Relaxation in two dimensions and the ‘‘sinh-Poisson’’ equation | Zendy

David Montgomery | Zendy; W. H. Matthaeus | Zendy; W. T. Stribling | Zendy; Daniel Martínez | Zendy; S. Oughton | Zendy

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Relaxation in two dimensions and the ‘‘sinh-Poisson’’ equation

Author(s) -

David Montgomery,

W. H. Matthaeus,

W. T. Stribling,

Daniel Martínez,

S. Oughton

Publication year - 1992

Publication title -

physics of fluids a fluid dynamics

Language(s) - English

Resource type - Journals

eISSN - 2163-5013

pISSN - 0899-8213

DOI - 10.1063/1.858525

Subject(s) - physics , turbulence , hyperbolic function , poisson's equation , reynolds number , boundary value problem , periodic boundary conditions , statistical physics , mechanics , mathematical analysis , classical mechanics , mathematics , quantum mechanics

Long‐time states of a turbulent, decaying, two‐dimensional, Navier–Stokes flow are shown numerically to relax toward maximum‐entropy configurations, as defined by the ‘‘sinh‐Poisson’’ equation. The large‐scale Reynolds number is about 14 000, the spatial resolution is (512)2, the boundary conditions are spatially periodic, and the evolution takes place over nearly 400 large‐scale eddy‐turnover times.

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