Accession Number : ADA256142


Title :   The Use of Chaos Metrics to Analyze Lagrangian Particle Diffusion Models


Descriptive Note : Master's thesis


Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA


Personal Author(s) : Jackson, Korey V


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a256142.pdf


Report Date : Jun 1992


Pagination or Media Count : 162


Abstract : Chaos metrics are examined as a tool to analyze atmospheric three- dimensional dispersion models at the individual particle rather than the aggregate level. These include the self-affine fractal dimension, DA, Shannon entropy, S, and Lyapunov exponent, lambda. Intercomparison of these metrics is first performed with the one-dimensional logistics difference equation and the two-dimensional Henon systems of equations. The fractal dimension and Shannon entropy are then measured as a function of the inverse Monin-Obukhov length (1/L) for two three-dimensional Lagrangian particle dispersion models, the McNider particle dispersion model and the NPS particle dispersion model now under development. The fractal dimension and Shannon entropy uncover weaknesses in both models which are not obvious with standard geophysical measures. They also reveal similarities and difference between the atmospheric models and simple chaos systems. Combined, these chaos measures may lend detailed insight into the behavior of Lagrangian Monte Carlo dispersion models in general. Chaos, Particle diffusion, Modeling, Self-affine fractal dimension, Entropy, Lyapunov exponent.


Descriptors :   *COMPUTER PROGRAMS , *CHAOS , *ATMOSPHERE MODELS , *METRIC SYSTEM , FRACTALS , FUNCTIONS , ONE DIMENSIONAL , THESES , PARTICLES , LOGISTICS , DIFFUSION , ATMOSPHERICS , DISPERSIONS , ENTROPY , EQUATIONS , BEHAVIOR , STANDARDS , LENGTH , THREE DIMENSIONAL , DIFFERENCE EQUATIONS , MODELS , TOOLS , TWO DIMENSIONAL


Subject Categories : Atmospheric Physics
      Numerical Mathematics
      Computer Programming and Software


Distribution Statement : APPROVED FOR PUBLIC RELEASE