• 제목/요약/키워드: Vortex Stretching

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일차 및 축대칭유동에서 밀도변화가 난류에 미치는 영향 (Effects of Dilatation and Vortex Stretching on Turbulence in One-Dimensional and Axisymmetric Flows)

  • 김진화;유정열;강신형
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2002년도 학술대회지
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    • pp.831-834
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    • 2002
  • An analytic approach is attempted to predict the amplification of turbulence in compressible flows experiencing one-dimensional and axisymmetric bulk dilatation. The variations of vortex radius and vorticity are calculated, and then the amplification of turbulence is obtained from them by tracking three representative vortices. For a one-dimensionally compressed flow, the present analysis slightly underestimates the amplification of velocity fluctuations and turbulent kinetic energy, relative to that of rapid distortion theory in the solenoidal limit. For an axisymmetrically distorted flow, the amplification of velocity fluctuations and turbulent kinetic energy depend not only on the density ratio but also on the ratio of streamwise mean velocities, which represents streamwise vortex contraction/stretching. In all flows considered, the amplification of turbulence is dictated by the mean density ratio. In the axisymmetric flow, streamwise vortex stretching/contraction, however, alters the amplification slightly.

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고차평균법에 의한 난류구조의 규명 및 난류모델의 개발 (Investigation of Turbulence Structures and Development Turbulence Model Based upon a Higher Order Averaging Method)

  • 여운광;편종근
    • 한국해안해양공학회지
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    • 제4권4호
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    • pp.201-207
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    • 1992
  • Yeo(1987)에 의하여 유도된 평균된 비선형괴의 표현식을 이론 및 실험적 분석을 통하여 난류구조의 특성을 밝혔다. 일반 평균정의식으로부터 가우스형 필터함수를 사용하여 얻어진 이 식에 의하면 종래와 같이 비선형항을 4개의 항으로 분리하여 각각을 해석할 필요가 없으며 기존 난류모형이 갖는 Closure문제로 인한 한계성도 극복할 수 있는 가능공을 보여주고 있다. 새로이 유도된 표현식으로부터 종래 개염적으로만 인식되어 왔던 vortex stretching현상을 이논적으로 도출할 수 있었으며 실제 난류자료의 분석결업 이들의 영향이 지배적임을 입증하였다. 따라서 vortex stretching의 영향을 무시한 난류모형은 그 타당성을 상설하게 된다. 또한 LES모형에 적용시킨 결과 일반적 형태의 에너지 표현식을 얻을 수 있었으며 기존의 Smagorinsky모형, 회전모형및 SGS에너지 모형은 완전히 별개의 것이 아니라 난류에너지 중 변형 및 회전에 의한 영향의 고려 가부에 따라 구분되어짐을 보였다.

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삼차원 와선의 비정상 거동에 의한 원거리 음압의 수치해석 (Numerical Calculation of the Far Field Acoustic Pressure from the Unsteady Motion of the Three-dimensional Vortex Filament)

  • 유기완;이덕주
    • 대한기계학회논문집A
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    • 제21권6호
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    • pp.942-950
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    • 1997
  • Far field acoustic pressure from the evolution and interaction of three-dimensional vortex filament is calculated numerically. A vortex ring is a typical example of the three-dimensional vortex filament. An elliptic vortex ring emits a strong sound signal due to significant distortion and stretching of the vortec filament. The far field acoustic pressure is linearly dependent on the third time derivatives of the vortex positions. A numerical scheme of high resolution is employed to describe in detail the elliptic vortex ring motions which ar highly nonlinear. Descretized vortex filaments are interpolated by using a parametric blending function to remove a possible numerical instability. The distorted vortex filament, owing to the self-induced and the induced velocity from the other vortex segments, is redistributed at each time step. The accuracy and efficiency of the scheme are validated by comparisons with the analytic solution of circular vortex ring interaction.

