Koopman Modes, Mesohyperbolicity and Effective Diffusivity in Oceanographic Flows

Abstract

To gain advantage under uncertain battle?eld condition and have an upper hand in the upcoming arctic exploration, the US Navy needs prediction tools capable of establishing ocean conditions and predict their evolution under uncertainty. Two recent developments are gaining in popularity in analysis of complexu ido ws of Navy interest. These developments are 1) the Koopman MoDecomposition, that enables discovery of main oscillatoryo w patterns and 2) Mesohyperbolici analysis, that enables analysis of structures responsible for transport in a fol w. In this proposal we outline work that is necessary to couple these two lines of investigation and obtain tools for computing a major transport property - effective diffusivity for ocean fol ws with complex tie dependence. This will ultimately lead to a substantial improvement in our ability to predict in uncertain field conditions - be it for exploratory or battle missions.

Document Details

Document Type
DoD Grant Award
Publication Date
Jan 04, 2017
Source ID
N000141712144

Entities

People

  • Igor Mezić

Organizations

  • Office of Naval Research
  • United States Navy
  • University of California, Santa Barbara

Tags

Readers

  • Distributed Systems and Data Platform Development
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers
  • Wave Propagation and Nonlinear Chaotic Dynamics.