Rapidly sheared homogeneous stratified turbulence in a rotating frame
Journal
Physics of Fluids
Date Issued
February 23, 2007
Author(s)
Abstract
Rapid distortion theory is applied to stratified homogeneous turbulence that is sheared in a rotating
frame. Insight into the stabilizing and destabilizing effects of the combined stratification and frame
rotation is gained by considering initial fields that are two-dimensional, with the axis of
independence aligned with the flow direction. For these conditions, we derive solutions for the
Fourier components of the flow variables, and for one-point statistics in physical space. The
analytical results are in qualitative agreement with the exact numerical solution for initially isotropic
homogeneous turbulence, and they could be a reference point for the development of turbulence
models.
frame. Insight into the stabilizing and destabilizing effects of the combined stratification and frame
rotation is gained by considering initial fields that are two-dimensional, with the axis of
independence aligned with the flow direction. For these conditions, we derive solutions for the
Fourier components of the flow variables, and for one-point statistics in physical space. The
analytical results are in qualitative agreement with the exact numerical solution for initially isotropic
homogeneous turbulence, and they could be a reference point for the development of turbulence
models.