잔류내 응집 와류의 수치 해석 (Numerical Study of Coherent Vortex in Late Wake Downstream of a Sphere in Weakly Stratified Fluid)

  • 이승수;이영규;양경수
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.1863-1868
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    • 2003
  • Decades of studies of geophysical flow have unveiled that the flow downstream of obstacles in stratified flow consists of attached wake and strong internal waves, or separated, fluctuating wake and persistent late wakes. Among unique and interesting characteristics of the stratified flow past obstacles is the generation of coherent vortex the late wake far downstream of the object. Unlike in homogeneous fluid, the flow field downstream self-develops coherent vortex even after diminishing of the near wake, no matter how small the stratification is. This paper present a computational approach to simulate the generation of the coherent vortex structure in late wake of a moving sphere submerged in weakly stratified fluid. The results are in consistent with several experimental observations and the vortex stretching mechanism is employed to explain the process of coherence.

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대향류 비예혼합화염과 상호작용하는 단일 와동의 생성특성에 관한 연구 (An Investigation on the Formation Characteristics of a Single Vortex Interacting with Counterflow Nonpremixed Flame)

  • 유병훈;오창보;황철홍;이창언
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 2002년도 제25회 KOSCI SYMPOSIUM 논문집
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    • pp.49-56
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    • 2002
  • A two-dimensional direct numerical simulation is performed to investigate the formation characteristics of a single vortex interacting with $CH_4/N_2$-Air counterflow nonpremixed flame. The numerical method was based on a predictor-corrector scheme for a low Mach number flow. The detailed transport properties and a 16-step augmented reduced mechanism are adopted in this calculation. The budgets of the vorticity transport equation arc examined to reveal the mechanisms leading to the formation, evolution and dissipation of a single vortex interacting with counterflow nonpremixed flame. It is found that the stretching term, which depends on the azimuthal component of vorticity, and radial velocity, mainly generates vortieitv in non-reacting and reacting flows. The viscous and baroclinic torque term destroy the vorticity in non-reacting flow. In addition, the baroclinic torque term due to density and pressure gradient generates vorticity, while viscous and the volumetric expansion terms due to density gradient destroy vorticity in reacting flow.

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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
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    • 제22권5호
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    • pp.595-608
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    • 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.

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대칭단면에서의 난류모형 비교 (Comparison of Various Turbulence Models for the Calculation of Plane of Symmetry Flows)

  • 손창현;최도형;정명균
    • 대한기계학회논문집
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    • 제13권5호
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    • pp.1052-1060
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    • 1989
  • 본 연구에서는 0-방정식 난류모형과 2-방정식 난류모형 그리고 역압력 구배와 수렴과 발산의 영향을 고려한 2-방정식 난류모형을 사용하여 대칭단면에서의 난류유동 을 해석하고, 계산 결과를 비교하여 난류모형의 적절성을 평가하고자 한다.

약한 밀도 층상류에서 발생하는 물체 후류의 잔류와 응집 와류의 형성 (Formation of Coherent Vortices in Late Wake Downstream of an Object in Weakly Stratified Fluid)

  • 이승수;김학선
    • 대한조선학회논문집
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    • 제48권5호
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    • pp.414-420
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    • 2011
  • Decades of studies of geophysical flow have unveiled that the flow downstream of obstacles in stratified flow consists of attached wake and strong gravity waves, or separated, fluctuating wake and persistent late wakes. Among unique and interesting characteristics of the stratified flow past obstacles is the generation of coherent vortex in the late wake far downstream of the object. Unlike in homogeneous fluid, the flow field downstream self-develops coherent vortex even after diminishing of the near wake, no matter how small the stratification is. This paper present a computational approach to simulate the generation of the coherent vortex structure in the late wake of a moving sphere submerged in weakly stratified fluid. The results are in consistent with several experimental observations and the vortex stretching mechanism is employed to explain the process of coherence.

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

  • Goto, Susumu
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 학술대회
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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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    • 한국전산유체공학회 2008년 추계학술대회논문집
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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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