On Numerical Residuals and Physical Instabilities in Incompressible Steady-State Fluid Flow Calculations

Abstract

This report results from a contract tasking Vassilios Theofilis as follows: The contractor proposes to perform a three-dimensional linear instability analysis of the nonparallel steady compressible two-dimensional basic flow, which develops inside an open cavity of arbitrary aspect ratio driven by a constant free-stream velocity. The objective of the study is to determine the environmental conditions at which the flow becomes unstable to three-dimensional, periodic in the lateral direction, small-amplitude disturbances. Identification of the spatial structure of both stationary and traveling instabilities as well as prediction of the frequencies of the unstable traveling modes is paramount to devising methods for control of these instabilities. The study will be performed along the lines of his analogous work on the classic incompressible lid-driven cavity; initially steady incompressible and compressible basic states will be determined and compared with existing- and independently-performed work-in-progress; subsequently the nonparallel linear instability analysis of this state will be performed.

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Document Details

Document Type
Technical Report
Publication Date
Mar 20, 2000
Accession Number
ADA379181

Entities

People

  • Vassilios Theofilis

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Amplitude
  • Boundary Layer
  • Compressible Flow
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations Of Motion
  • Flow
  • Fluid Flow
  • Frequency
  • Incompressible Flow
  • Navier Stokes Equations
  • Spatial Distribution
  • Steady Flow
  • Steady State
  • Three Dimensional
  • Two Dimensional

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Systems Analysis and Design