Realizability of the Reynolds stress and rapid pressure-strain correlation in turbulence modelling uri icon

abstract

  • A detailed study of Reynolds stress realizability issues is presented in this paper. A direct relation between Reynolds stress realizability and the Cauchy-Schwarz constraint on rapid pressure-strain correlation closure is revealed and examined. Model computations are used to demonstrate that realizability violation of the Reynolds stresses is preceded by unrealizable rapid pressure-strain correlation (correlation violating the Schwarz inequality) in a wide variety of homogeneous flows considered. It is also shown that realizable Reynolds stresses do not guarantee that the underlying rapid pressure-strain correlation model is realizable (satisfies the Schwarz inequality). It confirms that to achieve a fully-realizable physically-attainable turbulence model, realizability constraints (Girimaji 2002 J. Fluid Mech submitted) on the rapid pressure-strain correlation must be satisfied. When the rapid pressure-strain closure is truncated using constraints, a piece-wise linear model that fully satisfies the Reynolds stress realizability requirements is obtined. 2004 IOP Publishing Ltd.

published proceedings

  • JOURNAL OF TURBULENCE

author list (cited authors)

  • Sambasivam, A., Girimaji, S. S., & Poroseva, S. V.

citation count

  • 8

complete list of authors

  • Sambasivam, A||Girimaji, SS||Poroseva, SV

publication date

  • February 2004