F. Schmitt et al., MULTIFRACTAL TEMPERATURE AND FLUX OF TEMPERATURE VARIANCE IN FULLY-DEVELOPED TURBULENCE, Europhysics letters, 34(3), 1996, pp. 195-200
We analyse the multifractal properties of the temperature field theta
and temperature variance flux chi in atmospheric turbulence, using sim
ultaneous velocity V and temperature measurements in the atmosphere. T
his permits us first to characterize the multifractal scaling moment f
unction of the flux of temperature variance estimated as chi approxima
te to (Delta theta)(2) Delta V/l. We then study the structure function
scaling exponent of the temperature field directly, and compare it to
the consequences of the assumption of the independence of the fluctua
tions of theta and V. Up until moment orders of at least order 6, the
data analysis is consistent with independence.