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Eddy Viscosity in Truncated and Averaged Hydrodynamical Equations

G. D. RobinsonThe Center for the Environment and Man, Inc., Hartford, Conn. 06120

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Abstract

An eddy viscosity suitable for use with the spatially averaged Navier-Stokes equation is formulated and compared with Kraichnan's computations of eddy viscosity for use with the truncated spectral equations, in the special case of an energy-constrained inertial spectral range. The formulation is related to Smagorinsky's strain-dependent eddy viscosity. Numerical values of Kolmogorov's constant are established from diverse atmospheric data.

Abstract

An eddy viscosity suitable for use with the spatially averaged Navier-Stokes equation is formulated and compared with Kraichnan's computations of eddy viscosity for use with the truncated spectral equations, in the special case of an energy-constrained inertial spectral range. The formulation is related to Smagorinsky's strain-dependent eddy viscosity. Numerical values of Kolmogorov's constant are established from diverse atmospheric data.

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