• Title/Summary/Keyword: eddy viscosity model

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A Study on Nonlinear Interaction of Tidal Current and Wind-Induced Current using a Point Model (점모형을 이용한 조류와 취송류의 비선형 상호작용)

  • 이종찬;정경태
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.8 no.1
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    • pp.28-36
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    • 1996
  • The influence of vertical eddy viscosity to the nonlinear interaction of tidal current and wind-induced current is examined using a point model. A zero-equation turbulence model is derived by simplifying the q$^2$-q$^2$1 turbulence model under the assumption that the generation of turbulence kinetic energy is balanced with its dissipation and is further modified to include the depth of frictional influence properly The zero-equation turbulence model is derived and the possibility of resonance in the presence of Coriolis effect is suggested. The amplitudes of tidal currents remain the same regardless of the applied wind stress, but the over-tide component is generated due to the nonlinear interaction of tidal current and wind-induced current. Significant changes in the vertical profile of wind-induced currents can occur according to tide-induced background turbulence. The turbulence model can give rise to misleading results when applied to the wind-driven circulation in the tide-dominated sea such as Yellow Sea unless the tide-induced background turbulence is adequately included in the parameterization of vertical eddy viscosity.

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Development of a Time-Domain Simulation Tool for Offshore Wind Farms

  • Kim, Hyungyu;Kim, Kwansoo;Paek, Insu;Yoo, Neungsoo
    • Journal of Power Electronics
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    • v.15 no.4
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    • pp.1047-1053
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    • 2015
  • A time-domain simulation tool to predict the dynamic power output of wind turbines in an offshore wind farm was developed in this study. A wind turbine model consisting of first or second order transfer functions of various wind turbine elements was combined with the Ainslie's eddy viscosity wake model to construct the simulation tool. The wind turbine model also includes an aerodynamic model that is a look up table of power and thrust coefficients with respect to the tip speed ratio and pitch angle of the wind turbine obtained by a commercial multi-body dynamics simulation tool. The wake model includes algorithms of superposition of multiple wakes and propagation based on Taylor's frozen turbulence assumption. Torque and pitch control algorithms were implemented in the simulation tool to perform max-Cp and power regulation control of the wind turbines. The simulation tool calculates wind speeds in the two-dimensional domain of the wind farm at the hub height of the wind turbines and yields power outputs from individual wind turbines. The NREL 5MW reference wind turbine was targeted as a wind turbine to obtain parameters for the simulation. To validate the simulation tool, a Danish offshore wind farm with 80 wind turbines was modelled and used to predict the power from the wind farm. A comparison of the prediction with the measured values available in literature showed that the results from the simulation program were fairly close to the measured results in literature except when the wind turbines are congruent with the wind direction.

The study of Flow Structure in a Mixing Tank for Different Reynolds Numbers Using LES (대형 와 모사를 통한 레이놀즈 수 증가에 따른 혼합 탱크 내의 유동 구조의 연구)

  • Yoon, Hyun-Sik;Chun, Ho-Hwan;Ha, Man-Yeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.9
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    • pp.1290-1298
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    • 2003
  • The stirred tank reactor is one of the most commonly used devices in industry for achieving mixing and reaction. Here we report on results obtained from the large eddy simulations of flow inside the tank performed using a spectral multi-domain technique. The computations were driven by specifying the impeller-induced flow at the blade tip radius. Stereoscopic PlY measurements (Hill et al. $^{(1)}$) along with the theoretical model of the impeller-induced flow (Yoon et al. $^{(2)}$) were used in defining the impeller-induced flow as superposition of circumferential, jet and tip vortex pair components. Large eddy simulation of flow in a stirred tank was carried out for the three different Reynolds numbers of 4000, 16000 and 64000. The effect of different Reynolds numbers is well observed in both instantaneous and time averaged flow fields. The instantaneous and mean vortex structures are identified by plotting an isosurfaces of swirling strength for all Reynolds numbers. The Reynolds number dependency of the non-dimensional eddy viscosity, resolved scale and subgrid scale dissipations is clearly shown in this study.

