• Title/Summary/Keyword: k-${\varepsilon}$ 난류모형

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Numerical Analysis of High-Reynolds-Number Flow around Axisymmetric Body (축대칭체 주위 고 레이놀즈수 유동에 대한 수치해석)

  • Choi, Jung-Kyu;Kim, Hyoung-Tae
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.6
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    • pp.631-636
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    • 2008
  • In this paper, numerical analysis based on the RANS equation and the Realizable ${\kappa}-{\varepsilon}$ turbulence model is carried out for flows around an axisymmetric body at three Reynolds numbers($1.22{\times}10^7$, $1.0{\times}10^8$, $1.5{\times}10^8$) and the numerical results are compared with experiments data. Computed velocity distributions agree well with experiments as the Reynolds number increases. Pressure distributions agree well with the results of the potential flow except the tail region but differ from experiments for the parallel middle body as well as tail region. Pressure gradients show a good agreement with those of potential flow and experiment except the tail region. Friction coefficients show that the numerical results generally are lower than the experimental results estimated from the measured velocity. The difference of friction coefficients between the calculation and the experiment increases with growing of a boundary layer.

Wave Breaking of Sinusoidal Waves in the Surf Zone (쇄파대에서 정현파의 쇄파)

  • Hwang, Jong-Kil;Kim, Young-Taek;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.37 no.6
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    • pp.461-466
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    • 2004
  • This study presents a combined experimental and numerical effort to investigate wave breaking of sinusoidal waves in a surf zone. Numerical predictions are verified by comparing to laboratory measurements. The model solves the Reynolds equations and$textsc{k}$-$\varepsilon$ models for the turbulence analysis. To track the free surface displacement, the volume of fluid method is employed. As the height of incident wave increases, the wave breaking occurs at a closer point of the slope in the numerical model and laboratory experiments with the same depth and period. When a wave breaking occurs, the ratio of wave height becomes larger, with the same wave height and depth, as the period increases.

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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Generation and Maximum Run-up Heights of Cnoidal Waves (크노이드파의 발생과 최대 처오름높이)

  • 조용식;전찬후
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.15 no.2
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    • pp.80-85
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    • 2003
  • This paper describes the generation and maximum run-up heights of cnoidal waves with varying periods by the numerical model. The model solves the Reynolds equations and the k-epsilon equations for the turbulent analysis. To track free surface displacements, the volume of fluid(VOF) method is employed. It is shown that profiles of the numerically generated cnoidal waves agree well with analytical solutions. The computed maximum run-up heights are compared with laboratory measurements and those of the boundary element method. The present model provides more agreeable results to laboratory measurements that the boundary element model.

Three-Dimensional Numerical Simulation within a Circular-to-Rectangular Transition Duct (Circular-to-Rectangular Transition Duct 내부의 3차원 유동장에 관한 연구)

  • Jo, Su-Yong;Jeong, Hui-Taek;Son, Ho-Jae
    • Journal of computational fluids engineering
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    • v.3 no.2
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    • pp.9-16
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    • 1998
  • Predictive behaviors by the extended k-${\varepsilon}$ turbulence model and the standard k-${\varepsilon}$ turbulence model are compared. Grid dependency is tested with the H-type grid as well as the O-type grid. Computations have been performed on a circular-to-rectangular transition duct. The Reynolds number is 390,000 based on the bulk velocity at the inlet. The computed axial velocity contours, transverse velocity profiles, static pressure contours, peripheral skin friction coefficient, peripheral wall static pressure distributions and turbulence kinetic energy have been compared with experimental results. The computed results than those obtained with the standard k-${\varepsilon}$ turbulence model. Comparing to the computed results obtained with the H-type grid and O-type grid, those with H-type grid seem to agree well with experimental results.

