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A daptive S ampling A nd P rediction Dynamical Systems Methods for Adaptive Sampling ASAP Kickoff Meeting June 28, 2004. Shawn C. Shadden (PI: Jerrold Marsden) California Institute of Technology. Methods for Studying Flow. First method: integration of trajectories.

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Adaptive Sampling And Prediction Dynamical Systems Methods for Adaptive SamplingASAP Kickoff MeetingJune 28, 2004

Shawn C. Shadden

(PI: Jerrold Marsden)

California Institute of Technology

methods for studying flow
Methods for Studying Flow
  • First method: integration of trajectories

Kathrin Padberg (padberg@math.uni-paderborn.de)

methods for studying flow1
Methods for Studying Flow
  • Second method: trajectories with high expansion rates
methods for studying flow2
Methods for Studying Flow
  • Third method: in-depth analysis of stretching (DLE) and transport barriers (LCS)

LCS based on HF-radar

data

Drifter data collected

from AOSNII

Shadden, Lekien,

Marsden (2004)

information provided by dynamical systems theory

Information provided by Dynamical Systems theory

Observables

  • Upwelling source
  • Barriers in the flow
  • Regions with qualitatively different dynamics.

DS Structures

  • Regions of high DLE
  • Ridges of the DLE field, i.e. LCS,
  • LCS divide the domain in dynamical regions.

LCS is a tool to help understand and visualize the global flow structure and dynamical patterns without having to compute and visualize each constituent trajectory.

continue developing dynamical system tools
Continue Developing Dynamical System Tools

Task 1:

  • Explore and improve the use of 2-D LCS for Front Tracking /Prediction, and Lagrangian Predictions
  • Study Characteristic modes of flow
    • Find time-scale of dynamically unique modes
    • Use to compute corresponding LCS
  • Extend LCS to 3-D!
lcs for sensor coverage
LCS for sensor coverage

Task 2:

  • Use LCS to partition flow into regions of different characteristic behavior
    • Determining sampling regions for gliders is simplified
    • Correlation between DLE and local statistics
    • Find best time/location for deployment and recovery
lcs for optimal path planning
LCS for Optimal Path Planning

Task 3:

  • Use LCS to help reconfigure gliders during transit periods
  • Optimal Path vs LCS:(Preliminary result)
what s needed for success

Data

HF Radar Data

Opportunity

OMA

Drifter Paths

Interface

Glider Data

What’s needed for success?

Coastal Geometry

Lagrangian Fronts

DLE

LCS

Model Data

Velocity Field

Asset Allocation

Near Optimal Paths

Operate Vehicles