Pressure Effects on Triple Correlations in Turbulent Convective Flows

  • J.-C. André
  • P. Lacarrère
  • K. Traoré


The parameterization of pressure effects on triple correlations is shown to be an important part of the closure problem.

Based on arguments relevant to homogeneous and isotropic turbulence, it is argued that pressure effects are not only of a relaxative nature. In the case of turbulent thermal convection, a parameterization scheme including non-linear and rapid effects is proposed and used within the framework of a third-order model. Comparison with experimental results by Ferreira [10] indicates that the rapid part of pressure effects represents an important contribution to the budget of triple correlations and that it prevents the development of spurious stable stratification in the interior of the convective layer.


Rayleigh Number Pressure Effect Planetary Boundary Layer Dissipative Scale Eddy Flux 
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Dimensionless constants


Eddy kinetic energy (per unit mass)


Depth of the turbulent layer


Square root of (-1 )

k, p, q, r, s

Wave-vectors in Fourier space

k, p, q, r, s

Wave-numbers in Fourier space






Convective temperature scale


\((u{{\prime }_{1}},u{{\prime }_{2}},u{{\prime }_{3}}) = (u\prime ,v\prime ,w\prime )\)= Fluctuating velocity


\(({{\hat{u}}_{\alpha }},\alpha = 1 to 3)\) Fourier transform of the fluctuating velocity field


Convective velocity scale

x =

(x 1,x 2, x 3) = (x, y, z) Position




Coefficient of thermal expansion


Buoyancy parameter


Kronecker delta


Eddy kinetic energy dissipation rate


Kinematic viscosity


Constant density


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Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • J.-C. André
    • 1
    • 2
  • P. Lacarrère
    • 1
  • K. Traoré
    • 1
  1. 1.Direction de la MétéorologieEERM/GMDBoulogneFrance
  2. 2.Department of Atmospheric SciencesOregon State UniversityCorvallisUSA

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