Acceleration statistics as measures of statistical persistence of streamlines in isotropic turbulence
We introduce the velocity Vs of stagnation points as a means to characterize and measure statistical persistence of streamlines. Using theoretical arguments, direct numerical simulations (DNS), and kinematic simulations (KS) of three-dimensional isotropic turbulence for different ratios of inner to...
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| Veröffentlicht in: | Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2005-01, Vol.71 (1 Pt 2), p.015301-015301, Article 015301 |
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| container_issue | 1 Pt 2 |
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| container_title | Physical review. E, Statistical, nonlinear, and soft matter physics |
| container_volume | 71 |
| creator | Goto, S Osborne, D R Vassilicos, J C Haigh, J D |
| description | We introduce the velocity Vs of stagnation points as a means to characterize and measure statistical persistence of streamlines. Using theoretical arguments, direct numerical simulations (DNS), and kinematic simulations (KS) of three-dimensional isotropic turbulence for different ratios of inner to outer length scales L/eta of the self-similar range, we show that a frame exists where the average Vs = 0 , that the rms values of acceleration, turbulent fluid velocity, and Vs are related by La'/u'2 approximately (V's/u')(L/eta)(2/3+q) , and that V's/u' approximately (L/eta)q with q = -1/3 in Kolmogorov turbulence, q = -1/6 in current DNS, and q = 0 in our KS. The statistical persistence hypothesis is closely related to the Tennekes sweeping hypothesis. |
| doi_str_mv | 10.1103/PhysRevE.71.015301 |
| format | Article |
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| source | American Physical Society Journals |
| title | Acceleration statistics as measures of statistical persistence of streamlines in isotropic turbulence |
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