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

검색결과 467건 처리시간 0.024초

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
    • /
    • 제20권1호
    • /
    • pp.304-320
    • /
    • 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.

확대 및 유선곡률을 가진 디퓨저 흐름의 수치해석 (Numerical Analysis of a Diffuser Flow with Expansion and Streamline Curvature)

  • 이연원
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제22권5호
    • /
    • pp.595-608
    • /
    • 1998
  • A diffuser an important equipment to change kinetic energy into pressure energy has been studied for a long time. Though experimental and theoretical researches habe been done the understanding of energy transfer and detailed mechanism of energy dissipation is unclear. As far as numerical prediction of diffuser flows are concerned various numerical studies have also been done. On the contrary many turbulence models have constraint to the applicability of diffuser-like flows with expansion and streamline curvature. In order to obtain the reliability of k-$\varepsilon$ turbulence model modified combination turbulence models composed of the anisotropic k-$\varepsilon$model modified combination turbulence models composed of the anisotropic k-$\varepsilon$ model with Hanjalic-Launder's preferential normal strain and Pope's vortex stretching mechanism are proposed. The results of the present proposed models prove the fact that the coefficient of pressure and the shear stress are well predicted at the diffuser flow.

  • PDF

k-ε 난류모형을 이용한 중층 밀도류의 수치모의 (Numerical simulation of dense interflow using the k-ε turbulence model)

  • 최성욱;최성욱
    • 한국수자원학회논문집
    • /
    • 제50권9호
    • /
    • pp.637-646
    • /
    • 2017
  • 본 연구에서는 중층 밀도류를 모의할 수 있는 $k-{\varepsilon}$ 난류모형의 지배방정식을 제시하고 수치모의를 수행하였다. 깊은 수체에 모형을 적용하여 중층 밀도류를 모의하고 게산된 유속과 초과밀도 분포를 분석하였다. 밀도류의 주 흐름방향을 따라 물 연행으로 인해 유속이 감소되는 것과 Richardson 수의 증가로 인해 유속 변화율이 감소되는 것을 관찰하였다. 유속과 초과밀도의 유사성을 확인하였으나, 난류운동에너지와 소산율의 유사성에서는 보이지 않았다. $k-{\varepsilon}$ 모형의 모의 결과를 이용하여 중층 밀도류의 층적분 모형에서 사용될 수 있는 형상계수를 계산하였다. 또한, 층적분 모형을 이용하여 $k-{\varepsilon}$ 모형에서 사용되는 부력관련 모형상수 ($c_{3{\varepsilon}}$)와 부피팽창계수 (${\beta}_0$)를 계산하였다.

디퓨저에서 벽면으로의 방출유로에서의 압력손실 (Pressure Loss in the Discharge Flow Path from a Diffuser to a wall)

  • 이준;김영인;김성훈;이두정
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2001년도 추계학술대회논문집B
    • /
    • pp.517-522
    • /
    • 2001
  • The exit edges of a diffuser are smoothly rounded, and a wall is located perpendicularly to a diffuser exit. The fluid is discharged towards the radial direction of a diffuser after impinging against a wall from a diffuser. In this flow path, pressure loss coefficients have been calculated by the variables of Reynolds number at a diffuser inlet, distance between a diffuser exit and a wall, and turbulence models. As a result, it was calculated that $h/D_0$ ratio between $0.35\sim0.4$ has the minimum pressure loss coefficient regardless of Reynolds number and turbulence models. It was also found that in case of the flow with relatively high Reynolds number at a diffuser inlet, the pressure loss coefficients by RNG $k-\varepsilon$ model have a tendency to be near to those by standard $k-\varepsilon$ model at small ratio of $h/D_0$, but to those by RSM at large ratio.

  • PDF

점탄성 유체의 난류 해석을 위한 수정된 $k-{\varepsilon}$ 난류모델 개발 및 혈류역학에의 적용 (DEVELOPMIN OF A MODIFIED $k-{\varepsilon}$ TURBULENCE MODEL FOR VISCO-ELASTIC FLUID AND ITS APPLICATION TO HEMODYNAMICS)

  • 노경철;유홍선
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 2010년 춘계학술대회논문집
    • /
    • pp.214-220
    • /
    • 2010
  • This article described that a high Reynolds number version of a turbulence model was modified by using drag reduction to analyze the turbulent flows of non-Newtonian fluid with visco-elastic viscosity and it was applied hemodynamics which was representative of visco-elastic fluid. The turbulence characteristics of visco-elastic fluid was expanded viscous sublayer region and buffer layer region by drag reduction phenomenon and also Newtonian turbulence models does not predict because viscosity was related with shear rate of fluid flow. Hence numerical simulation using a modified turbulence model was conducted under the same conditions that were applied to obtain the experiment results and previous turbulence models and then the numerical investigation of turbulent blood flow in the stenosed artery bifurcation under periodic acceleration of the human body.

