• Title/Summary/Keyword: Eulerian-Lagrangian Model

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A Study on Diesel Spray Combustion Modeling by Eulerian and Lagrangian Conditional Moment Closure Models (Eulerian 및 Lagrangian CMC 모델을 사용한 디젤분무연소 모델링에 관한 연구)

  • Kim, Woo Tae;Cho, Hyun Su;Huh, Kang Y.
    • 한국연소학회:학술대회논문집
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    • 2012.11a
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    • pp.195-198
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    • 2012
  • Numerical simulation is performed to evaluate the conditional moment closure (CMC) models for spray development, ignition, and turbulent combustion for the Engine Combustion Network (ECN) test cases. The CMC model is implemented in the open source code, OpenFOAM, to provide conditional flame structures through the solution of Eulerian as well as Lagrangian conditional transport equations. In spite of more accurate treatment of the convective term, Eulerian CMC provides similar ignition delays and lift-off lengths with Lagrangian CMC.

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Vessel Collision Analysis of an Underwater Slope using Coupled Eulerian-Lagrangian Scheme 1: Development of Analysis Model (Coupled Eulerian-Lagrangian 기법을 이용한 선박의 수중사면 충돌해석 1 : 해석모델의 개발)

  • Lee, Gyehee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.1
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    • pp.17-23
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    • 2020
  • In this study, the behaviors of a vessel and the ground during the vessel impacting an underwater slope that is part of an artificial protective island are analyzed using the coupled Eulerian-Lagrangian scheme. To consider the large deformation including the shear failure of soil, the Eulerian domain is used to model the ground and water, while the impacting objects are modeled as the Lagrangian domain. For efficiency, the mass scaling scheme is applied to the modeling of the impacting objects, and the ground is modeled by setting the Eulerian volume fraction values. To verify the applicability of the constructed model, a dynamic penetration anchor problem is analyzed. The impacting vessel is modeled using solid elements following the external shape of a container ship, and an analysis of a collision on the slope is performed. As a result, collision behaviors such as displacement, velocity, and dissipation energy are estimated, and the necessity of a parametric study as further research is established.

Suspended Solid Dispersion Analysis for Coastal Areas Using Hybrid Concept of Particle and Concentration of Eulerian-Lagrangian Model (Eulerian-Lagrangian 농도 및 입자 결합모형에 의한 연안의 부유사 확산해석)

  • 서승원
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.8 no.2
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    • pp.185-192
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    • 1996
  • In order to simulate the coastal dispersion effectively, hybrid concept of operator split Eulerian-lagrangian concentration model and random-walk particle tracking model are developed. Especially the random-walk model is adequate for region with steep slope of concentration. According to model tests, it agrees perfectly with analytical solution on around the source point for therefore. ▽C $\geq$ 0.005, meanwhile it shows poor results for ▽C$\leq$0.002. trial modeling for real situation therefore, random-walk model is applied for near field henceforth Eulerian-Lagrangian concentration model is adoped for whole domain so that overall performance and accuracy can be achieved by using developed hybrid model.

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Coastal Dispersion Analysis Using Two-Dimensional Eulerian-Lagrangian Model (2차원 Eulerian-Lagrangian 모형을 이용한 연안해역의 확산해석)

  • 서승원
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.3
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    • pp.173-181
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    • 1993
  • An improved two-dimensional Eulerian-Lagrangian convection-dispersion model was established after comparing several models. To simulate long term release of discontinuous suspended solid source from coastal dike construction, source was represented by Fourier transformation. It was concluded that this model can effectively simulate long term coastal dispersion problems.

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Comparison of ELLAM and LEZOOMPC for Developing an Efficient Modeling Technique (효율적인 수치 모델링 기법 개발을 위한 ELLAM과 LEZOOMPC의 비교분석)

  • Suk Hee-Jun
    • Journal of Soil and Groundwater Environment
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    • v.11 no.1
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    • pp.37-44
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    • 2006
  • This study summarizes advantages and disadvantages of numerical methods and compares ELLAM and LEZOOMPC to develop an efficient numerical modeling technique on contaminant transport. Eulerian-Lagrangian method and Eulerian method are commonly used numerical techniques. However Eulerian-Lagrangian method does not conserve mass globally and fails to treat boundary in a straightforward manner. Also, Eulerian method has restrictions on the size of Courant number and mesh Peclet number because of time truncation error. ELLAM (Eulerian Lagrangian Localized Adjoint Method) which has been popularly used for past 10 years in numerical modeling, is known for overcoming these numerical problems of Eulerian-Lagrangian method and Eulerian method. However, this study investigates advantages and disadvantages of ELLAM and suggests a change for the better. To figure out the disadvantages of ELLAM, the results of ELLAM, LEZOOMPC (Lagrangian-Eulerian ZOOMing Peak and valley Capturing), and visual MODFLOW are compared for four examples having different mesh Peclet numbers. The result of ELLAM generates numerical oscillation at infinite of mesh Peclet number, but that of LEZOOMPC yields accurate simulations. The simulation results suggest that the numerical error of ELLAM could be alleviated by adopting some schemes in LEZOOMPC. In other words, the numerical model which combines ELLAM with backward particle tracking, forward particle tracking, adaptively local zooming, and peak/valley capturing of LEZOOMPC can be developed for not only overcoming the numerical error of ELLAM, but also keeping the numerical advantage of ELLAM.

