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ℝfT = The Bulk Flux Richardson Number
19861) IR f T is the ratio between the gain in potential as well as turbulent kinetic energy due to the entrained mass and the energy available for the turbulence, i.e. the production, corrected for the rate of change of the turbulent kinetic energy of the turbulent body.
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On the Scale-dependence of the Gradient Richardson Number in the Residual Layer
Boundary-Layer Meteorology, 2007We present results of a technique for examining the scale-dependence of the gradient Richardson number, Ri, in the nighttime residual layer. The technique makes use of a series of high-resolution, in situ, vertical profiles of wind speed and potential temperature obtained during CASES-99 in south-eastern Kansas, U.S.A. in October 1999.
Ben B. Balsley +2 more
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Rethinking the gradient Richardson number
201567
Pelegrí, Josep Lluís, Sangrà, Pablo
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The Critical Richardson Number and Its Implications for Forecast Problems
Journal of Applied Meteorology, 1964Abstract It is shown that, in the lowest few hundred meters, nighttime inversions tend to break down due to onset of turbulence when the Richardson number falls between 0.2 and 0.5. Since the Richardson number is statistically related to the wind speed at one to a few hundred meters, it is found that the dew-point depression in the morning, as well as ...
Richard Lyons +2 more
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Statistics of the Richardson Number: Mixing Models and Finestructure
Journal of Physical Oceanography, 1996Abstract Parameterization of the dissipation rate of turbulent kinetic energy (ϵ) in terms of Richardson number (Ri = N2/S2) is examined for a variety in internal wave environments. Previous work with these data suggests a scaling of ϵ ∼ E2N2g(w) to within a factor of 2, where E represents a low-wavenumber shear spectral density, N the background ...
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A Richardson Number criterion for the air-sea interface
Boundary-Layer Meteorology, 1988It is shown that the observationally determined roughness relation z0 = αu*2/g in which g is the acceleration of gravity, u*, is the friction velocity in air, and α = 0.0185 (Wu, 1982) for the wind profile over the sea surface relative to the surface current, is consistent with the existence of a Richardson Number criterion at the air-sea interface in ...
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Shear and Richardson number in a mode-water eddy
Deep Sea Research Part II: Topical Studies in Oceanography, 2008Abstract Measurements of stratification and shear were carried out as part of the EDDIES tracer release experiment in mode-water eddy A4 during the summer of 2005. These measurements were accomplished using both shipboard instrumentation and a drifting mooring.
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Representing Richardson Number Hysteresis in the NWP Boundary Layer
Monthly Weather Review, 2015Abstract Turbulence in the planetary boundary layer (PBL) transports heat, momentum, and moisture in eddies that are not resolvable by current NWP systems. Numerical models typically parameterize this process using vertical diffusion operators whose coefficients depend on the intensity of the expected turbulence.
Ayrton Zadra, Ron McTaggart-Cowan
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A Study of Richardson Number and Instability in Moist Saturated Flow
Chinese Journal of Geophysics, 2007AbstractIn this paper, we derived the Ri equations in dry and moist saturated atmosphere. A rainfall case which occurred in Northern China is numerically simulated, and the model output data is used to calculate and analyze comparatively the terms of Ri equations in dry air and moist saturated flow.
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General Formulation of the Gradient Richardson Number for RANS Modelling
AIAA SCITECH 2023 Forum, 2023Ströer, Philip, Knopp, Tobias
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