Mathematical Analysis of Problems in Turbulence and Turbulent Diffusion with Many Statistical Scales

Abstract

The research program being funded here emphasizes problems in turbulence and turbulent diffusion which are inherently statistical and involve many spatio-temporal scales. One goal of the research is to achieve a better theoretical understanding of turbulent (reaction) diffusion which is crucial for many applications in environmental science and engineering such as the tracking of pollutants in the atmosphere, the behavior of chemical tracers in the ocean and porous media, and turbulent combustion. Other parts of the research emphasize the interaction and generation of both small scales and large scale coherent structure in various anisotropic turbulent flows from both a statistical and deterministic point of view. The approach to all of these issues involves a combination of asymptotic analysis, numerical computation, and theoretical analysis to gain insight into these complex and important phenomena.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1997
Accession Number
ADA344180

Entities

People

  • Andrew J. Majda

Organizations

  • New York University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Combustion
  • Computational Fluid Dynamics
  • Computations
  • Diffusion
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Mathematical Analysis
  • Mathematics
  • Monte Carlo Method
  • Numerical Analysis
  • Physics
  • Stratified Fluids
  • Turbulence
  • Turbulent Diffusion
  • Two Dimensional

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers
  • Theoretical Analysis.