Friday, July 18

2:00 PM-2:45 PM
Chair: James Sethian, University of California Berkeley, and Lawrence Berkeley National Laboratory
Kresge Auditorium

New Perspectives in Turbulence: Scaling, Asymptotics, and the Role of Intermittency

Similarity theory, intermediate asymptotics, and the statistical theory of vortex motion are used to examine the basic self-similar states of turbulence theory. In the case of wall-bounded flows, it is shown that for finite viscosities the appropriate description of the intermediate region is a scaling (power) law, and the vanishing viscosity limit of that power law is examined. In the case of the Kolmogorov-Obukhov law, it is shown that there are no intermittency corrections to the scaling of the first three moments; at finite viscosity there may be a correction due to the increased coherence of a slightly viscous vortex system. Implications for the numerical modeling of turbulent flow will be indicated.

Alexandre Chorin
Department of Mathematics, University of California, Berkeley

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MMD, 3/26/97