Articles you may be interested inA framework for epistemic uncertainty quantification of turbulent scalar flux models for Reynolds-averaged Navier-Stokes simulations Phys. Fluids 25, 055105 (2013);
One-dimensional turbulence is a stochastic simulation method representing the time
evolution of the velocity profile along a notional line of sight through a turbulent
flow. In this paper, the velocity is treated as a three-component vector, in contrast
to previous formulations involving a single velocity component. This generalization
allows the incorporation of pressure-scrambling effects and provides a framework for
further extensions of the model. Computed results based on two alternative physical
pictures of pressure scrambling are compared to direct numerical simulations of two
time-developing planar free shear flows: a mixing layer and a wake. Scrambling
based on equipartition of turbulent kinetic energy on an eddy-by-eddy basis yields
less accurate results than a scheme that maximizes the intercomponent energy transfer
during each eddy, subject to invariance constraints. The latter formulation captures
many features of free shear flow structure, energetics, and fluctuation properties,
including the spatial variation of the probability density function of a passive advected
scalar. These results demonstrate the efficacy of the proposed representation of vector
velocity evolution on a one-dimensional domain.
A new Hamiltonian method for deformation simulations is related to the Green-Kubo fluctuation theory through perturbation theory and linear-response theory. Numerical results for the bulk and shear viscosity coefficients are compared to corresponding Green-Kubo calculations. Both viscosity coefficients depend similarly on frequency, in a way consistent with enhanced "long-time tails.
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