Münster 1999 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 36: Chaos und Strukturbildung im Kontinuum
DY 36.7: Vortrag
Mittwoch, 24. März 1999, 18:30–18:45, R4
What can we learn from one-dimensional observables in fully developed Navier-Stokes turbulence? — •M. Greiner1, B. Jouault1, J. Schmiegel1, P. Lipa2, and H. Eggers3 — 1Max-Planck-Institut für Physik komplexer Systeme, Dresden — 2University of Arizona, USA — 3University of Stellenbosch, South Africa
Fully developed Navier-Stokes turbulence is a three-dimensional nonlinear process. Standard experimental observations record time series of the velocity field in one point, which according to Taylors frozen flow hypothesis can be interpreted as a one-dimensional spatial cut through the three-dimensional velocity field at a given fixed time. This reduction in dimensions is an important point to keep in mind when analysing and interpreting the ‘one-dimensional’ data. We discuss its implications on various inertial range observables by employing turbulent cascade models. Such observables are, for example, velocity structure functions and pdfs, and multiplier and wavelet correlations for the energy dissipation field.