Linear Stability Analysis of Hypersonic Boundary Layers.

Abstract

For linear stability analysis of high speed boundary layers, we use a direct method for its ability to yield eigenvalues without a priori knowledge and to capture all modes. Temporal linear stability analysis is performed for the 2D boundary layer on a flat plate using the local parallel flow assumption. An estimate of all the eigenvalues is obtained by solving the generalized eigenvalue problem; a local eigenvalue search is used to improve the accuracy of the most unstable eigenvalue. A compact fourth order accurate method is to compute both the mean flow and the most unstable eigenfunction. This method is more efficient than lower order methods. Local grid refinement based on error estimates is useful in providing the accuracy needed for initial conditions for direct numerical simulation of transition. Grid adaptation based on refinement yields better than power law convergence in the mean flow error. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Nov 18, 1994
Accession Number
ADA290159

Entities

People

  • Joel H. Ferziger
  • Srinivas Tadepalli

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Control
  • Boundary Layer Transition
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Equations
  • Fluid Flow
  • Fluid Mechanics
  • Free Stream
  • Heat Transfer
  • Laminar Boundary Layer
  • Mach Number
  • Prandtl Number
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.
  • Regression Analysis.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers