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