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Schatz, Michael F.

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2021 Physics State of the School Address

2021-08-30 , Schatz, Michael F.

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Forecasting Turbulence

2018-11-26 , Schatz, Michael F.

Fluid turbulence is one of the greatest unsolved problems of classical physics (and the subject of a million dollar mathematical (Millenium) challenge). Centuries of research--including Leonardo da Vinci’s observations of “la turbolenza” and the best efforts of numerous physicists (Heisenberg, Kelvin, Rayleigh, Sommerfeld, ...)--have failed to yield a tractable predictive theory. However, recent theoretical and computational advances have successfully linked recurring transient patterns (coherent structures) within turbulence to unstable solutions of the equations governing fluid flow (the Navier-Stokes equations). The solutions describing coherent structures provide a geometrical structure that guides the evolution of turbulence. We describe laboratory experiments where the geometry of key coherent structures is identified and harnessed to construct a roadmap to forecast the behavior of weakly turbulent flows.