• Title/Summary/Keyword: Eddy viscosity

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Numerical Simulation of Flow Around a Slender Body at High Angle of Attack (큰 받음각을 갖는 세장형 물체 주위의 점성 유동장 수치 모사)

  • Rho Oh Hyun;Hwang Soo Jung
    • 한국전산유체공학회:학술대회논문집
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    • 1995.10a
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    • pp.3-10
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    • 1995
  • The compressible laminar and turbulent viscous flow on a slender body in supersonic speed as well as subsonic speed has been numerically simulated at high angle of attack. The steady and time-accurate compressible thin-layer Navier-Stokes code based on an implicit upwind-biased LU-SGS algorithm has been developed and specifically applied at angles of attack of 20, 30, 40 deg, respectively. The modified eddy-viscosity turbulence model suggested by Degani and Schiff was used to simulate the case of turbulent flow. Any geometric asymmetry and numerical perturbation have not been intentionally or artificially imposed in the process of computation. The purely numerical results for laminar and turbulent cases, however, show clear asymmetric formation of vortices which were observed experimentally. Contrary to the subsonic results, the supersonic case shows the symmetric formation of vortices as indicated by the earlier experiments.

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Convergence Study of Multigrid Method for K-$\omega$ Turbulence Equations (K-$\omega$ 난류방정식을 위한 다중격자기법의 수렴성 연구)

  • Park Soo Hvung;Sung Chun-ho;Kwon Jang Hyuk;Lee Seungsoo
    • Journal of computational fluids engineering
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    • v.7 no.4
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    • pp.19-27
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    • 2002
  • An efficient implicit multigrid method is presented for the Navier-Stokes and k-ω turbulence equations. Freezing and limiting strategies are applied to improve the robustness and convergence of the multigrid method. The eddy viscosity and strongly nonlinear production terms of turbulence are frozen in the coarser grids by passing down the values without update of them. The turbulence equations together with the Navier-Stokes equations, however, are consecutively solved on the coarser grids in a loosely coupled fashion. A simple limit for k is also introduced to circumvent slow-down of convergence. Numerical results for the unseparated and separated transonic airfoil flows show that all computations converge well without any robustness problem and the computing time is reduced to a factor of about 3 by the present multigrid method.

Performance Assessment of Turbulence Models for the Prediction of Tip Leakage Flow in an Axial-flow Turbomachinery (축류형 유체 기계에서 팁 누설 유동 해석을 위한 난류 모델 성능 비교)

  • Lee, Gong-Hee;Baek, Je-Hyun
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.2162-2167
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    • 2003
  • It is well-known that high anisotropic characteristic of turbulent flow field is dominant inside tip leakage vortex. This anisotropic nature of turbulence invalidates the use of the conventional isotropic eddy viscosity turbulence model based on the Boussinesq assumption. In this study, to check whether an anisotropic turbulence model is superior to the isotropic ones or not, the results obtained from steady-state Reynolds averaged Navier-Stokes simulations based on the RNG ${\kappa}-{\varepsilon}$ and the Reynolds stress model in two test cases, such as a linear compressor cascade and a forward-swept axial-flow fan, are compared with experimental data. Through the comparative study of turbulence models, it is clearly shown that the Reynolds stress model, which can express the production term and body-force term induced by system rotation without any modeling, should be used to predict the complex tip leakage flow, including the locus of tip leakage vortex center, quantitatively.

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Numerical study of CEDS scheme for turbulent flow (난류 유동장에 대한 CFDS 기법의 수치적 연구)

  • Moon Seong Mok;Kim Chongam;Rho Oh Hyun;Hong Seung Kyu
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.23-26
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    • 2002
  • An evaluation of one algebraic and two one-equation eddy viscosity-transport turbulence closure models as implemented to the CFDS(Characteristic Flux Difference Splitting) scheme is presented for the efficient computation of the turbulent flow. Comparisons of Baldwin-Lomax model as algebraic turbulence model and Baldwin-Barth and Spalart-Allmaras model as one-equation turbulence model are presented for three test cases for 3-dimensional flow. The numerical result of the CFDS schem is examined through comparison with the experimental data.

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Convergence Study of $k-{\omega}$ Turbulence Equations for Compressible Flows (압축성 유동을 위한 $k-{\omega}$ 난류방정식의 수렴성 연구)

  • Park Soo Hyung;Sung Chun-ho;Kwon Jang Hyuk;Lee Seungsoo
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.31-34
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    • 2002
  • An efficient implicit multigrid method is presented for the Navier-Stokes and $k-{\omega}$ turbulence equations. Freezing and limiting strategies are applied to improve the robustness and convergence of the multigrid method. The eddy viscosity and strongly nonlinear production terms of turbulence are frozen in the coarser grids by passing down the values without update of them. The turbulence equations together with the Navier-Stokes equations, however, are consecutively solved on the coarser grids in a loosely coupled fashion. A simple limit for k is also introduced to circumvent slow-down of convergence. Numerical results for the unseparated and separated transonic airfoil flows show that all computations converge well without any robustness problem and the computing time is reduced to a factor of about 3 by the present multigrid method.

