Stability of Ocean Flows

The goal of the project on stability of ocean flows is to develop the theory of linear stability appropriate for understanding the growth of perturbations in dynamical systems with emphasis on oceanic applications. The theory is based on analysis of the non-normality of the dynamical operator and it subsumes the traditional modal stability theory and extends it naturally to time scales for which time asymptotic modal theory is inappropriate as well as to time dependent systems where the modal ansatz can not be made.

Publications

Moore, A. M., and B. F. Farrell, 1992: An adjoint method for obtaining the most rapidly growing perturbation to Oceanic Flows. J. Phys. Ocean., 338-345. pdf

Moore, A. M., and B. F. Farrell, 1993: Rapid perturbation growth in spatially and temporally varying oceanic flows as determined by an adjoint method: application to the Gulf Stream. J. Phys. Ocean., 1682-1702. pdf

Moore, A. M., and B. F. Farrell, 1994: Using adjoint models for stability and predictability analysis. Data assimilation: a new tool for modelling of the ocean in a global change perspective. NATO ASI Series, Vol. I 19, Data Assimilation, P. P. Brasseur and J. C. J. Nihoul Eds., Springer-Verlag, Berlin, 217-239 .