Energy dissipation rates, eddy diffusivity, and the Prandtl number: An in situ experimental approach and its consequences on radar estimate of turbulent parameters

Bertin, F.; Barat, J.; Wilson, Richard

doi:10.1029/96rs03691

Cited by 60 publications

(63 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ottersten, 1969;Weinstock, 1981;Bertin et al, 1997). It is based on the consideration of turbulence energy balance (see Ottersten, 1969) with the hypothesis of incompressibility, isotropic and stationary turbulence.…”

Section: Remarks About the Proposed Methodsmentioning

confidence: 99%

Turbulence parameter estimations from high-resolution balloon temperature measurements of the MUTSI-2000 campaign

et al. 2005

View full text Add to dashboard Cite

Abstract. Turbulence parameters in the tropo-stratosphere are analyzed using high-resolution balloon temperature measurements collected during the MUTSI (MU radar, Temperature sheets and Interferometry) campaign which took place near the Middle and Upper atmosphere (MU) radar (Japan, 35 • N, 136 • E) in May 2000. Vertical profiles of the specific dissipation rate of turbulent kinetic energy, ε, and turbulent diffusivity, K, are estimated from the Thorpe lengthscale, L T . The last is obtained by using two methods. The first one consists of measuring directly L T by reordering the potential temperature profiles. The second method is based on estimates of the temperature structure constant, C 2 T . A relationship between L T and C 2 T can be found by assuming either adiabatic vertical displacements or a model based on turbulent energy balance consideration. Analysis shows that the adiabatic assumption gives indirect estimates of L T more consistent with direct measurements. We also found that vertical profiles of analyzed turbulence characteristics show substantial intermittency, leading to substantial scatter of the local, median and average values. General trends correspond to a decrease in ε and K from the boundary layer up to altitudes 20-25 km. Layers of increased turbulence are systematically observed in the tropo-stratosphere, which may be produced by instabilities of temperature and wind profiles. These maxima may substantially increase local values of turbulence diffusivity.

show abstract

Section: Remarks About the Proposed Methodsmentioning

confidence: 99%

Turbulence parameter estimations from high-resolution balloon temperature measurements of the MUTSI-2000 campaign

et al. 2005

View full text Add to dashboard Cite

show abstract

“…Barat and Bertin, 1984;Bertin et al, 1997;Hocking, 1999). The empirical constant α is taken as 0.5 (Bertin et al, 1997;Antonia et al, 1981). The Heisenberg model "breaks" at k 0 , which is the intersection of the asymptotic form of W (ω) in the inertial and viscous subrange.…”

Section: Appendix C Derivation Of the Inner Scale From The Heisenbergmentioning

confidence: 99%

LITOS – a new balloon-borne instrument for fine-scale turbulence soundings in the stratosphere

2011

View full text Add to dashboard Cite

Abstract.We have developed a new compact balloon payload called LITOS (Leibniz-Institute Turbulence Observations in the Stratosphere) for high resolution wind turbulence soundings in the stratosphere up to 35 km altitude. The wind measurements are performed using a constant temperature anemometer (CTA) with a vertical resolution of ∼2.5 mm, i.e. 2 kHz sampling rate at 5 m/s ascent speed. Thereby, for the first time, it is possible to study the entire turbulence spectrum down to the viscous subrange in the stratosphere. Including telemetry, housekeeping, batteries and recovery unit, the payload weighs less than 5 kg and can be launched from any radiosonde station. Since autumn 2007, LITOS has been successfully launched several times from the LeibnizInstitute of Atmospheric Physics (IAP) in Kühlungsborn, Germany (54 • N, 12 • E). Two additional soundings were carried out in 2009 in Kiruna, Sweden (67 • N, 21 • E) as part of the BEXUS program (Balloon-borne EXperiments for University Students). We describe here the basic principle of CTA measurements and prove the validity of this method in the stratosphere. A first case study allows a clear distinction between non-turbulent regions and a turbulent layer with a thickness of some tens of meters. Since our measurements cover the transition between the inertial and viscous subrange, energy dissipation rates can be calculated with high reliability.

show abstract

“…In fact, several recent data have shown that mixing persists even after Ri = 1. These data include meteorological observations (Kondo et al 1978;Bertin et al 1997;Mahrt & Vickers 2005;Uttal et al 2002;Poulos et al 2002;Banta et al 2002), lab experiments (Strang & Fernando 2001;Rehmann & Koseff 2004;Ohya 2001), LES Zilitinkevich & Esau 2007), DNS (Stretch et al 2001), oceanic measurements (Mack & Schoeberlein 2004), and theoretical modeling (Sukoriansky et al 2005). constructed a model called "energy and flux-budget turbulence closure" that has no Ri(cr).…”

Section: Features Of the Model: No Ri(cr)mentioning

confidence: 99%

Stellar mixing

Canuto

2011

A&A

View full text Add to dashboard Cite

In this paper we use the Reynolds stress models (RSM) to derive algebraic expressions for the following variables: a) heat fluxes; b) μ fluxes; and c) momentum fluxes. These relations, which are fully 3D, include: 1) stable and unstable stratification, represented by the Brunt-Väisäla frequency,; 2) double diffusion, salt-fingers, and semi-convection, represented by the density ratio R μ = ∇ μ (∇ − ∇ ad ) −1 ; 3) shear (differential rotation), represented by the mean squared shear Σ 2 or by the Richardson number, Ri = N 2 Σ −2 ; 4) radiative losses represented by a Peclet number, Pe; 5) a complete analytical solution of the 1D version of the model. In general, the model requires the solution of two differential equations for the eddy kinetic energy K and its rate of dissipation, ε. In the local and stationary cases, when production equals dissipation, the model equations are all algebraic.

show abstract

Energy dissipation rates, eddy diffusivity, and the Prandtl number: An in situ experimental approach and its consequences on radar estimate of turbulent parameters

Cited by 60 publications

References 38 publications

Turbulence parameter estimations from high-resolution balloon temperature measurements of the MUTSI-2000 campaign

Turbulence parameter estimations from high-resolution balloon temperature measurements of the MUTSI-2000 campaign

LITOS – a new balloon-borne instrument for fine-scale turbulence soundings in the stratosphere

Stellar mixing

Contact Info

Product

Resources

About