Revisiting and revising Tatarskii’s formulation for the temperature structure parameter ($$C_T^2$$) in atmospheric flows

Abstract

Abstract In this paper, we revisit a well-known formulation of temperature structure parameter ( $$C_T^2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>C</mml:mi> <mml:mi>T</mml:mi> <mml:mn>2</mml:mn> </mml:msubsup> </mml:math> ), originally proposed by V. I. Tatarskii. We point out its limitations and propose a revised formulation based on turbulence variance and flux budget equations. Our formulation includes a novel physically-based outer length scale which can be estimated from routine meteorological data.

Topics & Concepts