• Title/Summary/Keyword: k-$\omega$난류모형

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Comparative Study on k-ε and k-ω Closures under the Condition of Turbulent Oscillatory Boundary Layer Flow at High Reynolds Number (높은 레이놀즈수를 가진 난류 진동 경계층에서의 k-ε과 k-ω 난류모형의 비교)

  • Son, Min-Woo;Lee, Guan-Hong;Lee, Kil-Seong;Lee, Du-Han
    • Journal of Korea Water Resources Association
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    • v.44 no.3
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    • pp.189-198
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    • 2011
  • The aim of this study is to compare k-$\varepsilon$ and k-$\omega$ closures under the condition of oscillatory layer flow at high Reynolds number. A one dimensional vertical model incorporated with flow momentum equations and turbulence models (k-$\varepsilon$ and k-$\omega$) is applied to the laboratory measurements in the turbulent oscillatory boundary layer. The numerical simulation reveals that both turbulence models calculate similar velocity profiles and turbulent kinetic energy (TKE). In addition, both deliver high accuracy under the condition of negligible spanwise pressure gradient. Therefore, it is recommended in this study to use k-$\varepsilon$ closure, of which numerical coefficients have been calibrated from many studies, for the cases of straight channel, estuary, and coastal environment where the spanwise pressure gradient is not significant.

Flow Analysis in the Fuel Chamber of Engine by Applying Turbulent Models (난류모형을 적용한 엔진 연료실의 유동해석)

  • Kwag Seung-Hyun
    • Journal of Navigation and Port Research
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    • v.30 no.5 s.111
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    • pp.369-374
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    • 2006
  • The flow analysis was made by applying the turbulent models in the complicated fuel chamber of engine. The $k-\varepsilon,\;k-\omega$, Spalart-Allmaras and reynolds stress models are used in which the hybrid grid is applied for the simulation. The velocity vector, the pressure contour, the change of residual along the iteration number, and the dynamic head are simulated for the comparison of four example cases. Computational results are compared with others. For the code's validation, 2-D bodies were simulated in advance by predicting the drag coefficients.

Unsteady RANS computations of turbulent flow in a high-amplitude meandering channel (고진폭 만곡수로에서 난류흐름의 비정상 RANS 수치모의)

  • Lee, Seungkyu;Paik, Joongcheol
    • Journal of Korea Water Resources Association
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    • v.50 no.2
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    • pp.89-97
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    • 2017
  • Turbulent flow structure in the high amplitude meandering channel is complex due to secondary recirculation with helicoidal motions and shear layers formed by flow separation from the curved sidewall. In this work, the secondary flow and the superelevation of the water surface produced in the high-amplitude Kinoshita channel are reproduced by the unsteady Reynolds-averaged Navier-Stokes (RANS) computations using the VOF technique for resolving the variation of water surface elevation and three statistical turbulence models ($k-{\varepsilon}$, RNG $k-{\varepsilon}$, $k-{\omega}$ SST). The numerical results computed by a second-order accurate finite volume method are compared with an existing experimental measurement. Among applied turbulence models, $k-{\omega}$ SST model relatively well predicts overall distribution of the secondary recirculation in the Kinoshita channel, while all three models yield similar prediction of water superelevation transverse slope. The secondary recirculation driven by the radial acceleration in the upstream bend affects the flow structure in the downstream bend, which yields a pair of counter-rotating vortices at the bend apex. This complex flow pattern is reasonably well reproduced by the $k-{\omega}$ SST model. Both $k-{\varepsilon}$ based models fail to predict the clockwise-rotating vortex between a pair of counter-rotating vortices which was observed in the experiment. Regardless of applied turbulence models, the present computations using the VOF method appear to well reproduce the superelevation of water surface through the meandering channel.