Prediction of Hydraulic Characteristics Change around Spur-Dike Using a Two Dimensional Numerical Model (2차원 수치모형을 이용한 수제 주변 수리특성 변화 예측)

  • Kim, Tae-Beom;Jang, Ji-Yeon;Choi, Sung-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.132-136
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    • 2011
  • 수제는 유수에 의한 하안 침식을 방지하기 위한 목적의 수공구조물이다. 최근에는 하천복원 및 생태계복원에 대한 관심이 증가되면서, 하안 침식 방지뿐만 아니라 수제에 의한 흐름분리 및 재순환영역의 생태 서식처 제공에 대한 역할이 부각되고 있다. 따라서 수제 설계 시, 수제 설치에 따른 수리특성 변화를 미리 파악하는 것이 필요하지만, 수제 간격, 설치 방향, 수제 높이, 수제 길이, 하도 특성 및 접근 유수 특성 등 다양한 인자에 의해 수리특성 변화를 예측하기란 쉽지 않으며, 비용과 시 공간 측면에서 물리 모형을 이용한 접근법도 용이하지 못하다. 따라서 본 연구에서는 2차원 수치모형을 이용하여 수제 설치에 따른 흐름특성 변화를 모의하고, 모형의 적용성을 판별하고자 하였다. 지배 방정식은 기본적으로 천수방정식을 적용하게 되는데, 수제 주변 흐름 특성은 난류에 의한 횡방향 확산이 중요한 인자로작용하게 된다. 상수 와점성(constant eddy viscosity) 모형, 포물선형 와점성 (parabolic eddy viscosity) 모형을통해 개발 모형의예측 결과와 실험수로 결과를 비교하였다. 수제하류의 재순환영역의 길이가 실험수로의 결과에 비해서 5~6 배까지 확대된 결과를 나타내고 있어, 만족할 만한 결과를 현재까지 얻지 못하였다. 횡방향 확산이 중요한 만큼 k-$\varepsilon$ 모형 등 다양한 난류 모형의 적용이 고려되어질 필요가 있으며, 또한 1차원 요소가 아닌 2차원 요소의 적용을 고려할 필요도 있다.

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LES studies on combustion characteristic with equivalence ratios in a model gas turbine combustor (모형 가스터빈 연소기에서 당량비 변화에 따른 연소특성에 관한 LES 연구)

  • Hwang, Cheol-Hong;Lee, Hyun-Yong;Lee, Chang-Eon
    • 한국연소학회:학술대회논문집
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    • 2006.10a
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    • pp.242-250
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    • 2006
  • The impacts of equivalence ratio on the flow structure and flame dynamics in a model gas turbine combustor are investigated using large eddy simulation(LES). Dynamic k-equation model and G-equation flamelet model are employed as LES subgrid model for flow and combustion, respectively. As a result of mean flow field for each equivalence ratio, the increase of equivalence ratio brings about the decrease of swirl intensity through the modification of thermal effect and viscosity, although the same swirl intensity is imposed at inlet. The changes of vortical structure and turbulent intensity etc. near flame surface are occurred consequently. That is, the decrease of equivalence ratio can leads to the increase of heat release fluctuation by the more increased turbulent intensity and fluctuation of recirculation flow. In addition, the effect of inner vortex generated from vortex breakdown on the heat release fluctuation is increased gradually with the decrease of equivalence ratio. Finally, it can be identified that the variations of vortical structure play an important role in combustion instability, even though the small change of equivalence ratio is occurred.

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An evaluation of wall functions for RANS computation of turbulent flows (난류 흐름의 RANS 수치모의를 위한 벽함수 성능 평가)

  • Yoo, Donggeun;Paik, Joongcheol
    • Journal of Korea Water Resources Association
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    • v.53 no.1
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    • pp.1-13
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    • 2020
  • The most common approach for computing engineering flow problems at high Reynolds number is still the Reynolds-averaged Navier-Stokes (RANS) computations based on turbulence models with wall functions. The recently developed generalized wall functions blending between the wall-limiting viscous and the outer logarithmic relations ensure a smooth transition of flow quantities across two regions. The performances and convergence properties of widely used turbulence models with wall functions that are applicable for turbulence kinetic energy (TKE), turbulent and specific dissipation rates, and eddy viscosity are presented through a series of near wall flow simulations. The present results show that RNG k-𝜖 model should be carefully applied with small tolerance to get the stable solution when the first grid lies in the buffer layer. The standard k-𝜖 and RNG k-𝜖 models are not sensitive to the selection of wall functions for both TKE and eddy viscosity, while the k-ω SST model should be applied together with kL-wall function for TKE and nutUB-wall functions for eddy viscosity to ensure accurate and stable boundary conditions. The applications to a backward-facing step flow at Re=155,000 reveal that the reattachment length is reasonably well predicted on appropriately refined mesh by all turbulence models, except the standard k-𝜖 model which about 13% underestimates the reattachment length regardless of the grid refinement.

