• Title/Summary/Keyword: Isotropic Turbulence

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Multi-scale coherent structures and their role in the energy cascade in homogeneous isotropic turbulence

  • Goto, Susumu
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.355-358
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    • 2008
  • In order to investigate the physical mechanism of the energy cascade in homogeneous isotropic turbulence, we introduce Galilean-invariant energy and its transfer rate in the real space as a function of position, time and scale. By using a database of direct numerical simulations (DNS) of homogeneous isotropic turbulence, it is shown that (i) fully developed turbulence consists of multi-scale coherent vortices of tubular shapes, (ii) the energy at each scale is mainly confined in vortex tubes with the radii of the same order of the length scale, and (iii) the energy transfer takes place around pairs (especially, anti-parallel pairs) of such vortex tubes. Based on these observations, it is suggested that the energy cascade can be caused, in the real space, by the process of the stretching and creation of smaller (i.e. thinner) vortex tubes by the straining field around pairs of larger (i.e. fatter) vortex tubes. Indeed, it is quite easy to find such events (in our DNS fields) which strongly support this scenario of the energy cascade.

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Multi-scale coherent structures and their role in the energy cascade in homogeneous isotropic turbulence

  • Goto, Susumu
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.355-358
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    • 2008
  • In order to investigate the physical mechanism of the energy cascade in homogeneous isotropic turbulence, we introduce Galilean-invariant energy and its transfer rate in the real space as a function of position, time and scale. By using a database of direct numerical simulations (DNS) of homogeneous isotropic turbulence, it is shown that (i) fully developed turbulence consists of multi-scale coherent vortices of tubular shapes, (ii) the energy at each scale is mainly confined in vortex tubes with the radii of the same order of the length scale, and (iii) the energy transfer takes place around pairs (especially, anti-parallel pairs) of such vortex tubes. Based on these observations, it is suggested that the energy cascade can be caused, in the real space, by the process of the stretching and creation of smaller (i.e. thinner) vortex tubes by the straining field around pairs of larger (i.e. fatter) vortex tubes. Indeed, it is quite easy to find such events (in our DNS fields) which strongly support this scenario of the energy cascade.

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On the Spectral Eddy Viscosity in Isotropic Turbulence

  • Park Noma;Yoo Jung Yu;Choi Haecheon
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.105-106
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    • 2003
  • The spectral eddy viscosity model is investigated through the large eddy simulation of the decaying and forced isotropic turbulence. It is shown that the widely accepted 'plateau and cusp' model overpredicts resolved kinetic energy due to the amplification of energy at intermediate wavenumbers. Whereas, the simple plateau model reproduces a correct energy spectrum. This result overshadows a priori tests based on the filtered DNS or experimental data. An alternative method for the validation of subgrid-scale model is discussed.

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Intermittency of helicity in isotropic turbulence (등방성 난류의 헬리스티의 간헐성)

  • Choi, Yeon-Taek;Lee, Chang-Hoon
    • 유체기계공업학회:학술대회논문집
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    • 2006.08a
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    • pp.441-444
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    • 2006
  • Helicity in isotropic turbulence was well known to have intermittent fashion in their statistics. But its exact explanation about the onset of intermittency of helicity in turbulence did not give clearly yet. Most probable causes comes from the vortical motion of the fluids. Distribution of the angle between fluid velocity and vorticity have alignment tendency. This may be a clue to investigate intermittency of helicity. In this study, we aim to review and establish approaches to reveal the mechanism and the origin of intermittency of helicity in the isotropic turbulence. To do those work, we look for some quantities like helicity, enstrophy, acceleration and its flatness. And also correlations among them are sought.

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Generation and Characterization of Homogeneous Isotropic Turbulence (균질한 등방향성 난류 생성 및 특성 변화 분석)

  • Lee, HoonSang;Han, KyuHo;Park, Han June;Jung, HyunKyun;Hwang, Wontae
    • Journal of the Korean Society of Visualization
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    • v.16 no.1
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    • pp.21-29
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    • 2018
  • Homogeneous and isotropic turbulence (HIT) with no mean flow is a very useful type of flow for basic turbulence research. However, it is difficult to generate HIT in the lab. In this study, we implemented HIT in a confined box through synthetic jet actuators using sub-woofer speakers. Characteristics of HIT are varied depending on the strength of the jets. We used 2D PIV to measure the velocity field. Turbulence statistics such as homogeneity, isotropy ratio, turbulence kinetic energy, dissipation rate, Taylor microscale, Kolmogorov scale, and velocity correlation coefficient were calculated. Most of the turbulence statistics increased exponentially according to the strength of the jets, and the Taylor Reynolds number reached up to 185.

Behavior of small particles in isotropic turbulence in the presence of gravity (중력이 존재하는 등방성 난류에서 작은 입자의 유동)

  • Cho, Seong-Gee;Yeo, Kyong-Min;Lee, Chang-Hoon
    • Proceedings of the KSME Conference
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    • 2008.11b
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    • pp.2396-2400
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    • 2008
  • The motion of small heavy particles in homogeneous isotropic turbulence in the present of gravity is investigated using Direct Numerical Simulations (DNS) at moderate Reynolds number. The Lagrangian velocity and acceleration statistics of particles and of flow for a wide range of Stokes number, defined as the ratio of the particle response time to Kolmogorov time scale of turbulence, were obtained for the direction of the gravity and normal direction, respectively. It is found that particles lose their correction faster than the case without gravity. Then, a significant increase in the average settling velocity was observed for a certain range of Stokes number. Our focus is placed on gravitational effect on very small particles. Our simulations show that as the Stokes number reduces to zero, their mean settling velocity approaches the terminal velocity in still fluid.

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REYNOLDS STRESS MODELING OF OPEN-CHANNEL FLOWS OVER BEDFORMS

  • Choi, Sung-Uk;Kang, Hyeong-sik
    • Water Engineering Research
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    • v.3 no.4
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    • pp.247-258
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    • 2002
  • This paper presents a non-isotropic turbulence modeling of flows over bedforms. The Reynolds stress model is used for the turbulence closure. In the model, Launder, Reece, and Rodi's model and Hanjalic and Launder's model are employed f3r the pressure strain correlation term and the diffusion term, respectively. The mean flow and turbulence structures are simulated and compared with profiles measured in the experiments. The numerical solutions from two-equation turbulence models are also provided for comparisons. The Reynolds stress model yields the separation length of eddy similar to the other numerical results. Using the developed model, the resistance coefficients are also estimated for the flows at different Froude numbers. Karim's (1999) relationship is used to determine the bedform geometry. It is found that the values of the form drag and the skin friction are very similar to those obtained by the other turbulence models. meaning higher values of the form drag and lower values of the skin friction compared with the empirical formulas.

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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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Effects of Freestream Turbulence Intensity on the Flow Past a Circular Cylinder (원형단면 실린더를 지나는 유동에 대한 자유류 난류강도의 영향)

  • Hwang, Jong-Yeon;Yang, Kyung-Soo;Lee, Sung-Su;Lee ,Joon-Sik;Lee, Sang-San
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.8 s.227
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    • pp.953-960
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    • 2004
  • In this study, the effects of freestream turbulence intensity on laminar-turbulent transition of separated shear layers in the wake of a circular cylinder are investigated using an immersed boundary method and LES. It is shown that the present numerical results without freestream turbulence for Re=3,900 based on bulk mean velocity and the cylinder diameter are in good agreement with other authors' experimental observations and numerical results, verifying our numerical methodology. Then a 'prescribed power spectrum' method is imposed to generate isotropic turbulence at the inlet of the computational domain at each time step. The principal effects of freestream turbulence intensity on flow statistics are investigated for Re=3,900. Statistical study reveals that the Reynolds stresses in the near-wake region gradually increase, and transition occurs further upstream, as the turbulence intensity increases. On the other hand, the bubble size behind the cylinder decreases as the turbulence intensity increases, which indicates that the freestream turbulence helps mean velocity be quickly recovered.