• Title/Summary/Keyword: Standard $\kappa-\varepsilon$ model

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A NUMERICAL SIMULATION OF THE PRESSURE COEFFICIENT AROUND A CUBIC BUILDING MODEL (수치풍동 기법을 이용한 정사각형 건물 주위의 풍압계수에 관한 연구)

  • Yeo, Jae-Hyun;Hur, Nahm-Keon;Won, Chan-Shik;Kim, Sa-Ryang;Choi, Chang-Koon
    • 한국전산유체공학회:학술대회논문집
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    • 2007.10a
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    • pp.162-166
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    • 2007
  • In the present study, the pressure coefficient of a cubic building model is numerically simulated. Three turbulence models of standard ${\kappa}-{\varepsilon}$, RNG ${\kappa}-{\varepsilon}$ and LES are adopted and the results are compared with the available experimental data. From the results, it has been found that RNG ${\kappa}-{\varepsilon}$ turbulence model and LES turbulence model were shown to predict fairly well the experimental pressure coefficient. In contrast, the results of the standard ${\kappa}-{\varepsilon}$ turbulence model showed large discrepancies in pressure coefficient on the side and top surfaces of the cubic building, which limits the applicability of the standard ${\kappa}-{\varepsilon}$ turbulence model on wind engineering.

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

  • Lee, Seung-Ho;Yeo, Jae-Hyun;Hur, Nahm-Keon;Choi, Chang-Koon
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.168-171
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    • 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.

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Numerical Simulation of Flow Field and Organism Concentration in a UV Disinfection Channel

  • Li, Chan;Deng, Baoqing;Kim, Chang-Nyung
    • Proceedings of the KSME Conference
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    • 2008.11b
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    • pp.2816-2821
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    • 2008
  • This paper investigates the flow field and organism concentration in a UV disinfection channel in which vertical ultraviolet lamps are arranged in a staggered configuration. Turbulence is described by low Reynolds number ${\kappa}-{\varepsilon}$ turbulence model and standard ${\kappa}-{\varepsilon}$ turbulence model, respectively. P-1 method has been employed to solve the radiative transfer equation. The obtained incident radiation is used to compute the inactivation term in the species equation. The CFD results are in good agreement with the existing experimental data for the UV channel. For the flow field, the low-Reynolds number ${\kappa}-{\varepsilon}$ model is superior to the standard ${\kappa}-{\varepsilon}$ model. The approach velocity has a significant effect on the disinfection efficiency. The organism concentration at the outlet decreases fast to a low inlet velocity.

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Finite element analysis of 2D turbulent flows using the logarithmic form of the κ-ε model

  • Hasebe, Hiroshi;Nomura, Takashi
    • Wind and Structures
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    • v.12 no.1
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    • pp.21-47
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    • 2009
  • The logarithmic form for turbulent flow analysis guarantees the positivity of the turbulence variables as ${\kappa}$ and ${\varepsilon}$ of the ${\kappa}-{\varepsilon}$ model by using the natural logarithm of these variables. In the present study, the logarithmic form is incorporated into the finite element solution procedure for the unsteady turbulent flow analysis. A backward facing step flow using the standard ${\kappa}-{\varepsilon}$ model and a flow around a 2D square cylinder using the modified ${\kappa}-{\varepsilon}$ model (the Kato-Launder model) are simulated. These results show that the logarithmic form effectively keeps adequate balance of turbulence variables and makes the analysis stable during transient or unsteady processes.

3-D Numerical Study on a Oblique Jet Impingement for Fluid flows and Heat Transfer Characteristics Using ${\kappa}-{\varepsilon}-\bar {{\upsilon}'^ 2}$ Model (${\kappa}-{\varepsilon}-\bar {{\upsilon}'^ 2}$ 모델을 이용한 경사진 충돌제트의 유동장 및 열전달 특성에 대한 3차원 수치해석적 연구)

