Predictability and Dynamics of Geophysical Fluid Flows
نویسندگان
چکیده
The central objective of my research in this project is to understand the mathematical and physical connections between the bred-growing-mode and singular vector techniques recently developed for numerical weather prediction, the Lyapunov vectors and exponents of dynamical systems theory, and instability theories of geophysical fluid dynamics. My intent is to gain insight into fundamental mathematical and physical aspects of predictability in unstable (irregular, chaotic) continuous systems.
منابع مشابه
Some Mathematical and Numerical Issues in Geophysical Fluid Dynamics and Climate Dynamics
In this article, we address both recent advances and open questions in some mathematical and computational issues in geophysical fluid dynamics (GFD) and climate dynamics. The main focus is on 1) the primitive equations (PEs) models and their related mathematical and computational issues, 2) climate variability, predictability and successive bifurcation, and 3) a new dynamical systems theory an...
متن کاملLTCC Environmental Flows
Short description Simplified mathematical models of some large-scale atmospheric and oceanic flow features will be presented, using geophysical fluid dynamics. Syllabus This course is about aspects of geophysical fluid dynamics, relevant to the climate system. The flows to be considered will be large-scale oceanic and atmospheric features. With the aim of constructing simplified idealised model...
متن کاملEnstrophy Dynamics of Stochastically Forced Large-Scale Geophysical Flows
Enstrophy is an averagedmeasure of fluid vorticity. This quantity is particularly important in rotating geophysical flows. We investigate the dynamical evolution of enstrophy for large-scale quasi-geostrophic flows under random wind forcing. We obtain upper bounds on the enstrophy, as well as results establishing its Hölder continuity and describing the small-time asymptotics.
متن کاملPredictability in Unstable, Continuous Systems
The central objective of my research in this project is to understand the mathematical and physical connections between the bred-growing-mode and singular vector techniques recently developed for numerical weather prediction, the Lyapunov vectors and exponents of dynamical systems theory, and instability theories of geophysical fluid dynamics. My intent is to gain insight into fundamental mathe...
متن کاملParcel Eulerian–Lagrangian fluid dynamics of rotating geophysical flows
Parcel Eulerian–Lagrangian Hamiltonian formulations have recently been used in structure-preserving numerical schemes, asymptotic calculations, and in alternative explanations of fluid parcel (in)stabilities. A parcel formulation describes the dynamics of one fluid parcel with a Lagrangian kinetic energy but an Eulerian potential evaluated at the parcel’s position. In this paper, we derive the ...
متن کامل