Numerical Simulation of Pipe Flow with an Obstacle by applying Turbulent Models (난류모형을 적용한 장애물이 있는 파이프내의 유동장 수치시뮬레이션)

  • Kwag Seung- Hyun
    • Journal of Navigation and Port Research
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    • v.29 no.6 s.102
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    • pp.523-528
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    • 2005
  • The flow analysis is made to simulate the turbulent flow in the pipe with an obstacle. The models used are k-$\epsilon$, k-$\omega$, Spalart-Allmaras and Reynolds. The structured grid is used for the simulation The velocity vector, the pressure contour, the change of residual along the iteration number and the dynamic head are simulated for the comparison of four example cases. For the analysis, the commercial code is used.

The Effect of Compressibility Terms on the Simulation of the Flowfield around a Cylinderical Afterbody (실린더 후부 유동장 모사를 위한 압축성 수정항의 영향)

  • 김성훈;정명균
    • Journal of the Korean Society of Propulsion Engineers
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    • v.3 no.1
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    • pp.15-23
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    • 1999
  • K-$\omega$ model is used for simulation of flowfield around the cylinderical afterbody. In addition to two-equation turbulence model, modification terms for the compressibility effects are applied to the simulation. Although the estimations of the skin friction and the surface pressure distribution at hypersonic ramp flowfield were satisfactory, the result of the simulation with the modifications for this flowfield is worse than that of the original K-$\omega$ model. The compressiblility modification terms do negative effects on the estimation. The basic research on the turbulence model for the compressible flowfield has to be further conducted.

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Assessment and Validation of Turbulence Models for the Optimal Computation of Supersonic Nozzle Flow (초음속 노즐 유동의 최적해석을 위한 난류모델의 평가와 선정)

  • Kam, Ho Dong;Kim, Jeong Soo
    • Journal of the Korean Society of Propulsion Engineers
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    • v.17 no.1
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    • pp.18-25
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    • 2013
  • Assessment and validation of RANS turbulence models are conducted for the optimal analysis of supersonic converging-diverging nozzle through the comparison between computational results and experimental data. One/two equation turbulence closures such as Spalart-Allmaras, RNG k-${\varepsilon}$, and k-${\omega}$ SST are employed to simulate the two-dimensional nozzle flow. Computational results with the turbulence models mentioned fairly well predict shock structure of the nozzle-inside and pressure distribution along the wall. Especially, SST model among the employed ones shows the best agreement to experimental results.

Numerical Modeling of Free Surface Flow over a Broad-Crested Rectangular Weir (사각형 광정위어를 통과하는 자유수면 흐름 수치모의)

  • Paik, Joongcheol;Lee, Nam Joo
    • Journal of Korea Water Resources Association
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    • v.48 no.4
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    • pp.281-290
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    • 2015
  • Numerical simulations of free surface flow over a broad-crested rectangular weir are conducted by using the volume of fraction (VOF) method and three different turbulence models, the k-${\varepsilon}$, RNG k-${\omega}$ and k-${\omega}$ SST models. The governing equations are solved by a second-order accurate finite volume method and the grid sensitivity study of solutions is carried out. The numerical results are evaluated by comparing the solutions with experimental and numerical results of Kirkgoz et al. (2008) and some non-dimensionalized experimental results obtained by Moss (1972) and Zachoval et al. (2012). The results show that the present numerical model can reasonably reproduce the experimental results, while three turbulent models yield different numerical predictions of two distinct zones of flow separation, the first zone is in front of the upstream edge of the weir and the second is created immediately behind the upstream edge of the weir where the flow is separated to form the separation bubble. The standard k-${\varepsilon}$ model appears to significantly underestimate the size of both separation zones and the k-${\omega}$ SST model slightly over-estimates the first separation zone in front of the weir. The RNG k-${\varepsilon}$ model predicts both separation zones in overall good agreement with the experimental measurement, while the k-${\omega}$ SST model yields the best numerical prediction of separation bubble at the upstream edge of the weir.

Numerical Simulation for Transonic Wing-Body Configuration using CFD (CFD를 이용한 천음속 날개-동체 형상 해석)

  • Kim, Younghwa;Kang, Eunji;Ahn, Hyokeun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.45 no.3
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    • pp.233-240
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    • 2017
  • The flowfield around transonic wing-body configuration was simulated using in-house CFD code and compared with the experimental data to understand the influence of several features of CFD(Computational Fluid Dynamics) ; grid dependency, turbulence models, spatial discretization, and viscosity. The wing-body configuration consists of a simple planform RAE Wing 'A' with an RAE 101 airfoil section and an axisymmetric body. The in-house CFD code is a compressible Euler/Navier-Stokes solver based on unstructured grid. For the turbulence model, the $k-{\omega}$ model, the Spalart-Allmaras model, and the $k-{\omega}$ SST model were applied. For the spatial discretization method, the central differencing scheme with Jameson's artificial viscosity and Roe's upwind differencing scheme were applied. The results calculated were generally in good agreement with experimental data. However, it was shown that the pressure distribution and shock-wave position were slightly affected by the turbulence models and the spatial discretization methods. It was known that the turbulent viscous effect should be considered in order to predict the accurate shock wave position.

Numerical simulation of two-phase flows in hydraulic jump using RANS model (RANS 모형을 이용한 자유도수 2상흐름 수치모의)

  • Choi, Seongwook;Choi, Sung-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.98-98
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    • 2022
  • 도수는 사류가 상류로 천이되며 흐름이 불연속적으로 변하는 현상이다. 도수는 롤러와 벽 제트와 같은 흐름이 발생하는 영역으로 구분되며 큰 에너지 손실을 발생시키므로, 보나 댐과 같은 수리시설물에서는 에너지 소산을 위한 목적으로 도수를 발생시킬 수 있다. 도수구간 중 롤러 영역에서는 공기가 유입되어 복잡한 3차원 2상 흐름을 발생시키므로 공기방울의 거동에 대한 정밀한 모의는 매우 중요한 것으로 평가된다. 그러나 현실적으로 롤러 영역에서의 작은 공기방울까지 재현하는 것은 어려운 일이다. 본 연구에서는 k-ω SST 난류모형을 이용하여 수문 아래에서 발생하는 자유도수를 수치모의하고 연행된 공기량에 대한 특성을 검토하였다. 롤러 영역에서 격자의 해상도를 다르게 하여 도수구간 내 공기의 체적비와 공기방울의 크기 및 공기방울의 거동을 분석하였다. 실내 실험자료에 난류모형을 적용하고 그 결과와 비교하여 모의 결과의 적정성을 확인하였다. 또한 도수구간에서 공기방울 거동의 정밀한 모의가 평균흐름 및 난류량의 종방향 변화에 미치는 영향을 검토하였다.

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실린더 후부 유동장 모사를 위한 난류 모형 비교

  • 김성훈;정명균
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1998.10a
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    • pp.38-38
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    • 1998
  • 원기둥을 지나는 초음속 유동장은 재순환, 재접합, 유동 박리, 팽창파동이 발생하는 복잡한 유동장이며, 비행체의 성능개선을 위해서 이해되어야 한다. 난류 에너지를 지배하는 방정식에는 압축성 유동장의 경우 압력 팽창항, 팽창 소산항, Favre 속도에 의한 영향 등의 수정항이 첨가되어야 한다는 연구 결과가 나오고 있다 본 연구에서는 밀도변화에 따른 영향이 적은 것으로 알려진 k-$\omega$ 보형에 압축성에 대한 수정항을 첨가하여 유동장을 모사하여 비교하였다. 수정항의 첨가로 인하여 나온 결과를 얻을 것으로 예측되었으나 k-$\omega$ 모형에 수정을 가한 경우 수정하지 않을 경우에 비해 좋지 않은 예측을 하는 결과가 나왔다. 이는 압축성 난류 유동을 위한 수정항의 사용이 기지부 근처의 유동을 모사하기에는 부적합함을 보이며, 압축성 난류 유동에 대해서 보다 근본적인 이해가 필요함을 보여주고 있다

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