Accession Number : ADA255123

Title :   Sensitivity Analysis of Hydrodynamic Stability Operators.

Descriptive Note : Contractor rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Schmid, Peter J. ; Henningson, Dan S. ; Khorrami, Mehdi R. ; Malik, Mujeeb R.

Report Date : JUL 1992

Pagination or Media Count : 27

Abstract : The eigenvalue sensitivity for hydrodynamic stability operators is investigated. Classical matrix perturbation techniques as well as the concept of epseudoeigenvalues are applied to show that parts of the spectrum are highly sensitive to small perturbations. Applications are drawn from incompressible plane Couette, trailing line vortex flow and compressible Blasius boundary layer flow. Parametric studies indicate a monotonically increasing effect of the Reynolds number on the sensitivity. The phenomenon of eigenvalue sensitivity is due to the non-normality of the operators and their discrete matrix analogs and may be associated with large transient growth of the corresponding initial value problem.

Descriptors :   *HYDRODYNAMICS, ANALOGS, BOUNDARIES, BOUNDARY LAYER, BOUNDARY LAYER FLOW, CONTRACTORS, EIGENVALUES, FLOW, LAYERS, NORMALITY, NUMBERS, PERTURBATIONS, REYNOLDS NUMBER, SENSITIVITY, STABILITY, TRANSIENTS, VALUE, FLUID DYNAMICS.

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE