NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
A comparison of numerical methods for the Rayleigh equation in unbounded domainsA second-order finite difference and two spectral methods, including a Chebyshev tau and a Chebyshev collocation method were implemented to determine the linear hydrodynamic stability of an unbounded shear flow. The velocity profile of the basic flow in the stability analysis mimicks that of a one-stream free mixing layer. Local and global eigenvalue solution methods are used to determine individual eigenvalues and the eigenvalue spectrum, respectively. The calculated eigenvalue spectrum includes a discrete mode, a continuous spectrum associated with the equation singularity and a continuous spectrum associated with the domain unboundedness. The efficiency and the accuracy of these discretization methods in the prediction of the eigensolutions of the discrete mode were evaluated by comparison with a conventional shooting procedure. Their capabilities in mapping out the continuous eigenvalue spectra are also discussed.
Document ID
19910021551
Document Type
Technical Memorandum (TM)
Authors
Liou, W. W. (NASA Lewis Research Center Cleveland, OH., United States)
Morris, P. J. (Pennsylvania State Univ. University Park., United States)
Date Acquired
September 6, 2013
Publication Date
August 1, 1991
Subject Category
NUMERICAL ANALYSIS
Report/Patent Number
NAS 1.15:105179
CMOTT-91-04
ICOMP-91-13
E-6476
NASA-TM-105179
Funding Number(s)
CONTRACT_GRANT: NASA ORDER C-99066-G
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

Available Downloads

NameType 19910021551.pdf STI