Prandtl number effects in decaying homogeneous isotropic turbulence with a mean scalar gradient

References

• Warhaft Z . Passive scalars in turbulent flows. Annu Rev Fluid Mech. 2000;32:203–240.
   Web of Science ®Google Scholar
• Sreenivasan KR . On local isotropy of passive scalars in turbulent shear flows. In: Proc R Soc Lond A: Math Phys Eng Sci. 1991;434(1890):165–182. doi:10.1098/rspa.1991.0087
   Google Scholar
• Tong C , Warhaft Z . On passive scalar derivative statistics in grid turbulence. Phys Fluids. 1994;6:2165–2176.
   Web of Science ®Google Scholar
• Pumir A . A numerical study of the mixing of a passive scalar in three dimensions in the presence of a mean gradient. Phys Fluids. 1994;6:2118–2132.
   Web of Science ®Google Scholar
• Celani A , Lanotte A , Mazzino A , et al . Universality and saturation of intermittency in passive scalar turbulence. Phys Rev Lett. 2000;84:2385–2388.
   PubMed Web of Science ®Google Scholar
• Bos WJT . On the anisotropy of the turbulent passive scalar in the presence of a mean scalar gradient. J Fluid Mech. 2014;744:38–64.
   Web of Science ®Google Scholar
• Briard A , Gomez T , Cambon C . Spectral modelling for passive scalar dynamics in homogeneous anisotropic turbulence. J Fluid Mech. 2016;799:159–199.
   Web of Science ®Google Scholar
• Danaila L , Gal PL , Anselmet F , et al . Some new features of the passive scalar mixing in a turbulent flow. Phys Fluids. 1999;11:636–646.
   Web of Science ®Google Scholar
• Herr S , Wang LP , Collins LR . EDQNM model of a passive scalar with a uniform mean gradient. Phys Fluids. 1996;8:1588.
   Web of Science ®Google Scholar
• Overholt MR , Pope SB . Direct numerical simulation of a passive scalar with imposed mean gradient in isotropic turbulence. Phys Fluids. 1996;8:3128–3148.
   Web of Science ®Google Scholar
• Mydlarski L , Warhaft Z . Passive scalar statistics in high-Péclet-number grid turbulence. J Fluid Mech. 1998;358:135–175.
   Web of Science ®Google Scholar
• Bos WJT , Touil H , Bertoglio JP . Reynolds number dependency of the scalar flux spectrum in isotropic turbulence with a uniform scalar gradient. Phys Fluids. 2005;17(12):125108.
   Web of Science ®Google Scholar
• Mydlarski L . Mixed velocity–passive scalar statistics in high-Reynolds-number turbulence. J Fluid Mech. 2003;475:173–203.
   Web of Science ®Google Scholar
• Gotoh T , Watanabe T , Suzuki Y . Universality and anisotropy in passive scalar fluctuations in turbulence with uniform mean gradient. J Turb. 2011;12:1–27.
   Web of Science ®Google Scholar
• O’Gorman PA , Pullin DI . Effect of Schmidt number on the velocity-scalar cospectrum in isotropic turbulence with a mean scalar gradient. J Fluid Mech. 2005;532:111–140.
   Web of Science ®Google Scholar
• Bos WJT , Kadoch B , Schneider K , et al . Inertial range scaling of the scalar flux spectrum in two-dimensional turbulence. Phys Fluids. 2009;21(11):115105.
   Web of Science ®Google Scholar
• Yeung PK , Sreenivasan KR . Direct numerical simulation of turbulent mixing at very low Schmidt number with a uniform mean gradient. Phys Fluids. 2014;26:015107.
   Web of Science ®Google Scholar
• Briard A , Gomez T , Sagaut P , et al . Passive scalar decay laws in isotropic turbulence: Prandtl number effects. J Fluid Mech. 2015;784:274–303.
   Web of Science ®Google Scholar
• Lesieur M . Turbulence in fluids: fluid mechanics and its applications. 4th ed. Vol. 84. Dordrecht (Netherlands): Springer; 2008.
