Abstract
A stochastic Lagrangian model for both fluid velocities and temperature fluctuations is evaluated from Direct Numerical Simulation of heat transport in homogeneous isotropic turbulence submitted to a linear mean temperature gradient. The first stage lies on the study of the Lagrangian fluid turbulence statistics (Lagrangian correlations functions) computed from predictions of DNS. They are crucial for the analysis and the modelling of the fluid turbulent properties along discrete particle trajectories. In the second stage, a velocity-scalar Lagrangian stochastic model is proposed and evaluated from the DNS data. The coefficients of the drift and diffusion terms of the model are determined by only Lagrangian timescales, temperature variance and turbulent flux. The shapes of correlation functions present a good agreement between DNS results and stochastic modelling approach.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Sreenivasan, K.R.: The passive scalar spectrum and the Obukhov–Corsin constant. Phys. Fluids 8, 189–196 (1996)
Warhaft, Z.: Passive scalars in turbulent flows. Annu. Rev. Fluid Mech. 32, 203–240 (2000)
Overholt, M.R., Pope, S.B.: Direct numerical simulation of passive scalar with imposed mean gradient in isotropic turbulence. Phys. Fluids 8, 3128–3148 (1996)
Yeung, P.K.: Lagrangian characteristics of turbulence and scalar transport in direct numerical simulations. J. Fluid Mech. 427, 241–274 (2001)
Pope, S.B.: Lagrangian pdf methods for turbulent flows. Annu. Rev. Fluid Mech. 26, 23–63 (1994)
Simonin, O.: Continuum modelling of dispersed two-phase flows. Von Karman Institute for Fluid Dynamics. Lecture series 1996-02, Combustion and turbulence in two-phase flows (1996)
Fox, R.O.: On velocity-conditioned scalar mixing in homogeneous turbulence. Phys. Fluids 8, 2678–2691 (1996)
Fox, R.O., Yeung, P.K.: Improved Lagrangian mixing model for passive scalars in isotropic turbulence. Phys. Fluids 15, 961–985 (2003)
Valino, L., Dopazo, C.: A binomial Langevin model for turbulent mixing. Phys. Fluids 3, 3034–3037 (1991)
Pope, S.B.: Stochastic Lagrangian model of velocitiy in homogeneous turbulent shear flow. Phys. Fluids 14, 1696–1702 (2002)
Eswaran, V., Pope, S.B.: An examination of forcing in direct numerical simulation of turbulence. Comput. Fluids 316, 257–278 (1988)
Février, P., Simonin, O., Squires, K.D.: Partitioning of particle velocities in gas-solid turbulent flows into a continuous and a spatially uncorrelated random distribution : theoretical formalism and numerical study. J. Fluid Mech. 533, 1–46 (2005)
Sato, Y., Deutsch, E., Simonin, O.: Direct numerical simulations of heat transfer by solid particles suspended in homogeneous isotropic turbulence. Int. J. Heat Fluid Flow 19, 187–192 (1998)
Calmet, I., Magnaudet, J.: Large eddy simulation of high-Schmidt number mass transfer in a turbulent channel. Phys. Fluids 9, 438–455 (1997)
Balanchadar, S., Maxey, M.R.: Methods for evaluating fluid velocities in spectral simulation of turbulence. J. Comput. Phys. 83, 96–125 (1989)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Couzinet, A., Bédat, B. & Simonin, O. Numerical Study and Lagrangian Modelling of Turbulent Heat Transport. Flow Turbulence Combust 80, 37–46 (2008). https://doi.org/10.1007/s10494-007-9081-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10494-007-9081-7