CNS201 - Topics on Complexity in the Environment: hydrodynamics and carbon transport


Topics (covered by Katul in collaboration with Albertson, Bertozzi, and Oren)

  1. Introduction: Introduction to biosphere-atmosphere mass, energy, and momentum exchange. National research priorities of this topic in the context of the USGCRP Global Water and Carbon Cycles. Introduction to computational fluid dynamics (LES and closure models) for canopy air flow, ecophysiology, ecohydrology, and the marriage of physics and biology. Lecture 1

  2. Low-dimensional models for momentum and mass exchange rates: Statistical-Dynamical approaches, choatic systems, closure problems, energetic modes and construction of low-dimensional models, organized motion in idealized turbulent flows as verification of low-dimensional models. Lecture 2

  3. Nonlinear Time Series and Data Analysis: Shannon entropy, mutual information content, wavelet thresholding, scalar measures for the degree of organization, a case study on canopy and surface layer turbulence. Lecture 3

  4. Spatial Data and Cellular Automata: Seed dispersal, turbulence, Markov Processes, 1-D Cellular Automaton, 2-D Cellular Automaton and the Game of Life Lecture 4

  5. Recent Seminars : Finland - March 16, 2007: Gaby's Seminar - 2006

Links

Wavelab: Donoho's Wavelets - for Matlab version 5.0 or higher
Numerical Receipes for Fortran - version 77 are free in pdf
Kantz's Nonlinear Time Series Toolbox for Fortran
TISEAN - A Nonlinear Time Series program
Brani Vidakovic's Wavelet Page - References/books/reviews/links/bios
Getting Started with Latex
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