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Isotropic hyperviscous turbulence is modelled with a pseudospectral Navier-Stokes model and comparisons are made with regular-viscosity isotropic turbulence. Two proposed means of measuring the (hyperviscous) turbulent Reynolds number are presented and critiqued, leading to a proposal for a hyperviscous turbulent Reynolds number measured as a linear function of L/λ. An analysis of the statistics of velocity and velocity-derivative fields leads to comments on appropriate uses for hyperviscosity in theoretical and practical turbulence modelling and research.
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Spyksma et al. (2012) studied this question.
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