• Title/Summary/Keyword: Lagrangian particle tracking

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Lagrangian Investigation of Turbulent Channel Flow (I) - An Assessment of Particle Tracking Algorithms - (난류채널유동의 라그란지안 해석 (I)- 입자추적 알고리듬 평가 -)

  • Choi, Jung-Il;Lee, Chang-Hoon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.7
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    • pp.859-866
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    • 2003
  • The Lagrangian dispserion of fluid particles in inhomogeneous turbulence is investigated by a direct numerical simulation of turbulent channel flow. Fluid particle velocity and acceleration along a particle trajectory are computed by employing several interpolation schemes such as linear interpolation, high-order Lagrange polynomial interpolation and the Hermite interpolation schemes. The performances of the schemes are evaluated through comparison of errors in computed particle positions, velocities and accelerations against spectral interpolation. Adopting the four-point Hermite interpolation in the homogeneous directions and Chebyshev polynomials in the wall-normal direction appears to produce most reliable Lagrangian statistics including acceleration correlations with a reasonable amount of computational overhead.

Tracing the trajectory of pelagic Sargassum using satellite monitoring and Lagrangian transport simulations in the East China Sea and Yellow Sea

  • Kwon, Kyungman;Choi, Byoung-Ju;Kim, Kwang Young;Kim, Keunyong
    • ALGAE
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    • v.34 no.4
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    • pp.315-326
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    • 2019
  • Northeastward drifts of massive Sargassum patches were observed in the East China Sea (ECS) and Yellow Sea (YS) by the Geostationary Ocean Color Imager (GOCI) in May 2017. Coverage of the brown macroalgae patches was the largest ever recorded in the ECS and YS. Three-dimensional circulation modeling and Lagrangian particle tracking simulations were conducted to reproduce drifting trajectories of the macroalgae patches. The trajectories of the macroalgae patches were controlled by winds as well as surface currents. A windage (leeway) factor of 1% was chosen based on sensitivity simulations. Southerly winds in May 2017 contributed to farther northward intrusion of the brown macroalgae into the YS. Although satellite observation and numerical modeling have their own limitations and associated uncertainties, the two methods can be combined to find the best estimate of Sargassum patch trajectories. When satellites were unable to capture all patches because of clouds and sea fog in the ECS and YS, the Lagrangian particle tracking model helped to track and restore the missing patches in satellite images. This study suggests that satellite monitoring and numerical modeling are complementary to ensure accurate tracking of macroalgae patches in the ECS and YS.

Lagrangian Investigation of Turbulent Channel Flow (II) - Analysis of Lagrangian Statistics - (난류채널유동의 라그란지안 해석 (II) - 라그란지안 통계분석 -)

  • Choi, Ho-Jong;Lee, Sang-Hwan
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.7
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    • pp.867-876
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    • 2003
  • The Lagrangian dispersion of fluid particles in inhomogeneous turbulence is investigated by a direct numerical simulation of turbulent channel flow. Four points Hermite interpolation in the homogeneous direction and Chebyshev polynomials in the inhomogeneous direction is adopted to simulate the fluid particle dispersion. An inhomogeneity of Lagrangian statistics in turbulent boundary layer is investigated by releasing many particles at several different wall-normal locations and tracking those particles. The fluid particle dispersions and Lagrangian structure functions of velocity are scaled by the Kolmogorov similarity. The auto-correlations of velocity and acceleration are shown at the different releasing locations. Effect of initial particle location on the dispersion is analyzed by the probability density function at the several downstreams and time instants.

Study On Lagrangian Heat Source Tracking Method for Urban Thermal Environment Simulations (도시 열환경 시뮬레이션을 위한 라그랑지안 열원 역추적 기법의 연구)

  • Kim, Seogcheol;Lee, Joosung;Yun, Jeongim;Kang, Jonghwa;Kim, Wansoo
    • Journal of Korean Society for Atmospheric Environment
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    • v.33 no.6
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    • pp.583-592
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    • 2017
  • A method is proposed for locating the heat sources from temperature observations, and its applicability is investigated for urban thermal environment simulations. A Lagrangian particle dispersion model, which is originally built for simulating the pollutants spread in the air, is exploited to identify the heat sources by transporting the Lagrangian heat particles backwards in time. The urban wind fields are estimated using a diagnostic meteorological model incorporating the morphological model for the urban canopy. The proposed method is tested for the horizontally homogeneous urban boundary layer problems. The effects of the turbulence levels and the computational time on the simulation are investigated.

Particle tracking algorithm for the Lagrangian-Eulerian finite element method

  • 석희준
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2004.09a
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    • pp.97-100
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    • 2004
  • Multivariate Newton Raphson method is developed to perform the particle tracking in the three dimensional area using four objective functions. In this method, three variables are solved to compute target point and actual and real tracking time. The simulated pathlines in various types of three dimensional elements are well matched with exact pathline.

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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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The Application of Lagrangian Particle-Tracking Method to Modelling of Oil-Spill Dispersion (라그랑지안 입자추적법에 의한 유출유 확산모델링)

  • 정연철
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.3 no.1
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    • pp.73-83
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    • 1997
  • To predict the oil-spill dispersion in marine waters, the oil-spill dispersion model based on Lagrangian particle-tracking method was developed and applied to Kwangyang and Jinju Bay. The tidal current movements to be required as input data of the oil-spill dispersion model were obtained by a two-dimensional numerical tidal model. Evaluation of tidal current movements using mean tide was successful. Modelling results were compared with the field data obtained at spill site. There were some descrepancies between modeling results and field data. However, the general pattern of modelling results was similar to that of field data. Provided the real-time tidal currents and more accurate wind data are supported, more favorable results can be obtained.

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A Pollutant Transport Model by the Forward-Tracking Method (전방추적법에 의한 오염물질의 전송 모델)

    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.1
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    • pp.37-44
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    • 1998
  • In this study a new hybrid method is developed for solving flow-dominated transport problems accurately and effectively. The method takes the forward-tracking particle method for advection. However, differently from the random-walk Lagrangian approach it solves the diffusion process on the fixed Eulerian grids. Therefore, neither any interpolating algorithm nor a large enough number of particles is required. The method was successfully examined for both cases of instantaneous and continuous sources released at a point. Comparison with a surrounding 5-point Hermite polynomial method (Eulerian-Lagrangian method) and the random-walk pure Lagrangian method shows that the present method is superior in result accuracy and time-saving ability.

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Development of new integrated particle tracking techniques combining the numerical method, semi-analytical method, and analytical method (수치, 해석적, 준 해석적 및 해석적 방법을 통합한 새로운 입자추적기술 개발)

  • Suk, Hee-Jun
    • Journal of Soil and Groundwater Environment
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    • v.13 no.6
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    • pp.50-61
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    • 2008
  • In this study, new integrated particle tracking algorithm was developed to reduce the inherent problem of Eulerian- Lagrangian method, or adverse effect of particle tracking error on mass balance error. The new integrated particle tracking algorithm includes numerical method, semi-analytical method, and analytical method which consider both temporal and spatial changes of velocity field during time step. Detail of mathematical derivations is well illustrated and four examples are made to verify through the comparison of the new integrated particle tracking with analytical solution or Runge-Kutta method. Additionally, It was shown that the there is better superiority of the new integrated particle tracking algorithm over other existing particle tracking method such as Lu's method.

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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