Turbulence and laminar structures: can they co-exist?

Astronomy and Astrophysics – Astronomy

Scientific paper

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Turbulence

Scientific paper

Schwarzschild first suggested that the laminar structures observed in the high Reynolds number ReULν~O (1012) solar photosphere are the result of turbulence rather than a proof of its absence. He reasoned that, since turbulence generates large turbulent viscosities νt>>ν, the `effective' Reynolds number ReULνt~O(1). Schwarzschild's argument is, however, incomplete, for it assumes that the entire role of the non-linear interactions is to `enhance' viscosity. While this is not true in general, we present a proof of how and why it may occur, thus completing Schwarzschild's argument. We further discuss the fact that the same non-local turbulence models reproduce Large Eddy Simulation (LES) data for a variety of flows pertaining to astrophysics, geophysics and laboratory situations (in a fraction of the time).

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