Forecasting Fluid Flows Using the Geometry of Turbulence.

  title={Forecasting Fluid Flows Using the Geometry of Turbulence.},
  author={Balachandra Suri and Jeffrey Tithof and Roman O. Grigoriev and Michael F. Schatz},
  journal={Physical review letters},
  volume={118 11},
The existence and dynamical role of particular unstable solutions (exact coherent structures) of the Navier-Stokes equation is revealed in laboratory studies of weak turbulence in a thin, electromagnetically driven fluid layer. We find that the dynamics exhibit clear signatures of numerous unstable equilibrium solutions, which are computed using a combination of flow measurements from the experiment and fully resolved numerical simulations. We demonstrate the dynamical importance of these… 

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