• 제목/요약/키워드: modified $k-{\varepsilon}$ model

검색결과 75건 처리시간 0.022초

저 레이놀즈수 $\kappa$-$\varepsilon$psilon.모형에서 DNS 자료에 의한 $\varepsilon$방정식의 다중 생성률 모형 개발 (Development of Multiple Production $\varepsilon$ Equation Model in Low Reynolds Number $\kappa$-$\varepsilon$ Model with the Aid of DNS Data)

  • 신종근;최영돈
    • 대한기계학회논문집B
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    • 제20권1호
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    • pp.304-320
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    • 1996
  • A multiple production .epsilon. equation model was developed in the low Reynolds number $\kappa$-$\varepsilon$ model with the aids of DNS data. We derived the model theoretically and avoided the use of empirical correlations as much as possible in order for the model to have generality in the prediction of complex turbulent flow. Unavoidable model constants were, however, optimized with the aids of DNS data. All the production and dissipation models in the $\varepsilon$ equation were modified with damping functions to satisfy the wall limiting behavior. A new $f_{\mu}$ function, turbulent diffusion and pressure diffusion model for the k and .epsilon. equations were also proposed to satisfy the wall limiting behavior. By, computational investigation on the plane channel flows, we found that the multiple production model for .epsilon. equation could improve the near wall turbulence behavior compared with the standard production model without the complicated empirical modification. Satisfication of the wall limiting conditions for each turbulence model term was found to be most important for the accurate prediction of near wall turbulence behaviors.

Developments and applications of a modified wall function for boundary layer flow simulations

  • Zhang, Jian;Yang, Qingshan;Li, Q.S.
    • Wind and Structures
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    • 제17권4호
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    • pp.361-377
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    • 2013
  • Wall functions have been widely used in computational fluid dynamics (CFD) simulations and can save significant computational costs compared to other near-wall flow treatment strategies. However, most of the existing wall functions were based on the asymptotic characteristics of near-wall flow quantities, which are inapplicable in complex and non-equilibrium flows. A modified wall function is thus derived in this study based on flow over a plate at zero-pressure gradient, instead of on the basis of asymptotic formulations. Turbulent kinetic energy generation ($G_P$), dissipation rate (${\varepsilon}$) and shear stress (${\tau}_{\omega}$) are composed together as the near-wall expressions. Performances of the modified wall function combined with the nonlinear realizable k-${\varepsilon}$ turbulence model are investigated in homogeneous equilibrium atmosphere boundary layer (ABL) and flow around a 6 m cube. The computational results and associated comparisons to available full-scale measurements show a clear improvement over the standard wall function, especially in reproducing the boundary layer flow. It is demonstrated through the two case studies that the modified wall function is indeed adaptive and can yield accurate prediction results, in spite of its simplicity.

축대칭 엔진 실린더내의 유동장에 관한 수치적 연구 (A Numerical Study on In-cylinder Flow Fields of an Axisymmetric Engine)

  • 최재성
    • Journal of Advanced Marine Engineering and Technology
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    • 제23권5호
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    • pp.662-670
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    • 1999
  • A numerical prediction was performed to clarify the air motion in the cylinder of an axisymmet-ric four-stroke reciprocating engine at its intake and compression stage. A scheme of finite volume method is used for the calculation. Modified $k-{\varepsilon}$ turbulence model is adopted and wall function is applied to the grids near the wall. The predicted mean velocity and rms velocity profiles showed a reasonable agreement with an available experimental data at its intake and compression stage. The predicted in-cylinder flow fields show that a strong turbulent twin vortex structure is pro-duced during induction but it commences to decay rapidly around inlet valve closure. The mean velocity continues to fall to a low level during compression but the turbulence intensity attains an approximate constant level.

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언덕지형을 지나는 유동의 수치해석적 연구 (Numerical Study on the Wind Flow Over Hilly Terrain)

  • 김현구;이정묵;경남호
    • 한국대기환경학회지
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    • 제13권1호
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    • pp.65-77
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    • 1997
  • A theoretical and numerical investigation on the boundary-layer flow over a two- or three-dimensional hill is presented. The numerical model is based on the finite volume method with boundary-fitted coordinates. The k-$\varepsilon$ turbulence model with modified wall function and the low-Reynolds-number model are employed. The hypothesis of Reynolds number independency for the atmospheric boundary-layer flow over aerodynamically rough terrain is confirmed by the numerical simulation. Comparisons of the mean velocity profiles and surface pressure distributions between the numerical predictions and the wind-tunnel experiments on the flow over a hill show good agreement. The linear theory provides generally good prediction of speed-up characteristics for the gentle-sloped hills. The flow separation occurs in the hill slope of 0.5 and the measured reattachment points are compared with the numerical prediction. It is found that the k- $\varepsilon$ turbulence model is reasonably accurate in predicting the attached flow, while the low- Reynolds-number model is more suitable to simulate the separated flows.ows.

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양문 여닫이형 냉장고 냉동실 결빙 최소화를 위한 토출구형상 최적설계 (Optimal Design of Blowing Plates to Minimize the Freezing Phenomena in the Freezer of a Side-by-side Refrigerator)

  • 곽수민;이영환;금종수;김남식;김상배;이연원
    • 동력기계공학회지
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    • 제7권2호
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    • pp.17-22
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    • 2003
  • As side-by-side refrigerators came into existence, there has been a growing concern about the free%ins-up of the vital equipment in a walk-in freezer. Due to a bad performance, customers are experiencing too much frustration. In order to minimize the freezing phenomena, the numerical simulation has been performed on the characteristics of cold air flow in a side-by-side refrigerator. The flow field has been simulated with a standard $k-\varepsilon$ turbulent model and a SIMPLE algorithm based on the finite volume method. Through the results of the analysis of the pattern of cold air flow, finally the shape of outlet for cold air flow was modified. The present model was compared with the modified model. The latter was better than the former in minimizing the freezing phenomena.

