• Title/Summary/Keyword: Lagrangian Stochastic Model

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A New Lagrangian Stochastic Model for Prediction of Particle Dispersion in Turbulent Boundary Layer Flow (경계층 유동에서 입자확산의 예측을 위한 라그랑지안 확률모델)

  • Kim, Byung-Gu;Lee, Chang-Hoon
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1851-1856
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    • 2003
  • A new Lagrangian stochastic dispersion model is developed by combining the GLM(generalized Langevin model) and the elliptic relaxation method. Under the physically plausible assumptions a simple analytical solution of elliptic relaxation is obtained. To compare the performance of our model with other model, the statistics of particle velocity as well as concentration are investigated. Numerical simulation results show good agreement with available experimental data.

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A Lagrangian Stochastic Model for Turbulent Dispersion

  • Lee, Changhoon;Kim, Byunggu;Kim, Namhyun
    • Journal of Mechanical Science and Technology
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    • v.15 no.12
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    • pp.1683-1690
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    • 2001
  • A Lagrangian stochastic model is adopted for the calculations of turbulent dispersion in turbulent channel flows. Dispersion of a fluid particle and relative dispersion between two particles released at the sane location are investigated and compared with the classical seating relations for homogeneous turbulence. The viscous effect is realized by adding a Browinian random walk to the calculation of the position of a particle. The near-wall accumulation of particles is examined.

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A Lagrangian Stochastic Model for Dense Gas Dispersion in the Neutrally-stratified Atmospheric Surface Layer (이상적인 중립 대기경계층에서 고밀도가스의 확산예측을 위한 라그랑지안 확률모델)

  • Kim, Byung-Gu;Lee, Changhoon
    • Journal of Korean Society for Atmospheric Environment
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    • v.21 no.5
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    • pp.537-545
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    • 2005
  • A new dispersion model for dense gas is constructed in the Lagrangian framework. Prediction of concentration by the proposed model is compared with measure data obtained in the experiment conducted in Thorney Island in 1984. Two major effects of dense gas dispersion, gravity slumping and stratification effect, are successfully incorporated into LDM (Lagrangian dense gas model). Entrainment effect is naturally modelled by introducing stochastic dispersion model with the effect of turbulence suppression by stratification. Not only various releasing conditions but also complex terrain can be extended to, although proposed model is appropriate for flat terrain.

The Third National Congress on Fluids Engineering: (제 4 회 한국 유체공학 학술대회)

  • Kim, Kyung-Rock;Jung, Jae-Dal;Lee, Chang-Hoon
    • 유체기계공업학회:학술대회논문집
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    • 2006.08a
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    • pp.433-436
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    • 2006
  • In this study we perform Lagrangian stochastic model simulation for heavy particle. Reynolds(2002) construct simple LSM for heavy particle, which lack in detailed parameter study and statistics of turbulent flow within his paper. we investigate more simple but important turbulent statistics such as autocorrelation for velocity and acceleration, Lagrangian structure function and dispersion statistics parameterized by using DNS.

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Evaluation of One-particle Stochastic Lagrangian Models in Horizontally - homogeneous Neutrally - stratified Atmospheric Surface Layer (이상적인 중립 대기경계층에서 라그랑지안 단일입자 모델의 평가)

  • 김석철
    • Journal of Korean Society for Atmospheric Environment
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    • v.19 no.4
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    • pp.397-414
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    • 2003
  • The performance of one-particle stochastic Lagrangian models for passive tracer dispersion are evaluated against measurements in horizontally-homogeneous neutrally-stratified atmospheric surface layer. State-of-the-technology models as well as classical Langevin models, all in class of well mixed models are numerically implemented for inter-model comparison study. Model results (far-downstream asymptotic behavior and vertical profiles of the time averaged concentrations, concentration fluxes, and concentration fluctuations) are compared with the reported measurements. The results are: 1) the far-downstream asymptotic trends of all models except Reynolds model agree well with Garger and Zhukov's measurements. 2) profiles of the average concentrations and vertical concentration fluxes by all models except Reynolds model show good agreement with Raupach and Legg's experimental data. Reynolds model produces horizontal concentration flux profiles most close to measurements, yet all other models fail severely. 3) With temporally correlated emissions, one-particle models seems to simulate fairly the concentration fluctuations induced by plume meandering, when the statistical random noises are removed from the calculated concentration fluctuations. Analytical expression for the statistical random noise of one-particle model is presented. This study finds no indication that recent models of most delicate theoretical background are superior to the simple Langevin model in accuracy and numerical performance at well.

Numerical Simulation of Buoyant flume Dispersion in a Stratified Atmosphere Using a Lagrangian Stochastic Model

  • Kim, Hyun-Goo;Noh, Yoo-Jeong;Lee, Choung-Mook;Park, Don-Bum
    • Journal of Mechanical Science and Technology
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    • v.17 no.3
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    • pp.440-448
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    • 2003
  • In the present paper, numerical simulations of buoyant plume dispersion in a neutral and stable atmospheric boundary layer have been carride out. A Lagrangian Stochastic Model (LSM) with a Non-Linear Eddy Viscosity Model (NLEVM) for turbulence is used to generate a Reynolds stress field as an input condition of dispersion simulation. A modified plume-rise equation is included in dispersion simulation in order to consider momentum effect in an initial stage of plume rise resulting in an improved prediction by comparing with the experimental data. The LSM is validated by comparing with the prediction of an Eulerian Dispersion Model (EDM) and by the measured results of vertical profiles of mean concentration in the downstream of an elevated source in an atmospheric boundary layer. The LSM predicts accurate results especially in the vicinity of the source where the EDM underestimates the peak concentration by 40% due to inherent limitations of gradient diffusion theory. As a verification study, the LSM simulation of buoyant plume dispersions under a neutral and stable atmospheric condition is compared with a wind-tunnel experiment, which shows good qualitative agreements.

Comparison of uniform and spatially varying ground motion effects on the stochastic response of fluid-structure interaction systems

  • Bilici, Yasemin;Bayraktar, Alemdar;Adanur, Suleyman
    • Structural Engineering and Mechanics
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    • v.33 no.4
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    • pp.407-428
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    • 2009
  • The effects of the uniform and spatially varying ground motions on the stochastic response of fluid-structure interaction system during an earthquake are investigated by using the displacement based fluid finite elements in this paper. For this purpose, variable-number-nodes two-dimensional fluid finite elements based on the Lagrangian approach is programmed in FORTRAN language and incorporated into a general-purpose computer program SVEM, which is used for stochastic dynamic analysis of solid systems under spatially varying earthquake ground motion. The spatially varying earthquake ground motion model includes wave-passage, incoherence and site-response effects. The effect of the wave-passage is considered by using various wave velocities. The incoherence effect is examined by considering the Harichandran-Vanmarcke and Luco-Wong coherency models. Homogeneous medium and firm soil types are selected for considering the site-response effect where the foundation supports are constructed. A concrete gravity dam is selected for numerical example. The S16E component recorded at Pacoima dam during the San Fernando Earthquake in 1971 is used as a ground motion. Three different analysis cases are considered for spatially varying ground motion. Displacements, stresses and hydrodynamic pressures occurring on the upstream face of the dam are calculated for each case and compare with those of uniform ground motion. It is concluded that spatially varying earthquake ground motions have important effects on the stochastic response of fluid-structure interaction systems.

Lagrangian Simulation Model of Heavy Particle Motion in a Turbulent Flow (라그랑지 관점에 입각한 난류유동장 내의 관성입자운동 모사 모델)

  • Moon, Sun;Maeng, Joo-Sung
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.241-251
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    • 1991
  • The present simulation model relies on a new approach of the heavy particle motion in a turbulent flow considering the time and space correlation to the Lagrangian point of view. The turbulent field is, here, assumed that its characteristic scales are random and follow a Poisson's distribution. Using this model, we have computed the trajectory of each particle, that is, its velocity and position at each time in order to study the dispersion of particles in a grid turbulent flow. The computed results have been compared to the corresponding experimental data. Due to the complex mechanism of turbulence and the theoretically and experimentally lacking information, we had to make some assumptions for simplifying the situation, but we have found the good agreement between simulated and measured results. In particular, the application of the present method on the Lagrangian correlation of particle provides an interesting alternative to the usual computational methods.

Particle Dispersion and Effect of Spin in the Turbulent Boundary Layer Flow (난류 경계층 유동에서 입자의 확산과 스핀의 영향)

  • Kim, Byung-Gu;Lee, Chang-Hoon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.1
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    • pp.89-98
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    • 2004
  • In this paper, we develope a dispersion model based on the Generalized Langevin Model. Thomson's well-mixed condition is the well known criterion to determine particle dispersion. But, it has 'non-uniqueness problem'. To resolve this, we adopt a turbulent model which is a new approach in this field of study. Our model was greatly simplified under the self-similarity condition, leaving model only two model constants $C_{0}$ and ${\gamma}$$_{5}$ that control the dispersion and spin which measures rotational property of the Lagrangian particle trajectory. We investigated the sign of spin as well as magnitude by using the Direct Numerical Simulation. Model calculations were performed on the neutrally stable boundary layer flow. We found that spin has weak effect on the particle dispersion but it shows the significant effect on the horizontal flux compared to the zero-spin model.