Modelling of rapid pressure-strain in Reynolds stress closures - difficulties associated with rotational mean flows.

Authors: Johansson, A.V.J., Hallbäck, M., Lindborg, E.
Document Type: Article
Pubstate: Published
Journal: Applied scientific research
Volume: 53   119-137
Year: 1994


Intercomponent energy transfer within the context of Reynolds stress closures is studied. Attention is focused on the rapid limit of homogeneous flow situations where this energy transfer is caused solely by the rapid pressure strain rate. We present and analyze the performance of the recently proposed rapid pressure strain rate model of Johansson and Hallback (J. Fluid Mech. 1994) in various homogeneous (rapid) flow situations, and compare with results obtained with other models from the literature and rapid distortion solutions. The prediction difficulties associated with rotational mean flows are analyzed. A generally formulated test case, which as special cases comprises, e.g. plane strain and homogeneous shear flow, is used to illustrate the modelling difficulties associated with rotational mean flows. An axisymmetric case is used to demonstrate that parts of the spectrum with anti-reflectional symmetry, which are instrumental for the dynamics when rotational effects are present, are totally missed in classical Reynolds stress closures. A closer prediction in cases with strong influence of rotation would require introduction of other transported quantities.