Statistics of a passive scalar in homogeneous turbulence

By Takeshi Watanabe, T. Gotoh. 2004

149 citations recorded by the source corpus.

Statistics of a passive scalar with Sc=1 transported by steady homogeneous turbulence at Rλ=427 and Pλ=427 is studied by using high-resolution direct numerical simulation. The Obukhov–Corrsin constant of the three-dimensional scalar spectrum in the inertial-convective range is found to be 0.68±0.04. It is proved that the -law for the scalar-velocity triple correlation holds in both inertial-convective and viscous-convective ranges when Sc>1, and found that the -law is approached with increase in Péclet number. Structure functions of the passive scalar increment and their local scaling exponents are computed as functions of the separation distance, and it is found that there exist two scaling ranges: the inertial-convective range and a narrow precursory range to the viscous-convective range. The scaling exponents in the inertial-convective range are found to be smaller than those of the velocity field and do not saturate, whereas they saturate at about 1.5 in the short precursory range to the viscous-convective range. It is also found that, contrary to the scalar case, the mixed scalar velocity structure function has a well-developed single scaling range. The scalar and scalar dissipation fields are visualized and compared with the kinetic energy dissipation field. The scalar field has a particular shape with a large-scale plateau, sharp cliff and deep valley, a mesa-canyon structure.

Subfields: Atmospheric Science, Computational Mechanics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/ca0c8a41432e85a5fdc96c0cd06d5d5f49b04f3e

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Citations in the corpus

Study of High-Reynolds Number Isotropic Turbulence by Direct Numerical Simulation (2009, background): “Although ζ Lp differs from the K41 prediction owing to intermittency, the values for p ≤ 8 are insensitive to the large-scale conditions up to Rλ = 10,000 (Chen et al. 1997; Dhruva et al. 1997; Gotoh et al. 2002; Shen & Warhaft 2002; Watanabe & Gotoh 2004, 2007).”
Incompressible Rayleigh–Taylor Turbulence (2017, background): “…the scaling exponents of isotropic longitudinal velocity structure functions are indistinguishable from those of Navier-Stokes turbulence at comparable Reynolds numbers (see, e.g., Warhaft 2000, Watanabe & Gotoh 2004), supporting the universality of turbulence with respect to the forcing mechanism.”
Cascades and transitions in turbulent flows (2018, background): “62 for a visualization of a passive scalar Eulerian configuration [431] and for a Lagrangian evolution of a particle bunch [432]).”