A NOTE ON THE GENERALIZED RAYLEIGH QUOTIENT FOR NONSELF-ADJOINT LINEAR-STABILITY OPERATORS

Authors
DIDWANIA AK GODDARD JD
Citation
Ak. Didwania et Jd. Goddard, A NOTE ON THE GENERALIZED RAYLEIGH QUOTIENT FOR NONSELF-ADJOINT LINEAR-STABILITY OPERATORS, Physics of fluids. A, Fluid dynamics, 5(5), 1993, pp. 1269-1271
Citations number
4
Categorie Soggetti
Mechanics,"Phsycs, Fluid & Plasmas
Journal title
Physics of fluids. A, Fluid dynamics → ACNP
ISSN journal
08998213
Volume
5
Issue
5
Year of publication
1993
Pages
1269 - 1271
Database
ISI
SICI code
0899-8213(1993)5:5<1269:ANOTGR>2.0.ZU;2-I
Abstract
As a generalization of the classical Rayleigh-Ritz technique for self- adjoint systems, a variational method that appears capable of providin g rapid estimates of the dispersion relation for complicated, non-self -adjoint linear stability operators is outlined. The method is illustr ated by examining the linear stability of Taylor-Dean flow against gen eral three-dimensional disturbances. Relatively simple trial functions provide surprisingly accurate estimates for the dispersion relation.