Nonlinear Hydrodynamical Innstabilities, Transitions, and Coherent Features: Final Report

摘要

The purpose of the research funded by this grant was to explore strongly nonlinear processes in hydrodynamical flows. To study the flows, large-scale numerical computations were required. Furthermore, each flow that was studied numerically was also examined in a laboratory experiment by another research group. Generally, the laboratory experiments were done after the numerical calculations were completed for the purpose of confirming the results and for exploring other parts of parameter space. Although all of the phenomena that we looked at were rich in nonlinear behavior, they were all bound together with a common thread: they exhibited temporally chaotic behavior while maintaining (or in some instances forming) coherent spatial structure. We summarize our main results in this paper.