations of Love waves in homogeneous, elastic and isotropic layer placed over homogeneous viscoelastic medium. The problem has been solved numerically and the effects of various inhomogeneities of the medium on torsional waves have been illustrated graphically.

Transverse Dispersion of Pollutant Solute in the Nonuniform Natural Channel - By Using the Cumulative Discharge Model - (불규칙한 자연하천에서 오염물질의 횡확산 - 누적유량 Model을 이용하여 -)

  • 강주복;박상길
    • Water for future
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    • v.23 no.2
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    • pp.213-225
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    • 1990
  • A mathematical model is presented for predicting the steady state two-demensional distribution of solute concentration in the meandering nonuniform natural channel. The dispersion equation derived herein employs the transverse cumulative discharge as an independent variable replacing the transverse distance and that it is developed in an orthogonal curvilinear coordinnate system which follows the flow direction of natural channel. The prediction from the results of numerical model are compared with laboratory experiment data. It is found that results from simulation and experiments are in good agreement.

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SIMULTANEOUS DETERMINATION OF OPTICAL CONSTANTS AND DEPTH-PROFILE OF SPUTTERED AMORPHOUS TiO$_2$ THIN FILMS

  • Rhee, Sung-Gyu;Lee, Soon-Il;Oh, Soo-Ghee
    • Journal of the Korean institute of surface engineering
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    • v.29 no.6
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    • pp.654-659
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    • 1996
  • Amorphous $TiO_2$ thin films were deposited on silicon substrates by the RF magnetron sputtering under various conditions, and studied by the spectroscopic ellipsometry (SE). To determine the optical constants as a function of photon energy and also to depth-profile the as-deposited $TiO_2$ thin films, we analyzed the ellipsometric spectra using the effective medium approximation and the dispersion equations. Especially, we improved the modeling accuracy by selectively using either the Sellmeier or the Forouhi and Bloomer dispersion equation in different energy regions.

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