On Subgrid-Scale Models for Large-Fddy Simulation of Turbulent Flows (난류유동의 큰 에디 모사를 위한 아격자 모델)

  • Gang, Sang-Mo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.11
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    • pp.1523-1534
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    • 2000
  • The performance of a number of existing dynamic subgrid-scale(SGS) models is evaluated in large-eddy simulations(LES) of two prototype transitional and turbulent shear flows, a planar jet and a channel flow. The dynamic SGS models applied include the dynamic Smagorinsky model(DSM);Germano et al. 1991, Lully 1992), the dynamic tow-component model(DTM; Akhavan et al. 2000), the dynamic mixed model(DMM;Zang et al, 1993). and the dynamic two-parameter model(DTPM; Salvetti & Banerjee 1995). The results are compared with those for DNS for their evaluation. The LES results demonstrate the superior performance of DTM with use of a sharp cutoff filter and DMM with use of a box filter, as compared to their respect counterpart DSM, in predicting the mean statistics, spectra and large-scale structure of the flow, Such features of DTM and DMM derive from the construction of the models in which tow separate terms are included to represent the SGS interactions; a Smagorinsky edd-viscosity term to account for the non-local interactions, and a local-interaction term to account for the nonlinear dynamics between the resolved and subgrid scales in the vicinity of the LES cutoff. As well, overall the SGS models using a sharp cutoff filter are more successful than those using a box filter in capturing the statistics and structure of the flow. Finally, DTPM is found to be compatible or inferior to DMM.

LES Studies on Flow Structure and Flame Characteristic with Equivalence Ratios in a Swirling Premixed Combustor (선회 예혼합연소기에서 당량비 변화에 따른 유동구조 및 화염특성에 관한 LES 연구)

  • Hwang, Cheol-Hong;Kim, Se-Won;Lee, Chang-Eon
    • Journal of the Korean Society of Combustion
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    • v.11 no.4
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    • pp.27-35
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    • 2006
  • The impacts of equivalence ratio on flow structure and flame dynamic in a model gas turbine combustor are investigated using large eddy simulation(LES). Dynamic k-equation model and G-equation flamelet model are employed as LES subgrid model for flow and combustion, respectively. As a result of mean flow field for each equivalence ratio, the increase of equivalence ratio brings about the decrease of swirl intensity through the modification of thermal effect and viscosity, although the same swirl intensity is imposed at inlet. The changes of vortical structure and turbulent intensity etc. near flame surface are occurred consequently. That is, the decrease of equivalence ratio can leads to the increase of heat release fluctuation by the more increased turbulent intensity and fluctuation of recirculation flow. In addition, the effect of inner vortex generated from vortex breakdown on the heat release fluctuation is increased gradually with the decrease of equivalence ratio. Finally, it can be identified that the variations of vortical structure play an important role in combustion instability, even though the small change of equivalence ratio is occurred.

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LES of Supercritical Combustion of Shear-coaxial Injector of a Methane-LOx Liquid Rocket Engine (액체로켓(메탄-LOx) 동축인젝터의 초임계 연소 LES 연구)

  • Heo, Jun-Young;Kim, Kuk-Jin;Sung, Hong-Gye;Yang, Vigor
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2010.05a
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    • pp.190-193
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    • 2010
  • The turbulent mixing and combustion of a shear coaxial injector under supercritical pressures have been theoretically/numerically investigated. Turbulent numerical model is based on large eddy simulation with real-fluid transport and thermodynamics over the entire pressure; Soave modification of Redlich-Kwong equation of state, Chung's model for viscosity/conductivity, and Fuller's theorem for diffusivity to take account Takahashi's compressible effect. The results are compared with previous researcher's. The large-scale vortices shedding from the outer rim into the recirculation region to react with gaseous oxygen was investigated.

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Simulation of free falling rigid body into water by a stabilized incompressible SPH method

  • Aly, Abdelraheem M.;Asai, Mitsuteru;Sonoda, Yoshimi
    • Ocean Systems Engineering
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    • v.1 no.3
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    • pp.207-222
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    • 2011
  • A stabilized incompressible smoothed particles hydrodynamics (ISPH) method is utilized to simulate free falling rigid body into water domain. Both of rigid body and fluid domain are modeled by SPH formulation. The proposed source term in the pressure Poisson equation contains two terms; divergence of velocity and density invariance. The density invariance term is multiplied by a relaxed parameter for stabilization. In addition, large eddy simulation with Smagorinsky model has been introduced to include the eddy viscosity effect. The improved method is applied to simulate both of free falling vessels with different materials and water entry-exit of horizontal circular cylinder. The applicability and efficiency of improved method is tested by the comparisons with reference experimental results.