Velocity Filtered Density Function for Large Eddy Simulation of a Turbulent Mixing Layer

Abstract

The "velocity filtered density function" (VFDF) methodology is employed for large eddy simulation (LES) of a three-dimensional, temporally developing, turbulent mixing layer. A transport equation is derived for the VFDF in which the effects of the subgrid scale (SGS) convection appear in closed form. The unclosed terms in this equation are modeled. A system of stochastic differential equations (SDEs) which yields statistically equivalent results to the modeled VFDF transport equation is proposed. These SDEs are solved numerically by a Lagrangian Monte Carlo procedure. The VFDF results are compared with those obtained via several existing SGS closures and with data obtained by direct numerical simulation (DNS) of the mixing layer.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2001
Accession Number
ADP013649

Entities

People

  • F. A. Jaberi
  • L. Gicquel
  • P. Givi
  • Stephen B. Pope

Organizations

  • University at Buffalo

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Boltzmann Equation
  • Combustion
  • Computational Fluid Dynamics
  • Differential Equations
  • Engineering
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Fokker Planck Equations
  • Large Eddy Simulation
  • Simulations
  • Three Dimensional
  • Turbulent Flow
  • Turbulent Mixing
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)