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Turbulence Models for the Surface Discharge of Heated Water (표면온배수 난류모형)

  • 최흥식;이길성
    • Water for future
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    • v.23 no.4
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    • pp.445-457
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    • 1990
  • In order to predict the dispersion of a thermal discharge with strong turbulent and buoyant effects, the development of a numerical model using turbulence model and its application are significantly increased. In this study, a 3-dimensional steady-state model for the surface discharge of heated water into quiescent water body is developed. For the model closure of turbulent terms the 4-equation turbulence model is used. For economic numerical simulation, the elliptic governing equations are transformed to the partially parabolic equations. In general, the simulated results by the present model agree well to the experimental results by Pande and Rajaratnam. The model characteristics are presented in comparison with the predicted results of the 2-equation turbulence model by McGuirk and Rodi. Applying the 4-equation turbulence model to the Korea nuclear unit 1 at Kori site, feasibility and efficiency of the present model are validated.

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A Non-linear Low-Reynolds-Number Heat Transfer Model for Turbulent Separated and Reattaching Flows (난류박리 및 재부착 유동에 대한 저레이놀즈수 비선형 열전달 모형의 개발)

  • Rhee, Gwang-Hoon;Sung, Hyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.2
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    • pp.316-323
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    • 2000
  • A nonlinear low-Reynolds-number heat transfer model is developed to predict turbulent flow and heat transfer in separated and reattaching flows. The $k-{\varepsilon}-f_{\mu}$ model of Park and Sung (1997) is extended to a nonlinear formulation, based on the nonlinear model of Gatski and Speziale (1993). The limiting near-wall behavior is resolved by solving the $f_{\mu}$ elliptic relaxation equation. An improved explicit algebraic heat transfer model is proposed, which is achieved by applying a matrix inversion. The scalar heat fluxes are not aligned with the mean temperature gradients in separated and reattaching flows; a full diffusivity tensor model is required. The near-wall asymptotic behavior is incorporated into the $f_{\lambda}$ function in conjunction with the $f_{\mu}$ elliptic relaxation equation. Predictions of the present model are cross-checked with existing measurements and DNS data. The model preformance is shown to be satisfactory.

The Effect of Thermal Buoyancy on Air Flow and Temperature Distribution in a Slot-Ventilated Livestock Building (환기중(換氣中)인 축사(畜舍)의 열부력(熱浮力)이 공기유동 및 온도분포에 미치는 영향)

  • Choi, H.L.
    • Journal of Biosystems Engineering
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    • v.18 no.2
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    • pp.144-157
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    • 1993
  • 환기중인 실험축사내에서 가축의 현열과 환기공기의 온도차에 의한 열부력(熱浮力)(thermal buoyancy)이 공기유동 및 온도분포에 미치는 영향을 구명(究明)하기 위하여 TEACH 컴퓨터프로그램($k-{\varepsilon}$ 난류모형 및 SIMPLE계열 Algorithm)을 Curvilinear Coordinates에 맞게 변형하였다. 계산한 축사내 공기유통 및 온도분포의 유의성(有意性) 검증은 Boon(1978)의 실험결과를 이용하였다. 열부력의 크기에 따른 유동의 변화를 관찰하기 위하여 유입공기의 온도를 $17^{\circ}C$$10^{\circ}C$ 두 수준으로 입력하였으며, 가축의 현열플릭스(flux)는 실내온도에 따라 변화하므로 유압공기의 온도가 $17^{\circ}C$일 때는 130W/$m^2$, $10^{\circ}C$일 때는 170W/$m^2$을 경계조건으로 입력하였다. 예측한 공기유동의 형태는 실험값(Boon, 1978)과 비교하여 대체로 만족할만한 결과를 얻었다. 그러나 유입공기의 온도가 $10^{\circ}C$인 경우, 예측 공기유동은 실험 유동형태와 차이가 있었다. 즉, 실험에서는 수평슬롯으로 유입된 공기가 바로 아래로 굴절되어 유동(流動)하였으나, 계산의 결과는 일정 거리로 수평방향으로 유동하다가 아래로 굴절하였다. 이런 유동의 차이는 경험적으로 열부력(熱浮力)에 민감하게 반응하지 않는 k-${\varepsilon}$ 난류(亂流)모형의 적용이 원인이 되거나 실험의 부적절한 수행이 원인이 될 수도 있다. 이 유동(流動)의 Reynolds 수(數) (Re)는 약 3,300, 수정Ar수(修正Ar數)(Corrected Archimedes Number : $Ar_c$)64로써, $Ar_c$ <30 이거나 $Ar_c$ >75이면 유입공기의 제트는 수평유동한다는 Randall & Battams(1979)의 연구결과와는 일치하였다. 그러나 공기제트의 굴절은 유동의 특성이 같다하더라도 유체의 성질, 축사의 기하학적 형태에 따라서 매우 민감하게 반응하므로 실제 실험을 통한 재검정과정을 거쳐야 할 것으로 판단된다. Fig. 9와 Fig. 10의 기하학적 형태의 지점별 예측온도와 측정온도(Boon, 1978)와의 편차는 대부분의 지점에서는 $1^{\circ}C$ 미만으로 상당히 정확하였으며, 최대의 온도차는 Fig. 10의 지점 13에서 $1.7^{\circ}C$이었다.

