Abstract
We present a new finite-mode spectral model resulting from the addition of an eddy viscosity term to the Navier-Stokes equations at wavenumbers k greater than the inflection point k c of the energy flux F(log(k)) across k. The eddy viscosity is fixed so that the energy spectrum satisfies E(k) = E(k c )(k/k c )−3 for k > k c . This resulting forcing induces a very rapid depletion of the energy cascade at wavenumbers k > k c . Two-point statistics of a model implementation compare well with corresponding statistics obtained from direct numerical simulations.
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Lévêque, E., Koudella, C.R. (2001). A Finite-Mode Spectral Model of Homogeneous and Isotropic Navier-Stokes Turbulence. In: Geurts, B.J., Friedrich, R., Métais, O. (eds) Direct and Large-Eddy Simulation IV. ERCOFTAC Series, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1263-7_9
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DOI: https://doi.org/10.1007/978-94-017-1263-7_9
Publisher Name: Springer, Dordrecht
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