Relaxation in two dimensions and the sinh-Poisson'' equation

Journal Article · Tue Dec 31 23:00:00 EST 1991 · Physics of Fluids A; (United States)

DOI:https://doi.org/10.1063/1.858525· OSTI ID:5504922

Montgomery, D ^[1]; Matthaeus, W H; Stribling, W T; Martinez, D; Oughton, S ^[2]

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1. Department of Physics, Dartmouth College, Hanover, New Hampshire 03755-3528 (United States)
2. Bartol Research Institute, University of Delaware, Newark, Delaware 19716 (United States)

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){sup 2}, the boundary conditions are spatially periodic, and the evolution takes place over nearly 400 large-scale eddy-turnover times.

• DOE Contract Number: FG02-85ER53194; FG02-89ER53298
• OSTI ID: 5504922
• Journal Information: Physics of Fluids A; (United States), Journal Name: Physics of Fluids A; (United States) Vol. 4:1; ISSN 0899-8213; ISSN PFADE
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
LEAST SQUARE FIT
MAXIMUM-LIKELIHOOD FIT
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
RELAXATION
REYNOLDS NUMBER
TURBULENT FLOW
TWO-DIMENSIONAL CALCULATIONS