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Stationary turbulent closure via the Hopf functional equation
Authors:Hubert H. Shen  Alan A. Wray
Affiliation:(1) Center for Turbulence Research, NASA-Ames/Stanford University, USA;(2) NASA-Ames Research Center, USA
Abstract:
Exact closed-form solutions are exhibited for the Hopf equation for stationary incompressible 3D Navier-Stokes flow, for the cases of homogeneous forced flow (including a solution with depleted nonlinearity) and inhomogeneous flow with arbitrary boundary conditions. This provides an exact method for computing two- and higher-point moments, given the mean flow.
Keywords:Navier-Stokes turbulence  closure  generating functional  Hopf equation
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