Accession Number : ADA290159

Title :   Linear Stability Analysis of Hypersonic Boundary Layers.

Descriptive Note : Final rept. 1 Oct 92-30 Sep 94,

Corporate Author : STANFORD UNIV CA

Personal Author(s) : Tadepalli, Srinivas ; Ferziger, Joel H.

PDF Url : ADA290159

Report Date : 18 NOV 1994

Pagination or Media Count : 59

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)

Descriptors :   *BOUNDARY LAYER TRANSITION, *HYPERSONIC FLOW, MATHEMATICAL MODELS, ALGORITHMS, COMPUTERIZED SIMULATION, STABILITY, TWO DIMENSIONAL, GRIDS, EIGENVECTORS, EIGENVALUES, COMPUTATIONAL FLUID DYNAMICS, PROBLEM SOLVING, FINITE DIFFERENCE THEORY, COMPRESSIBLE FLOW, ERROR ANALYSIS, BOUNDARY VALUE PROBLEMS, HYDRODYNAMIC CODES, NAVIER STOKES EQUATIONS, VISCOSITY, ITERATIONS, FLAT PLATE MODELS.

Subject Categories : Fluid Mechanics
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE