Structural Studies of Decaying Fluid Turbulence: Effect of Initial Conditions

Details Structural Studies of Decaying Fluid Turbulence: Effect of Initial Conditions Structural Studies of Decaying Fluid Turbulence: Effect of Initial Conditions

2005-07-18

arxiv.org/abs/cond-mat/0507421v2

Phys.Rev. E72 (2005) 056307

Physics

Condensed Matter

Statistical Mechanics

9 pages, 27 figures, Accepted for publication in Physical Review E

Scientific paper

10.1103/PhysRevE.72.056307

We present results from a systematic numerical study of structural properties of an unforced, incompressible, homogeneous, and isotropic three-dimensional turbulent fluid with an initial energy spectrum that develops a cascade of kinetic energy to large wavenumbers. The results are compared with those from a recently studied set of power-law initial energy spectra [C. Kalelkar and R. Pandit, Phys. Rev. E, {\bf 69}, 046304 (2004)] which do not exhibit such a cascade. Differences are exhibited in plots of vorticity isosurfaces, the temporal evolution of the kinetic energy-dissipation rate, and the rates of production of the mean enstrophy along the principal axes of the strain-rate tensor. A crossover between non-`cascade-type' and `cascade-type' behaviour is shown numerically for a specific set of initial energy spectra.

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