Stochastic Modeling of Shear Flow Turbulence
The goal of the project on stochastic modeling of shear flow turbulence is to develop theory and models for fully developed turbulence in strongly sheared flow based on analysis of the stochastic dynamics of the underlying highly non-normal dynamical system supporting the turbulence..
Farrell, B.F., and P. J. Ioannou, 1993: Stochastic forcing of perturbation variance in unbounded shear and deformation flows. J. Atmos. Sci. , 50, 200-211. pdf
Farrell, B.F., and P. J. Ioannou, 1993: Stochastic forcing of the linearized Navier-Stokes equations. Phys. Fluids , A5, 2600-2609. pdf
Farrell, B.F., and P. J. Ioannou, 1994: Variance maintained by stochastic forcing of non-normal dynamical systems associated with linearly stable shear flows. Phys. Rev. Letters , 72, 1188-1191. pdf
Farrell, B.F., and P. J. Ioannou, 1998: Perturbation structure and spectra in turbulent channel flow. Theor. Comput. Fluid Dynamics , 11,, 237-250. pdf