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A Computational Study on Turbulent Flows around Single and Tandem Two-Dimensional Hydrofoils with Shallow Submergence

  • Kim, H.T.;Park, J.B.;Kim, W.J.
    • Journal of Ship and Ocean Technology
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    • v.4 no.1
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    • pp.11-20
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    • 2000
  • Reynolds-averaged Navier-Stokes equations are numerically solved using a secondorder finite difference method for the analysis of turbulent flows around single and tandem hydrofoils advancing under the free surface. The location of the free surface, not known a priori, is computed from the kinematic free surface condition and the computational grid is conformed at each iteration to the free surface deformation. The eddy viscosity model of Baldwin-Lomax is employed for the turbulence closure. The method is validated through the comparision of the numerical results with the experimental data for a single hydrofoil of a Joukowski foil section. A computational study is also carried out to investigate the effect of the submergence depth and the Froude number on the lift and the drag of the hydrofoil. For tandem hydrofoils, computations are performed for several separation distances between the forward and aft foils to see the interference effect. The result shows clearly how the lift and drag change with the separation distance.

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The analysis of flow over the bridge using preconditioned Navier-Stokes code (예조건화 Navier-Stokes 코드를 이용한 교각 유동해석)

  • Yoo, Il-Yong;Lee, Seung-Soo;Park, Si-Hyong
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.13-16
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    • 2008
  • After the collapse of the Tacoma bay bridge at Tacoma Washington, the accurate prediction of aerodynamics became crucial to the sound design of bridges. CFD(Computational Fluid Dynamics) becomes important tool for the prediction on wind effects on the bridge due to the recent development of CFD. The usage of CFD is further prompted by the advantages in using CFD, such as low-cost and fast feed-back of design. In this paper, an unsteady compressible Reynolds averaged Navier-Stokes code is used for the computation of the flow over bridges. Coakley's ��q-${\omega}$ �� two-equation turbulence model is used for the turbulent eddy viscosity. For accurate and stable computations, the local preconditioning method is adapted to the code. Aerodynamic characteristics of a couple bridges are presented to show the validity and the accuracy of the method.

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Aerodynamic Calculations in Hover of KUH Rotor Blade (한국형 기동헬기 블레이드의 제자리 비행 공력 해석)

  • Kang, Hee-Jung;Kim, Seung-Ho;Jung, Mun-Seung;Lee, Hee-Dong;Kwon, Oh-Joon
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.25-28
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    • 2008
  • An aerodynamic calculation in hover of KUH main rotor blade is performed using a three-dimensional unstructured hybrid mesh viscous flow solver. The flow solver utilizes a vertex-centered finite-volume scheme that is based on the Roe's flux-difference splitting with an implicit Jacobi/Gauss-Seidel time integration. The eddy viscosity are estimated by the Spalart-Allmaras one-equation turbulence model. A solution-adaptive mesh refinement technique is used for efficient capturing of the tip vortex. Calculations are performed at several operating conditions with varying collective pitch setting for KUH main rotor blade in hover. Good agreements are obtained between the present and other results using HOST and CAMRAD II in overall rotor performance. It is demonstrated that the present vertex-centered flow solver is an efficient and accurate tool for the assessment of rotor performance in hover.

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Navier-Stokes Computations of Supersonic Flow over Missile Afterbodies Containing a Centered Propulsive Jet (Navier-Stokes 방정식을 이용한 초음속 제트 추진 비행체 후방의 유동해석)

  • 윤병국;정명균
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.2
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    • pp.356-368
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    • 1992
  • The strongly interactive flow field near a missile afterbody containing a centered exhaust jet is numerically investigated. The thin shear layer and full formulation of compressible, Reynolds I averaged Navier-Stokes equations are solved. A time-dependent implicit numericals algorithm is used to obtain solution for a variety of flow conditions. Turbulence closure is implemented by the Baldwin-Lomax algebraic eddy viscosity model. An adaptive grid technique is adopted to resolve flow regimes with large gradients and to improve the accuracy and efficiency of the computation, Numerical results show good agreemement with experimental data in all regimes.

Development of a New E-$\varepsilon$ Turbulence Model for Analysing the Air Flow Field within an Urban Street Canyon (도시협곡내 유동장 해석을 위한 새로운 E-$\varepsilon$ 난류 모델의 개발)

  • 정상진;박옥현
    • Journal of Korean Society for Atmospheric Environment
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    • v.15 no.3
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    • pp.281-289
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    • 1999
  • A new E-$\varepsilon$ turbulence numerical model is proposed for analysing the turbulent air flow field within are urban street canyon. In this model the equations of eddy viscosity and energy dissipation ae reformed by considering the Kolmogorov time scale and streamline curvature effect. Application results of the new E-$\varepsilon$ model have been compared with those of standard E-$\varepsilon$ model and Yang and Shih's one, which are commonly used ones in engineering fields, and with field experiment results of DePaul and Sheih. The new model appears to be generally superior to other both models in the prediction of an air flow field within street canyon.

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