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Deriving Analytical Damping Functions from an Explicit Algebraic Turbulent Stress Model for Stratified Flows

Author(s): D. Violeau; M. Ferrand

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Abstract: An Explicit Algebraic Model for Reynolds stresses and active scalar turbulent fluxes is proposed for simply-stratified, stable shear flows like in rivers of estuaries, including buoyant effects due to density variations (temperature, salinity). Under equilibrium assumptions, this models leads to explicit functions of the gradient Richardson number Ri that model the damping of the eddy viscosity and eddy diffusivity coefficients. The present model is compared to other existing theoretical approaches, as well as experimental observations, with satisfactory agreement. The evolution of the turbulent Prandtl number as a function of Ri is correctly predicted and its neutral value is consistent with existing values in the literature. The behaviour of the model predicts that internal waves are responsible for momentum diffusion at large Ri, consistently with recent publications.

DOI:

Year: 2009

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