Prediction of Pollutant Transport using by Eulerian-lagrangian (Eulerian-Lagrangian Analysis(ELA) 모형을 이용한 오염물질이동 예측)

  • 최병옥;권순국
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.36 no.1
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    • pp.128-140
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    • 1994
  • Coastal areas, especially embayments are apt to be polluted easily and many embayments in Korea are already suffering from pollution problems. To manage such pollution, it is strongly needed to develop technique to trace movements of pollution. Such technique cove- ring the embayment affected by the tidal influence, should take account both of the convection and the diffusion motions which cause lots of problems in numerical calculation. In this study, a Eulerian-Lagrangian Analysis(ELA) model was applied to Young Il bay and tested for its applicablity, which was developed by using the Eulerian-Lagrangian Method that reduce the numerical disperison and oscillation by way of solving convection and diffusion terrns separately. Concentration of Chemical Oxygen Demand(COD) and Suspend Solid(SS) of the embay- ment area were estimated by the model and compared with the observed values and the sound results were obtained. At the same time the diffsion coefficient and decay coefficient for Chemical Oxygen Demand in the Young II Bay were found as Dx = Dy = 20m$^2$/sec, kd=2.5 ${\times}$ 10-5/sec respectively, and for Suspend Solid, Dx =Dy = 30m$^2$/sec, kd=5.0${\times}$ 10-5/sec

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Eulerian-Lagrangian Modeling of One-Dimensional Dispersion Equation in Nonuniform Flow (부등류조건에서 종확산방정식의 Eulerian-Lagrangian 모형)

  • 김대근;서일원
    • Journal of Environmental Science International
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    • v.11 no.9
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    • pp.907-914
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    • 2002
  • Various Eulerian-Lagrangian models for the one-dimensional longitudinal dispersion equation in nonuniform flow were studied comparatively. In the models studied, the transport equation was decoupled into two component parts by the operator-splitting approach; one part is governing advection and the other is governing dispersion. The advection equation has been solved by using the method of characteristics following fluid particles along the characteristic line and the results were interpolated onto an Eulerian grid on which the dispersion equation was solved by Crank-Nicholson type finite difference method. In the solution of the advection equation, Lagrange fifth, cubic spline, Hermite third and fifth interpolating polynomials were tested by numerical experiment and theoretical error analysis. Among these, Hermite interpolating polynomials are generally superior to Lagrange and cubic spline interpolating polynomials in reducing both dissipation and dispersion errors.

Thermal Dispersion Analysis Using Semi-Active Particle Tracking in Near Field Combined with Two-Dimensional Eulerian-Lagrangian Far Field Model (근역에서 부력입자추적모형을 적용한 Eulerian-Lagrangian 결합에 의한 온수확산)

    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.2
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    • pp.73-82
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    • 1998
  • In order to simulate surface discharged heat dispersion in costal area, a 2-dimensional Eulerian-Lagrangian model for far field and semi-active particle tracking random walk model in near field has been combined. The mass of discharged heat water in near field has treated as particles with buoyancy and this is eventually converted to horizontal additive dispersion in random walk equations. This model is applied to both a simplified coastal geometry and a real site. In simple application it can simulate plume-like characteristics around discharging point than a near field-model, CORMIX/3. Actual application in the Chonsu Bay shows farther spreading of heat water in near field comparing the observed data, and this shows that the developed model might be applied with satisfaction.

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Using a Lagrangian-Lagrangian approach for studying flow behavior inside a bubble column

  • YoungWoo Son;Cheol-O Ahn;SangHwan Lee
    • Nuclear Engineering and Technology
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    • v.55 no.12
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    • pp.4395-4407
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    • 2023
  • Bubble columns are widely encountered in several industries, especially in the field of nuclear safety. The Eulerian-Eulerian and the Eulerian-Lagrangian methods are commonly used to investigate bubble columns. Eulerian approaches require additional tasks such as strict volume conservation at the interface and a predefined well-structured grid. In contrast, the Lagrangian approach can be easily implemented. Hence, we introduce a fully Lagrangian approach for the simulation of bubble columns using the discrete bubble model (DBM) and moving particle semi-implicit (MPS) methods. Additionally, we propose a rigorous method to estimate the volume fraction accurately, and verified it through experimental data and analytical results. The MPS method was compared with the experimental data of Dambreak. The DBM was verified by analyzing the terminal velocity of a single bubble for each bubble size. It agreed with the analytical results for each of the four drag correlations. Additionally, the improved method for calculating the volume fraction showed agreement with the Ergun equation for the pressure drop in a packed bed. The implemented MPS-DBM was used to simulate the bubble column, and the results were compared with the experimental results. We demonstrated that the MPS-DBM was in quantitative agreement with the experimental data.

Bubble-driven Convective Flow in the Liquid with Temperature Gradient (온도구배가 있는 액체 내에서 기포가 유발하는 대류유동)

  • Bae, Dae-Seok;Kim, Jeong-Soo
    • Journal of the Korean Society of Propulsion Engineers
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    • v.15 no.4
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    • pp.65-72
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    • 2011
  • Numerical simulation has been performed to investigate the bubbly flow in the liquid with vertical temperature gradient. The objective of this study is to establish an accurate numerical prediction program of gas-liquid two-phase flows in a vertical temperature gradient condition, whose mathematical model is formulated by the Eulerian-Lagrangian model. The present numerical results reveal the temperature mixing mechanism and the fluid dynamical characteristics induced by the bubbly flow in the liquid with stratified temperature. The effects of bubble radius, void fraction, and gas flow rate on bubble-driven convective flow are considered, too.