Accession Number : ADA313223

Title :   Shadowing Chaos Within Turbulence.

Descriptive Note : Final technical rept. 1 Mar 93-29 Feb 96,

Corporate Author : ARIZONA STATE UNIV TEMPE DEPT OF MATHEMATICS

Personal Author(s) : Nicolaenko, Basil ; Mahalov, Alex

PDF Url : ADA313223

Report Date : 29 FEB 1996

Pagination or Media Count : 21

Abstract : The first focus is on parametrization and decomposition of turbulence in geophysical flows. Such flows are described by 3D Euler/Navier-Stokes equations with Boussinesq stratification and uniform rotation. Within the context of rotation in thin atmospheric layers, we demonstrate that geophysical turbulence splits between 2D turbulence for the geostrophic component and phase turbulence for the geostrophic component. By solving low-dimensional dynamical systems, we obtain exact formulas for phase turbulence and phase scrambling in atmospheric dynamics. Numerically, this leads to rigorous non-stiff operator splitting algorithms for geophysical flows. The second focus is on inertial stability of such algorithms. The new concept of inertial stability guarantees that long time simulation of turbulence via scientific computing is indeed statistically relevant to real physical turbulence.

Descriptors :   *CHAOS, *TURBULENCE, *TURBULENT FLOW, *GEOPHYSICS, ALGORITHMS, SIMULATION, STABILITY, PHYSICAL PROPERTIES, LONG RANGE(TIME), CODING, THREE DIMENSIONAL, EULER EQUATIONS, INERTIAL SYSTEMS, NAVIER STOKES EQUATIONS, ROTATION, DECOMPOSITION, STRATIFICATION, GEOSTROPHIC CURRENTS, GEOSTROPHIC WIND.

Subject Categories : Geology, Geochemistry and Mineralogy
      Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE