• 제목/요약/키워드: k-$\varepsilon$ Turbulence Model

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저레이놀즈수 k-$\varepsilon$ 모델을 사용한 2차원 자연대류 난류현상에 대한 수치적 연구 (A Numerical Study on the Two-Dimensional Turbulent Natural Convection Using a Low-Reynolds Number k-$\varepsilon$ Model)

  • 강덕홍;김우승;이관수
    • 대한기계학회논문집
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    • 제19권3호
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    • pp.741-750
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    • 1995
  • The turbulent buoyancy-driven flow in 2-dimensional enclosed cavities heated from the vertical side is numerically calculated for both cases of a Rayleigh number of 5*10$^{10}$ for air and 2.5*10$^{10}$ for water. Three different turbulence models are considered : standard k-.epsilon. model of Ozoe and low-Reynolds-number model of Lam and Bremhorst, and another low-Reynolds-number model of Davidson. The results indicate that the use of low-Reynolds number models is recommended for the indoor airflow computation, and the results from Davidson model are reasonably close to the reported experimental data. A sensitivity study shows that the amounts of wall-heat transfer and the velocity profiles with the Lam and Bremhorst model largely depend on the choice of the wall function for .epsilon..

풍성류 계산을 위한 연직 와점성계수 산정방법의 비교평가 (Comparative Evaluation of Determination Methods of Vertical Eddy Viscosity for Computation of Wind-Induced Flows)

  • 정태성;이길성;오병철
    • 한국해안해양공학회지
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    • 제6권3호
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    • pp.205-215
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    • 1994
  • 난류모형을 도입하여 풍성류에 대한 3차원 수치모형을 수립하고, 풍성류 계산에 있어서 연직 와점성계수 산정방법들에 대한 비교평가를 수행하였다. 검토된 방법은 함수형(0-방정식), 1-방정식, 2개의 2-방정식 난류모형($ extsc{k}$-$\varepsilon$$textsc{k}$-ι)이며, 난류모형은 난류확산 특성길이의 연직분포에 대한 비교를 통하여 각 방법의 특징이 검토되었다. 양단이 막힌 수로와 순환수로에서 유속의 연직분포 계산결과를 수리실험자료와 비교검증하였다. 분석결과에 의하면 1-방정식 난류모형에 적합한 난류확산 특성길이 산정식은 포물선형이었으며, 2-방정식 난류모형($textsc{k}$-ι 모형과 $textsc{k}$-$\varepsilon$모형)은 대체로 실험치와 일치하는 경향을 보였다. 바람에 의한 영향이 전수심에 미치지 않는 경우에 가정된 연직 와점성계수의 분포는 바람이 영향을 미치는 수심까지만 적용되며, 영향이 없는 수심에서는 연직확산이 거의 일어나지 않아 적정성계수의 크기가 0에 가까웠다.

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Numerical study of turbulent wake flow behind a three-dimensional steep hill

  • Ishihara, Takeshi;Hibi, Kazuki
    • Wind and Structures
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    • 제5권2_3_4호
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    • pp.317-328
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    • 2002
  • A numerical investigation on the turbulent flows over a three-dimensional steep hill is presented. The numerical model developed for the present work is based on the finite volume method and the SIMPLE algorithm with a non-staggered grid system. Standard $k-{\varepsilon}$ model and Shih's non-linear model are tested for the validation of the prediction accuracy in the 3D separated flow. Comparisons of the mean velocity and turbulence profiles between the numerical predictions and the measurements show good agreement. The Shih's non-linear model is found to predict mean flow and turbulence better than the Standard $k-{\varepsilon}$. Flow patterns have also been examined to explain the difference in the cavity zone between 2D and 3D hills.

Study of the flow around a cylinder from the subcritical to supercritical regimes

  • Zhang, Xian-Tao;Li, Zhi-Yu;Fu, Shi-Xiao;Ong, Muk Chen;Chen, Ying
    • Ocean Systems Engineering
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    • 제4권3호
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    • pp.185-200
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    • 2014
  • The objective of the present simulations is to evaluate the applicability of the standard $k-{\varepsilon}$ turbulence model in engineering practice in the subcritical to supercritical flow regimes. Two-dimensional numerical simulations of flow around a circular cylinder at $Re=1{\times}10^5$, $5{\times}10^5$ and $1{\times}10^6$, had been performed using Unsteady Reynolds-Averaged Navier Stokes (URANS) equations with the standard $k-{\varepsilon}$ turbulence model. Solution verification had been studied by evaluating grid and time step size convergence. For each Reynolds number, several meshes with different grid and time step size resolutions were chosen to calculate the hydrodynamic quantities such as the time-averaged drag coefficient, root-mean square value of lift coefficient, Strouhal number, the coefficient of pressure on the downstream point of the cylinder, the separation angle. By comparing the values of these quantities of adjacent grid or time step size resolutions, convergence study has been performed. Solution validation is obtained by comparing the converged results with published numerical and experimental data. The deviations of the values of present simulated quantities from those corresponding experimental data become smaller as Reynolds numbers increases from $1{\times}10^5$ to $1{\times}10^6$. This may show that the standard $k-{\varepsilon}$ model with enhanced wall treatment appears to be applicable for higher Reynolds number turbulence flow.

이차원 표층방류 밀도분류의 k-$\varepsilon$ 모델에 의한 수치해석 (Numerical Analysis of Two-Dimensional Surface Buoyant Jets by k-$\varepsilon$ Turbulence Model)

  • 허재영;최한기;강주복
    • 한국해안해양공학회지
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    • 제3권2호
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    • pp.81-91
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    • 1991
  • 이차원 표층방류 밀도분류의 거동을 조사하기 위하여 k-$\varepsilon$ 이방정식 수치모델을 개발하였다. 평균류 및 난류수송에 관한 계산결과를 실험결과와 비교하여 본 수치모델이 이들의 흐름특성을 양호하게 예측할 수 있음을 확인하였다. 방류구에 있어서의 k 및 $\varepsilon$의 설정이 표층 밀도분류의 흐름에 미치는 영향을 정량적으로 평가하였다. 또한, 많은 연구에서 무시되어 왔던 $\varepsilon$ 방정식에 있어서의 부력생성항 및 계수 $C\varepsilon$$_3$의 값에 대한 검토를 행하여 흐름의 전개에 미치는 영향을 조사하였다. 이차원표층 밀도분류에 관한 계산결과를 제시하고 중요한 몇가지 흐름특성에 대하여 토의하였다.

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가로흐름 수역으로 방출되는 3차원 온배수 난류모형 (A Three-Dimensional Turbulence Model far the Thermal Discharge into Cross-Flow Field)

  • 이남주;최흥식;허재영
    • 한국해안해양공학회지
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    • 제7권2호
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    • pp.148-155
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    • 1995
  • 가로흐름이 존재하는 무한수역으로 방출되는 표면 온배수에 의한 온도장 예측을 위하여 k-$\varepsilon$ 난류모델을 이용한 근해역 3차원 온배수 수치모델을 개발하였다. 개발된 모델에 의한 수치실험 결과는 다소 제한적이긴 하나, 실험결과 자료와 비교적 잘 일치하였다. 3차원 온배수 난류모델의 적용을 통해 가로흐름과 상호작용은 물론 수심적분 2차원 수치모델에서 해석이 곤란한 온배수 확장에 따른 성층화 현상, 부력에 기인된 횡방향의 중력확장 및 제트 저면에서의 포획연행 현상을 잘 나타내었다.

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Computational study of a small scale vertical axis wind turbine (VAWT): comparative performance of various turbulence models

  • Aresti, Lazaros;Tutar, Mustafa;Chen, Yong;Calay, Rajnish K.
    • Wind and Structures
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    • 제17권6호
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    • pp.647-670
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    • 2013
  • The paper presents a numerical approach to study of fluid flow characteristics and to predict performance of wind turbines. The numerical model is based on Finite-volume method (FVM) discretization of unsteady Reynolds-averaged Navier-Stokes (URANS) equations. The movement of turbine blades is modeled using moving mesh technique. The turbulence is modeled using commonly used turbulence models: Renormalization Group (RNG) k-${\varepsilon}$ turbulence model and the standard k-${\varepsilon}$ and k-${\omega}$ turbulence models. The model is validated with the experimental data over a large range of tip-speed to wind ratio (TSR) and blade pitch angles. In order to demonstrate the use of numerical method as a tool for designing wind turbines, two dimensional (2-D) and three-dimensional (3-D) simulations are carried out to study the flow through a small scale Darrieus type H-rotor Vertical Axis Wind Turbine (VAWT). The flows predictions are used to determine the performance of the turbine. The turbine consists of 3-symmetrical NACA0022 blades. A number of simulations are performed for a range of approaching angles and wind speeds. This numerical study highlights the concerns with the self-starting capabilities of the present VAWT turbine. However results also indicate that self-starting capabilities of the turbine can be increased when the mounted angle of attack of the blades is increased. The 2-D simulations using the presented model can successfully be used at preliminary stage of turbine design to compare performance of the turbine for different design and operating parameters, whereas 3-D studies are preferred for the final design.

수치해를 이용한 선박의 점성저항 해석 (Visous resistance analysis of a ship using numerical solutions)

  • 곽영기
    • 한국해양공학회지
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    • 제11권2호
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    • pp.100-106
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    • 1997
  • Viscous flow around an actual ship is calculated by an use of RANS(Reynolds-averaged Navier-Stokes) solver. Reynolds stress is modelled by using k-$\varepsilon$ turbulence model and the law of wall is applied near the body. Body fitted coordinates are introduced for the treatment of the complex boundary of the ship hull form. The transformed equations in the computational domain are numerically solved by an employment of FVM(Finite Volume Method). SIMPLE(Semi-Implcit Pressure Linked Equation) method is adopted in the calculation of pressure and the solution of the disssssssscretized equation is obtained by the line-by-line method with the use of TDMA(Tri-Diagonal Matrix Algorithme). The subject ship model of actual calculation is 4,410 TEU class container carrier. For 4 geosim models the calculated viscous resistancce values are compared with the model test results and analyzed on their componentss. The resistance performance of an actual ship is predicted very resonably, so this mothod may be utilized as a design tool of hull form.

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유니프로우 소기식 두상밸브형엔진에서 RNG 난류모델의 평가와 과급압력변화가 소기유동에 미치는 영향 (Assessment of RNG Turbulence Model and the Effect of Inlet Pressure on Scavenging Flow)

  • 조상무;허선철;박권하
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2000년도 추계학술대회 논문집(Proceeding of the KOSME 2000 Autumn Annual Meeting)
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    • pp.68-81
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    • 2000
  • Many studies for improving a scavenging efficiency have been executed by using simulative manner. This paper addresses to a scavenging process in a uniflow two stroke cycle engine. The Processes are simulated for scavenging pressure variation, after the assessment of turbulent models. The results have shown that employing RNG k-$\varepsilon$ model gave more accurate velocity profiles near the cylinder wall compared with the standard k-$\varepsilon$ model and the charged fresh air has increased with the scavenging pressure increase.

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Comparison of Turbulence Models in Shock-Wave/ Boundary- Layer Interaction

  • Kim, Sang-Dug;Kwon, Chang-Oh;Song, Dong-Joo
    • Journal of Mechanical Science and Technology
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    • 제18권1호
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    • pp.153-166
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    • 2004
  • This paper presents a comparative study of a fully coupled, upwind, compressible Navier-Stokes code with three two-equation models and the Baldwin-Lomax algebraic model in predicting transonic/supersonic flow. The k-$\varepsilon$ turbulence model of Abe performed well in predicting the pressure distributions and the velocity profiles near the flow separation over the axisymmetric bump, even though there were some discrepancies with the experimental data in the shear-stress distributions. Additionally, it is noted that this model has y$\^$*/ in damping functions instead of y$\^$+/. The turbulence model of Abe and Wilcox showed better agreements in skin friction coefficient distribution with the experimental data than the other models did for a supersonic compression ramp problem. Wilcox's model seems to be more reliable than the other models in terms of numerical stability. The two-equation models revealed that the redevelopment of the boundary layer was somewhat slow downstream of the reattachment portion.