A critical assessment of the parabolized stability equations

A Towne, G Rigas, T Colonius - Theoretical and Computational Fluid …, 2019 - Springer
The parabolized stability equations (PSE) are a ubiquitous tool for studying the stability and
evolution of disturbances in weakly nonparallel, convectively unstable flows. The PSE …

Modeling mode interactions in boundary layer flows via the parabolized Floquet equations

W Ran, A Zare, MJP Hack, MR Jovanović - Physical Review Fluids, 2019 - APS
In this paper, we develop a model based on successive linearization to study interactions
between different modes in boundary layer flows. Our method consists of two steps. First, we …

Low-complexity modeling of mode interactions in boundary layer flows

W Ran, A Zare, MJP Hack… - 2018 Annual American …, 2018 - ieeexplore.ieee.org
Low-complexity approximations of the Navier-Stokes equations have been widely used in
the analysis of wall-bounded shear flows. In this paper, we augment the linear parabolized …