Stochastic Mixing Model with Power Law Decay of Variance

Abstract

The mixing of a conserved scalar c = c(t, x), advected by a turbulent flow, remains a problem of both fundamental and practical interest. One of the basic characteristics of the mixing process is the rate at which the scalar variance sigma(exp 2)(sub c)(t) = ((c - mu)(exp 2) decays with time. Here mu is the mean value, and the angular brackets (.) denote an averaging procedure. One of the simplest and widely used mixing models is the interaction by exchange with the mean (IEM) (Villermaux & Devillon 1972) or linear mean square estimate model (LMSE) (Dopazo & O'Brien 1974, Sabel'nikov & Gorokhovski 2001). In this model, the scalar relaxes toward its mean mu according to the equation.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2003
Accession Number
ADP014811

Entities

People

  • H. Pitsch
  • M. Ihme
  • S. Fedotov

Organizations

  • Stanford University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Equations
  • Flow
  • Integral Equations
  • Integrals
  • Intensity
  • Kolmogorov Equations
  • Markov Processes
  • Probability
  • Probability Density Functions
  • Random Variables
  • Simulations
  • Turbulence
  • Turbulent Flow
  • Turbulent Mixing

Readers

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