In this paper, we compute coherent structures based on radar data collected in Monterey Bay during August 2001 and August 2003. The Lagrangian structures are extracted from a finitetime Lyapunov exponent field. In contrast with earlier approaches, the integration time used in computing the Lyapunov exponents is not constant but adapts to the timescales of the different flow regimes present in t...

Field Alignment is a useful and often necessary preprocessing step in contemporary geophysical state and parameter estimation of coherent structures. In an advance, we introduce a new framework for using Field Alignment to quantify uncertainty from an ensemble of coherent structures. Our method, called Coalescence, discovers the mean field under non-trivial misalignments of fields with complex ...

In many applications one is interested in finding solutions to nonlinear evolution equations with a particular spatial and temporal structure. For instance, solitons in optical fibers and wave guides or buckling modes of long structures can be interpreted as localised travelling or standing waves of an appropriate underlying partial differential equation (PDE) posed on an unbounded domain. Spir...

A variety of chaotic flows evolving in relatively high-dimensional spaces are considered. It is shown through the use of an optimal choice of basis functions, which are a consequence of the Karhunen-Loeve procedure, that an accurate description can be given in a relatively low-dimensional space. Particular examples of this procedure, which are presented, are the Ginzburg-Landau equation, turbul...

Flow visualization techniques using tracer markers such as die, smoke, hydrogen bubbles, etc., have been widely used in experimental investigations of large scale structures of a variety of flow fields. They have played an important role in understanding the physics of the coherent structures formation and evolution in the transitional as well as the turbulent regions of the flow fields. Howeve...

This study investigated the effectiveness of discourse structure-based graphic organizers (GOs) on students’ reading comprehension. Seventy learners were randomly divided in two equal experimental and control groups. They took a pre-test of reading comprehension. Then the experimental group analyzed the textual structures based on the frameworks of GOs and discussed the cohesive and coherent de...