On the relationship between stochastic Lagrangian models of turbulence and second-moment closures
- 1 February 1994
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 6 (2) , 973-985
- https://doi.org/10.1063/1.868329
Abstract
A detailed examination is performed of the relationship between stochastic Lagrangian models—used in PDF methods—and second‐moment closures. To every stochastic Lagrangian model there is a unique corresponding second‐moment closure. In terms of the second‐order tensor that defines a stochastic Lagrangian model, corresponding models are obtained for the pressure‐rate‐of‐strain and the triple‐velocity correlations (that appear in the Reynolds‐stress equation), and for the pressure‐scrambling term in the scalar flux equation. There is an advantage in obtaining second‐moment closures via this route, because the resulting models automatically guarantee realizability. Some new stochastic Lagrangian models are presented that correspond (either exactly or approximately) to popular Reynolds‐stress models.Keywords
This publication has 20 references indexed in Scilit:
- Lagrangian PDF Methods for Turbulent FlowsAnnual Review of Fluid Mechanics, 1994
- Analytical Methods for the Development of Reynolds-Stress Closures in TurbulenceAnnual Review of Fluid Mechanics, 1991
- A generalized Langevin model for turbulent flowsPhysics of Fluids, 1986
- PDF methods for turbulent reactive flowsProgress in Energy and Combustion Science, 1985
- A Lagrangian two-time probability density function equation for inhomogeneous turbulent flowsPhysics of Fluids, 1983
- Computational Modeling of Turbulent FlowsPublished by Elsevier ,1979
- Computation of Turbulent FlowsAnnual Review of Fluid Mechanics, 1976
- Progress in the development of a Reynolds-stress turbulence closureJournal of Fluid Mechanics, 1975
- Kinetics of Fluorescence Quenching by Electron and H‐Atom TransferIsrael Journal of Chemistry, 1970
- Statistische Theorie nichthomogener TurbulenzThe European Physical Journal A, 1951