REYNOLDS STRESS ANISOTROPY IN ROTATING HOMOGENEOUS DECAY

In rotating homogeneous decay, the prolate quadratic form associated with the normalized Reynolds (NR-) stress is elongated by a coupling between velocity fluctuations and the Coriolis acceleration. This paper shows that this well-known turbulence phenomenon is consistent with an algebraic anisotropic prestress (APS-) closure for the NR-stress that unifies the study of turbulent flows in rotating and non-rotating frames-of-reference. The APS-closure is a non-negative mapping of the NR-stress into itself and is, thereby, universally realizable for all turbulent flows.