  • PDF

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

  • 감호동;김정수
    • 한국추진공학회지
    • /
    • 제17권1호
    • /
    • pp.18-25
    • /
    • 2013
  • 초음속 축소-확대 노즐 유동을 정확하게 해석하기 위하여, 실험치와 해석값 사이의 비교를 통해 난류모델 성능평가를 수행한다. Boussinesq 가정을 적용한 RANS 방정식으로 2차원 노즐 유동을 해석하되, Spalart-Allmaras, RNG k-${\varepsilon}$, 그리고 k-${\omega}$ SST 난류모델을 평가에 사용한다. 각 모델들로 계산된 노즐 벽면의 압력구배 및 충격파 구조는 실험 데이터와 유사한 결과를 보였는데, 그 중에서도 SST 난류모델이 실험값에 가장 근접한 해석결과를 나타내었다.

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

  • 김현구;이정묵;경남호
    • 한국대기환경학회지
    • /
    • 제13권1호
    • /
    • pp.65-77
    • /
    • 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.

  • PDF

난류모델에 따른 건물주위의 유동 예측 (A Prediction of the Flow Characteristics around Buildings with the Turbulent Models)

  • 이승호;여재현;허남건;최창근
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 2008년도 춘계학술대회논문집
    • /
    • pp.168-171
    • /
    • 2008
  • In the present study, turbulent flows around cubic and L-shape buildings were simulated numerically. Standard ${\kappa}$-$\varepsilon$, RNG ${\kappa}$-$\varepsilon$, LES turbulence models were adopted for the present simulation. The wind pressure coefficients from these results were compared with the available experimental data. The result of RNG ${\kappa}$-$\varepsilon$ and LES turbulent models gave better prediction than that of standard ${\kappa}$-$\varepsilon$ turbulent model which is widely used in the turbulent flow simulation.

  • PDF

표면에 부착된 장애물 주위의 난류전단유동에 관한 수치해석 (Numerical Simulation on Turbulent Shear Flows over Surface-Mounted Obstacles)

  • 명현국
    • 대한기계학회논문집B
    • /
    • 제20권8호
    • /
    • pp.2593-2600
    • /
    • 1996
  • A modified k-$\varepsilon$ turbulence model having a generality is proposed in the present study, in which the constant $C_{\varepsilon2}$in the $\varepsilon$-equation is simply changed as a functional form of a new parameter both satisfying the tensor invariant condition and representing the extra straining effect on complex shear flows. With this model turbulent shear flows over two-dimensional obstacles placed in a channel are numerically studied for different blockage ratios and aspect ratios. Comparing with the available experimental data, the predicted results with the present model provide definite improvements over the standard model's results and work fairly well with the experimental data on the size of the recirculation zone, as well as mean velocity, wall static pressure, turbulent kinetic energy and Reynolds stresses.

비선형 k-ε 모형을 이용한 부분 식생 개수로 흐름의 평균흐름 및 난류구조 수치모의 (Numerical Simulation of Mean Flows and Turbulent Structures of Partly-Vegetated Open-Channel Flows using the Nonlinear k-ε Model)

  • 최성욱;최성욱;김태준
    • 대한토목학회논문집
    • /
    • 제34권3호
    • /
    • pp.813-820
    • /
    • 2014
  • 본 연구에서는 부분 식생된 개수로에서 평균흐름 및 난류구조에 관한 수치모의 결과를 제시하였다. 이를 위하여 식생항력항이 포함된 레이놀즈 평균 Navier-Stokes 방정식을 수치해석 하였고 난류 모형으로 비선형 k-${\varepsilon}$ 모형을 이용하였다. 제시된 모형을 Nezu and Onitsuka (2001)의 실험수로에 적용하여 모의된 결과를 실험 계측자료 및 Kang and Choi (2006)의 Reynolds stress model 모의결과와 비교하였다. 실험결과와 비교한 결과에 따르면, 비선형 k-${\varepsilon}$ 모형이 평균흐름의 대체적인 경향을 잘 모의하는 것으로 확인되었다. 또한, 식생 영역과 비식생 영역의 경계면에서 쌍와 (twin vortices)가 생성되고 난류강도와 레이놀즈 응력의 최대점이 위치하는 것을 확인하였다. 레이놀즈 응력에 대해서는 경향은 잘 모의하지만 정량적으로 과소 산정하는 것으로 나타났다.