Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2001-05-13
J. Fluid Mech., 441 (2001) 109
Nonlinear Sciences
Chaotic Dynamics
10 pages, 5 Postscript figures
Scientific paper
A statistically stationary and nearly homogeneous turbulent shear flow is established by an additional volume forcing in combination with stress-free boundary conditions in the shear direction. Both turbulent energy and enstrophy are stationary to a much better approximation than in previous simulations that use remeshing. The temporal fluctuations decrease with increasing Reynolds number. Energy spectra and shear-stress cospectra show that local isotropy is satisfactorily obeyed at the level of second-order moments. However, derivative moments of high-order up to n=7 yield increasing moments for n>=4 for the spanwise vorticity and the transverse derivative of the streamwise velocity in the range of Taylor Reynolds numbers 59
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