Coherence, Transport, and Inference in Turbulent Dynamical Systems
Abstract
Analyzing and understanding features in chaotic and turbulent systems is central to developing modern systems that can thrive in fluid media. Prom ships in oceans to airplanes in the air, to chemical mixing and biological processes, and so forth, both the local scale of the vessels as well as the macro scale of weather and oceanic currents, it is clear that the Naval relevance of these issues call for ever better technology to analyze the underlying processes. This project concerns analysis of chaotic and turbulent systems, from a Lagrangian perspective, specifically toward a modern perspective of coherent structures for understanding transport as well as persistence of underlying structures whether they be blooms of plankton in the oceans, or cascade of energy in turbulence. We emphasized two major thrusts in this work, both working toward this major theme of understanding aspects of simplicity embedded in nonlinear systems: 1) Transport from a theory of Shape Coherence. 2) Inference in Spatiotemporal Dynamical Systems: Inverse Problems and System Inference.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 31, 2018
- Accession Number
- AD1068286
Entities
People
- Matthew E. Bollt
Organizations
- Office of Naval Research