Transilient Turbulence Theory. Part I: The Concept of Eddy-Mixing across Finite Distances

Roland B. Stull Boundary Layer Research Team, Department of Meteorology, University of Wisconsin, Madison, WI 53706

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Abstract

A first-order turbulence theory is developed that describes eddy-like mixing. Named transilient theory after a Latin word meaning “leap across” this approach models the turbulent mixing between arrays of points separated in space. It differs from eddy-diffusivity theory in that it is not restricted to turbulent transfer between adjacent points. By explicitly including “large eddy” effects it can handle mixing across zero-gradient and counter-gradient situations such as found in convective mixed layers. Applications might include pollutant dispersion, boundary layer modeling and cloud entrainment studies.

Abstract

A first-order turbulence theory is developed that describes eddy-like mixing. Named transilient theory after a Latin word meaning “leap across” this approach models the turbulent mixing between arrays of points separated in space. It differs from eddy-diffusivity theory in that it is not restricted to turbulent transfer between adjacent points. By explicitly including “large eddy” effects it can handle mixing across zero-gradient and counter-gradient situations such as found in convective mixed layers. Applications might include pollutant dispersion, boundary layer modeling and cloud entrainment studies.

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