  • Choi, Bong-Jun;Lee, Jung-Hee;Choi, Young-Ki
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.789-794
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    • 2000
  • The Paper studies the flow and heat transfer characteristics to a jet impinging at different oblique angles, to a plane surface by numerical methods. The flowfield and heat transfer rate associated with the oblique Impingement of an axisymmetric jet are of interest as a result of its presence in numerous technological Problems. For the computation of heat transfer rate, the standard ${\kappa}-{\varepsilon}$ and ${\kappa}-{\varepsilon}-\bar {{\upsilon}'^ 2}$ turbulent model were adapted. The accuracy of the numerical calculations was compared with various experimental data reported in the literature. ${\kappa}-{\varepsilon}-\bar {{\upsilon}'^ 2}$ model showed better agreement with experimental data than standard ${\kappa}-{\varepsilon}$ model in prediction of the turbulent intensity and the heat transfer rate. In the case of computation of flowfield, the study carries on the ${\alpha}=45$ deg, h/D=4.95. The jet Reynolds number based on the nozzle diameter(D), was 48,000. For the computation of heat transfer rate, the Re=20,000, the jet orifice-to-plate spacings(L/D) are 4, 6 and 10, and the angle between the axis of the jet orifice and the plate surface is set at 30, 45, 60, or 90 deg. For the smaller spacings, the near-peak Nusselt numbers are not significantly effected by the initial decreases in the Jet angle. The overall shape of the local Nusselt number x-axis profile is influenced by both the jet orifice-to-plate spacing and the jet angle.

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Comparison of Algorithm & Turbulence Modelling for Calculation of Compressor Cascade Flows (압축기 익렬 유동해석을 위한 알고리즘과 난류 모델의 비교 연구)

  • 김석훈;이기수;최정열;김귀순;임진식;김유일
    • Journal of the Korean Society of Propulsion Engineers
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    • v.4 no.4
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    • pp.59-69
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    • 2000
  • A numerical analysis based on two-dimensional, incompressible and compressible Navier-Stokes equations was carried out for double circular arc compressor cascade and the results are compared with available experimental data. The incompressible code based on SIMPLE algorithm adopts pressure weighted method and hybrid scheme for the convective terms. The compressible code with preconditioning method involves a upwind-biased scheme for the convective terms and LU-SGS scheme for temporal integration. Several turbulence models are evaluated by computing the turbulent viscous flows; Baldwin-Lomax, standard $\kappa$ -$\varepsilon$, $\kappa$ -$\varepsilon$ Lam. Bremhorst, standard $\kappa$-$\omega$, $\kappa$ -$\omega$ SST model.

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

  • Sin, Jong-Geun;Choe, Yeong-Don
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.1
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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.

Three-Dimensional Analysis of the Turbulent Wingtip Vortex Flows of a Wing with NACA 16-020 Airfoil Section (NACA16-020 익형의 단면을 갖는 날개 끝 와류 현상에 대한 3 차원 난류유동 해석)

  • Jeong, Nam-Gyun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.8
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    • pp.635-642
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    • 2009
  • The three-dimensional turbulent wingtip vortex flows have been examined in the present study by using the commercial code FLUENT. The standard ${\kappa}-{\varepsilon}$ model is used as a closure relationship. The wing is constructed by using an elliptic body whose aspect ratio is 3.8 and the NACA 16-020 airfoil section. The simulations for various angle attack (${\alpha}=0^{\circ}$, $5^{\circ}$, and $10^{\circ}$) are carried out. The effect of Reynolds number is also investigated in this study. As the angle attack increases, the wingtip vortex becomes stronger. However, the relative vortex strength to inlet velocity decreases as Reynolds number increases.

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

  • 윤순현
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.2
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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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A STUDY ON THE IMPROVEMENT OF κ-εTURBULENCE MODEL FOR PREDICTION OF THE RECIRCULATION FLOW (재순환유동 예측을 위한 κ-ε 난류모델 개선에 대한 연구)

  • Lee, Y.M.;Kim, C.W.
    • Journal of computational fluids engineering
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    • v.21 no.2
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    • pp.12-24
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    • 2016
  • The standard ${\kappa}-{\varepsilon}$ and realizable ${\kappa}-{\varepsilon}$ models are adopted to improve the prediction performance on the recirculating flow. In this paper, the backward facing step flows are used to assess the prediction performance of the recirculation zone. The model constants of turbulence model are obtained by the experimental results and they have a different value according to the flow. In the case of an isotropic flow situation, decaying of turbulent kinetic energy should follow a power law behavior. In accordance with the power law, the coefficients for the dissipation rate of turbulent kinetic energy are not universal. Also, the other coefficients as well as the dissipation coefficient are not constant. As a result, a suitable coefficients can be varied according to each of the flow. The changes of flow over the backward facing step in accordance with model constants of the ${\kappa}-{\varepsilon}$ models show that the reattachment length is dependent on the growth rate(${\lambda}$) and the ${\kappa}-{\varepsilon}$ models can be improved the prediction performance by changing the model constants about the recirculating flow. In addition, it was investigated for the curvature correction effect of the ${\kappa}-{\varepsilon}$ models in the recirculating flow. Overall, the curvature corrected ${\kappa}-{\varepsilon}$ models showed an excellent prediction performance.