Direct numerical simulations of the turbulent mixing of a passive scalar

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  • V. Eswaran
    Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853
  • S. B. Pope
    Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853

説明

<jats:p>The evolution of scalar fields, of different initial integral length scales, in statistically stationary, homogeneous, isotropic turbulence is studied. The initial scalar fields conform, approximately, to ‘‘double-delta function’’ probability density functions (pdf ’s). The initial scalar-to-velocity integral length-scale ratio is found to influence the rate of the subsequent evolution of the scalar fields, in accord with experimental observations of Warhaft and Lumley [J. Fluid Mech. 88, 659 (1978)]. On the other hand, the pdf of the scalar is found to evolve in a similar fashion for all the scalar fields studied; and, as expected, it tends to a Gaussian. The pdf of the logarithm of the scalar-dissipation rate reaches an approximately Gaussian self-similar state. The scalar-dissipation spectrum function also becomes self-similar. The evolution of the conditional scalar-dissipation rate is also studied. The consequences of these results for closure models for the scalar pdf equation are discussed.</jats:p>

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