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Numerical Study on the Turbulent Flow in the $180^\circ$ Bends increasing Cross-sectional Aspect Ratio (단면의 폭이 증가하는 $180^\circ$ 곡덕트 내 난류유동의 수치해석적 연구)

  • 김원갑;김철수;최영돈
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.16 no.9
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    • pp.804-810
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    • 2004
  • This paper reports the characteristics of the three dimensional turbulent flow by numerical method in the 180 degree bends with increasing cross-sectional area. Calculated pressure and velocity, Reynolds stress distributions are compared to the experimental data. Turbulence model employed are low Reynolds number $textsc{k}$-$\varepsilon$ model and algebraic stress model(ASM). The results show that the main vortex generated from the inlet part of the bend maintained to outlet of the bend and vortices are continually developed at the inner wall region. The distribution of turbulent kinetic energy along the bend are increase up to 120$^{\circ}$ because of increment of cross-sectional area. Secondary flow strength of the flow is lower about 60% than that of square duct flow.

Comparative study of laminar and turbulent models for three-dimensional simulation of dam-break flow interacting with multiarray block obstacles (다층 블록 장애물과 상호작용하는 3차원 댐붕괴흐름 모의를 위한 층류 및 난류 모델 비교 연구)

  • Chrysanti, Asrini;Song, Yangheon;Son, Sangyoung
    • Journal of Korea Water Resources Association
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    • v.56 no.spc1
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    • pp.1059-1069
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    • 2023
  • Dam-break flow occurs when an elevated dam suddenly collapses, resulting in the catastrophic release of rapid and uncontrolled impounded water. This study compares laminar and turbulent closure models for simulating three-dimensional dam-break flows using OpenFOAM. The Reynolds-Averaged Navier-Stokes (RANS) model, specifically the k-ε model, is employed to capture turbulent dissipation. Two scenarios are evaluated based on a laboratory experiment and a modified multi-layered block obstacle scenario. Both models effectively represent dam-break flows, with the turbulent closure model reducing oscillations. However, excessive dissipation in turbulent models can underestimate water surface profiles. Improving numerical schemes and grid resolution enhances flow recreation, particularly near structures and during turbulence. Model stability is more significantly influenced by numerical schemes and grid refinement than the use of turbulence closure. The k-ε model's reliance on time-averaging processes poses challenges in representing dam-break profiles with pronounced discontinuities and unsteadiness. While simulating turbulence models requires extensive computational efforts, the performance improvement compared to laminar models is marginal. To achieve better representation, more advanced turbulence models like Large Eddy Simulation (LES) and Direct Numerical Simulation (DNS) are recommended, necessitating small spatial and time scales. This research provides insights into the applicability of different modeling approaches for simulating dam-break flows, emphasizing the importance of accurate representation near structures and during turbulence.