Effects of molecular diffusion on the subgrid-scale modeling of passive scalars
The spectral eddy-viscosity and eddy-diffusivity closures derived from the eddy-damped quasinormal Markovian (EDQNM) theory, and one of its physical space counterparts, i.e., the structure function model [Métais and Lesieur, J. Fluid Mech. 239, 157 (1992)], are revisited to account for molecular vis...
Saved in:
Published in | Physics of fluids (1994) Vol. 20; no. 2 |
---|---|
Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Melville, NY
American Institute of Physics
01.02.2008
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | The spectral eddy-viscosity and eddy-diffusivity closures derived from the eddy-damped quasinormal Markovian (EDQNM) theory, and one of its physical space counterparts, i.e., the structure function model [Métais and Lesieur, J. Fluid Mech.
239, 157 (1992)], are revisited to account for molecular viscosity and diffusivity effects. The subgrid-scale Schmidt number (usually set to
Sc
t
≈
0.6
) is analytically derived from the EDQNM theory and shown to be Reynolds number dependent, a property of utmost importance for flows involving scalar transport at moderate Reynolds numbers or during the transition to turbulence. A priori tests in direct numerical simulation of homogeneous isotropic turbulence [da Silva and Pereira, Phys. Fluids
19, 035106 (2007)] and in spatially evolving turbulent plane jets [da Silva and Métais, J. Fluid Mech.
473, 103 (2002)], as well as a posteriori (large eddy simulation) tests in a round jet are carried out and show that the present viscous structure function model improves the results from the classical approaches and at a comparatively small computational cost. |
---|---|
ISSN: | 1070-6631 1089-7666 |
DOI: | 10.1063/1.2844469 |