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다양한 $\kappa-\varepsilon$ 난류모델에 의한 단이 진 벽면 분류에 대한 수치해 (Numeical Analysis on wall-Attaching Offset Jet with Various Turbulent $\kappa-\varepsilon$ Models)

  • 윤순현
    • Journal of Advanced Marine Engineering and Technology
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    • 제23권2호
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    • pp.216-225
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    • 1999
  • Four turbulent $k-{varepsilon}$models(i.e standard model modified models with streamline curvature modification and/or preferential dissipation modification) are applied in order to analyze the tur-bulent flow of wall-attaching offset jet. The upwind numerical scheme was adopted in the present analyses. The streamline curvature modification results in slightly better prediction while the preferential dissipation modification does not. The obtained analytic results will be used as refer-ences for further study regarding Reynolds stress model. In addition this paper introduced a method of increasing nozzle outlet velocity gradually for numercal convergence. Even though the method was simple it was efficient in view of convergent speed CPU running time computer memory storage programming etc.

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원관내 난류의 저항감소현상에 대한 수치해석 (Numerical analysis of drag reduction of turbulent flow in a pipe)

  • 홍성진;김광용;최형진
    • 설비공학논문집
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    • 제11권6호
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    • pp.733-739
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    • 1999
  • A modified low-Re $k-\varepsilon$ model is used for the calculation of drag-reducing turbulent flow by polymer injection in a pipe. With the viscoelastic model, molecular viscosity in the definition of turbulent viscosity is related to elongations viscosity of the solution to account for the effects of drag reduction. Finite volume method is used for the discretization, and power-law scheme is used as a numerical scheme. Computed dimensionless velocity profiles are in good agreements with the experimental data in case of low drag reductions. However, in case of high drag reductions, they deviate largely from the measurements in the central zone of the flow field.

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연속주조공정에서의 EMBR의 수치해석 (Numerical analysis of continuous casting process with electromagnetic brake)

  • 김현경;유흥선;유수열
    • 설비공학논문집
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    • 제11권6호
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    • pp.766-773
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    • 1999
  • A numerical analysis has been performed solidification problem using the fixed grid-enthalpy method with enthalpy-porosity relation. A modified standard $k-\varepsilon$ model was applied to describe the influence of turbulent flow. Computational procedures are based on the finite volume method and the non-staggered grid system. Comparisons with the different three experimental results show that applying a modified standard $k-\varepsilon$model in mushyzone is better than the previous computation results. This paper includes another EMBR's influences such as change of velocity field, Increasement of temperature and dispersion of flow out of nozzle into the flow field. These EMBR's influences are compared to case without EMBR.

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메탄올 Bluff-Body 난류 화염내의 화염구조 및 $NO_{x}$ 생성 특성에 대한 수치적 연구 (Flamelet Modeling of Structures and $NO_{x}$ Formation Charateristics in Bluff-Body stabilized Methanol Flames)

  • 이준규;김성구;김용모;김세원
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집D
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    • pp.37-42
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    • 2001
  • This paper computes the bluff-body stabilized jet and flame. This study numerically investigates the nonpremixed $C_{2}H_{4}-air$ jet for the nonreacting case and the nonpremixed $CH_{3}OH-air$ turbulent flames for the reacting case using the laminar flamelet model on modified KIVA2 code. And this study predicts $NO_{x}$ formation characteristics using Eulerian Particle Flamelet Model. In the present study, the turbulent combustion model is applied to analyze both nonreacting and reacting case. And both standard $k-{\varepsilon}$ model and modified $k-{\varepsilon}$ model are used in nonreacting case. Calculations are compared with experimental data in terms of velocity, mixture fraction, mixture fraction Root Mean Square and Temperature. The present model correctly predicts the essential features of flame structures and $NO_{x}$ formation characteristics in the bluff-body stabilized flames.

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천해에 적용가능한 태풍 해일-조석-파랑 수치모델 개발 1. 해수유동 모델의 정확성 검토 (Development of the Combined Typhoon Surge-Tide-Wave Numerical Model Applicable to Shallow Water 1. Validation of the Hydrodynamic Part of the Model)

  • 천제호;안경모;윤종태
    • 한국해안·해양공학회논문집
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    • 제21권1호
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    • pp.63-78
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    • 2009
  • 본 논문에서는 천해에 적용 가능한 동적결합형 태풍 해일-조석-파랑 수치모델의 개발과 개발된 모델의 정확성을 검증하였다. 태풍 해일과 조석 수치모델은 POM (Princeton Ocean Model)을 기반으로 하였으며, 풍파 파랑 수치모델은 WAM (Wave Model)을 기반으로 천해에 적용할 수 있도록 수정하여 두 모델을 동적으로 결합하였다. 연속된 두 개의 논문 중에 첫 번째 논문인 본 논문에서는 해일과 조석을 수치 모의하는 해수유동 부분의 수치모의의 안정성과 정확성을 검증하였다. 수치모의의 안정성과 정확성 향상을 위하여 기존의 POM 모델의 난류 수치모델 부분과 연직속도 계산 알고리즘을 수정 보완하였다. 수정된 POM 모델의 정확성과 수치적 안정성 검증을 위하여 해석해와 실 해역에서 측정된 관측결과와 비교하였으며, 수정된 POM 모델이 기존의 POM 모델보다 수치계산의 안정성과 정확성이 개선되었음을 확인할 수 있었다.