By Frédéric Moisy, Javier Jiménez (auth.), SHIGEO KIDA (eds.)
Elementary vortices – these tubular swirling vortical buildings with focused vorticity quite often saw in several types of turbulent flows – play key roles in turbulence dynamics (e.g. enhancement of combining, diffusion and resistance) and symbolize turbulence statistics (e.g. intermittency). as a result of their dynamical significance, manipulation of ordinary vortices is anticipated to be powerful and priceless in turbulence keep watch over in addition to in building of turbulence modeling. the main complex learn works on hassle-free vortices and similar difficulties have been provided and mentioned on the IUTAM Symposium in Kyoto, Japan, 26-28 October 2004. This ebook includes forty contributions provided there, the topics of which disguise vortex dynamics, coherent constructions, chaotic advection and combining, statistical houses of turbulence, rotating and stratified turbulence, instability and transition, dynamics of skinny vortices, finite-time singularity, and superfluid turbulence. The publication can be important for readers of graduate and complicated degrees within the box of fluid turbulence.
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Additional resources for IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamics: Proceedings of the IUTAM Symposium held at Kyoto International Community House, Kyoto, Japan, 26-28 October 2004
Sample text
We immerse the columnar vortex, and perform the time integration of Eqs. (1) and (2). For small AD (≤ 10−1 ), we cannot find the excitation of the vortex wave via visualization techniques. 5 ), we find humps on the surface of the vortex core. Next, we focus on the small-scale structures, which depend on AD in the initial turbulent field. For small AD (≤ 10−1 ), we observe that they deform to spirals and surround the vortex core. 5 ), the circumference of the spirals become short, and they cannot surround the vortex core.
Figure 6. 4. The extracted subvolume at each time is shown by the box. 6, then to AR ≈ 1 at St = 1, shortly after which the tube begins a transition to a hairpin vortex. As shown in Figs. 6(c)-(f), the process involves the elongating and flattening of the vortex tube and the bending over and formation of a rather flattened head that is distinct Dynamics of small-scale vorticity and strain-rate structures 29 from a single tube-like leg. As the vortex elongates and bends, the leg of the hairpin remains tube-like with little overlap with the more concentrated strainrate fluctuations.
1992) with experiment (and subsequently others) found that in isotropic turbulence vorticity fluctuations tend to align with the second principal eigenvector of the strain-rate tensor, and that this eigenvalue tends to be positive with a ratio α : β : γ of roughly 2 : 1 : −3. Figure 3a shows the pdf of βn ≡ β/(s2 /6)1/2 in the isotropic state and under shear when S ∗ = 10, where βn is bounded between +1 and -1. 2 is most common. 6. Thus, shear has a strong tendency to move the local fluctuating strain-rate field asymptotically towards local twodimensionality with second eigenvalue reduced relative to the extensional and compressional eigenvalues.