Fluid Turbulence and Statistical Physics: Novel Links and Fresh Directions

Add to your list(s) Download to your calendar using vCal

• Gregory Eyink (Johns Hopkins University)
• Friday 07 January 2022, 15:30-16:30
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact nobody.

TURW01 - Turbulence: where do we stand and where are we heading?

In the great tradition linking turbulence and statistical physics, we discuss new connections that hold great promise for important progress, mainly for high Reynolds number turbulence but also for transitional turbulence and bridging the wide range of intermediate Reynolds numbers. First we discuss recent work showing that thermal noise become significant already at the Kolmogorov scale, making it clear that deterministic Navier-Stokes equation is inadequate to describe the turbulent dissipation range in molecular fluids. Second, we discuss how indeterminacy from molecular noise propagates to any length scale in the turbulent flow within one eddy turnover time at that scale, and relations with “spontaneous stochasticity” of Lagrangian particle trajectories and the Nash non-rigidity phenomenon discovered in the convex integration constructions of weak Euler solutions.  Finally, in wall-bounded flows we discuss a classical Josephson-Anderson relation, analogous to those in superfluids and superconductors, which explains drag by the flux of spanwise vorticity away from the wall and across the streamlines of the background potential Euler flow. This relation makes important connections with the Onsager theory for wall-bounded turbulence, the D’Alembert paradox, and large-eddy simulation modelling of turbulence in the presence of solid boundaries.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.