A Theoretical Model for the Study of Convective Turbulence Decay and Comparison with Large-Eddy Simulation Data |
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Authors: | A Goulart G Degrazia U Rizza D Anfossi |
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Institution: | (1) URI-DCET, Santo Ângelo, Brazil;(2) UFSM-DF, Santa Maria, Brazil;(3) CNR-ISAC, Lecce, Italy;(4) CNR-ISAC, Torino, Italy |
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Abstract: | The development of a theoretical model fora decaying convective boundary layeris considered. The model relies on thedynamical energy spectrumequation in which the buoyancy andinertial transfer terms are retained,and a closure assumptionmade for both. The parameterization for thebuoyancy term is given providing a factorizationbetween the energy source termand its temporal decay. Regarding the inertialtransfer term a hypothesis ofsuperposition is used to describe theconvective energy source and time variationof velocity correlation separately.The solution of the budget equation for theturbulent kinetic energy spectrum is possible,given the three-dimensional initial energyspectrum. This is doneutilizing a version of the Kristensen et al.(see Boundary-Layer Meteorol.
47, 149–193)model valid for non-isotropic turbulence. During thedecay the locus of the spectralpeak remains at about the sameposition as the heat flux decreases.Comparison of the theoretical modelis performed against large-eddy simulationdata for a decaying convectiveboundary layer. |
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Keywords: | Convective boundary layer Kinetic energy Large-eddy simulation Spectrum Turbulence decay |
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