   Google Scholar
• Mons V , Cambon C , Sagaut P . A spectral model for homogeneous shear-driven anisotropic turbulence in terms of spherically-averaged descriptors. J Fluid Mech. 2016;788:147–182.
   Web of Science ®Google Scholar
• Briard A , Gomez T , Mons V , et al . Decay and growth laws in homogeneous shear turbulence. J Turb. 2016;17:159–199.
   Web of Science ®Google Scholar
• Meldi M , Sagaut P . Further insights into self-similarity and self-preservation in freely decaying isotropic turbulence. J Turb. 2013;14:24–53.
   Web of Science ®Google Scholar
• Mons V , Chassaing JC , Gomez T , et al . Is isotropic turbulence decay governed by asymptotic behavior of large scales? An eddy-damped quasi-normal Markovian-based data assimilation study. Phys Fluids. 2014;26:115105.
   Web of Science ®Google Scholar
• Lesieur M , Ossia S . 3D isotropic turbulence at very high Reynolds numbers: EDQNM study. J Turb. 2000;1:1–25.
   Web of Science ®Google Scholar
• Pope SB . Turbulent flows. Cambridge: Cambridge University Press; 2000.
   Google Scholar
• Briard A , Gomez T . Mixed-derivative skewness for high Prandtl and Reynolds numbers in homogeneous isotropic turbulence. Phys Fluids. 2016;28:081703.
   Web of Science ®Google Scholar
• Batchelor G , Howells I , Townsend A . Small-scale variation of convected quantities like temperature in turbulent fluid Part 2. The case of large conductivity. J Fluid Mech. 1959;5:134–139.
   Web of Science ®Google Scholar
• Briard A , Gomez T . Passive scalar convective-diffusive subrange for low Prandtl numbers in isotropic turbulence. Phys Rev E. 2015;91:011001(R).
   Web of Science ®Google Scholar
• Marinis DD , Chibbaro S , Meldi M , et al . Temperature dynamics in decaying isotropic turbulence with Joule heat production. J Fluid Mech. 2013;724:425–449.
   Web of Science ®Google Scholar
• Chasnov JR . Simulation of the inertial-conductive subrange. Phys Fluids A. 1991;3:1164–1168.
   Web of Science ®Google Scholar
• Batchelor G . Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity. J Fluid Mech. 1959;5:113–133.
   Web of Science ®Google Scholar
• Gibson CH . Fine structure of scalar fields mixed by turbulence II. Spectral Theory. Phys Fluids. 1968;11:2316–2327.
   Web of Science ®Google Scholar
• Qian J . Viscous range of turbulent scalar of large Prandtl number. Fluid Dyn Res. 1995;15:103–112.
   Web of Science ®Google Scholar
• Bogucki D , Domaradzki A , Yeung PK . Direct numerical simulations of passive scalars with Pr > 1 advected by turbulent flow. J Fluid Mech. 1997;343:111–130.
   Web of Science ®Google Scholar
• Yeung PK , Xu S , Sreenivasan KR . Schmidt number effects on turbulent transport with uniform mean scalar gradient. Phys Fluids. 2002;14:4178–4191.
   Web of Science ®Google Scholar
• Yeung PK , Xu S , Donzis DA , et al . Simulations of three-dimensional turbulent mixing for schmidt numbers of the order 1000. Flow Turb Combust. 2004;72:333–347.
   Web of Science ®Google Scholar
• Eyink GL , Thomson DJ . Free decay of turbulence and breakdown of self-similarity. Phys Fluids. 2000;12:477–479.
   Web of Science ®Google Scholar
• Gotoh T , Watanabe T . Scalar flux in a uniform mean scalar gradient in homogeneous isotropic steady turbulence. Phys D. 2012;241:141–148.
   Web of Science ®Google Scholar
• Gylfason A , Warhaft Z . Effects of axisymmetric strain on a passive scalar field: modelling and experiment. J Fluid Mech. 2009;628:339–356.
   Web of Science ®Google Scholar
• Vedula P , Yeung PK , Fox RO . Dynamics of scalar dissipation in isotropic turbulence: a numerical and modelling study. J Fluid Mech. 2001;433:29–60.
   Web of Science ®Google Scholar