Shadowing Chaos Within Turbulence.

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.

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Document Details

Document Type
Technical Report
Publication Date
Feb 29, 1996
Accession Number
ADA313223

Entities

People

  • Alex Mahalov
  • Basil Nicolaenko

Organizations

  • Arizona State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Mechanics
  • Navier Stokes Equations
  • Simulations
  • Statistics
  • Stratified Fluids
  • Three Dimensional
  • Turbulence
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers