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On the existence of a Generalized Langevin model representation for second-moment closures
Author(s) -
H.A. Wouters,
Tim Peeters,
Dirk Roekaerts
Publication year - 1996
Publication title -
physics of fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.188
H-Index - 180
eISSN - 1089-7666
pISSN - 1070-6631
DOI - 10.1063/1.868954
Subject(s) - realizability , physics , langevin equation , moment (physics) , statistical physics , representation (politics) , second moment of area , langevin dynamics , limit (mathematics) , closure (psychology) , brownian dynamics , classical mechanics , mathematical physics , mathematical analysis , mathematics , quantum mechanics , brownian motion , thermodynamics , algorithm , politics , political science , economics , law , market economy
The Generalized Langevin model representations of two second‐moment closure models for the rapid pressure‐strain term, proposed by Fu and Launder and by Jones and Musonge, are obtained. This representation makes it possible to use these models in PDF calculations of turbulent flows. The implications of three realizability constraints for the relationship between Langevin models and these second‐moment closures are discussed. A Generalized Langevin model representation exists only if the rapid pressure‐strain model satisfies realizability at the 2D turbulence limit.

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