Flow Simulations: The Lagrangian Averaged Navier-stokes Equations and Optimization

Abstract

This project had two objectives in using Lagrangian techniques and their application in flows. The first research thrust area was to develop a modeling technique that will allow for efficient computation of compressible flows which could include simulations involving both shock and turbulent behavior. Spatial averaging of the nonlinear convective term was applied to the Burgers and Euler equations. The second research thrust area was the development of Lagrangian averaging tools for analyzing flow over a lifting airfoil. Stable and unstable manifolds were computed and finite time Lyapanov exponent (FTLE) of the flow map was used to identify Lagrangian coherent structures in complex unsteady flow around an Eppler 387 airfoil. The unstable and stable manifolds identify the separation and reattachment points respectively.

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Document Details

Document Type
Technical Report
Publication Date
May 19, 2009
Accession Number
ADA500786

Entities

People

  • Kamran Mohseni

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Compressible Flow
  • Computational Fluid Dynamics
  • Equations
  • Euler Equations
  • Filtration
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Mixing
  • Navier Stokes Equations
  • Simulations
  • Spatial Filtering
  • Stagnation Point
  • Turbulent Mixing
  • Two Dimensional
  • Vortex Shedding

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Control Systems Engineering.
  • Fluid Mechanics and Fluid Dynamics.