Nonmodal stability theory

Peter J. Schmid (1)

1 LadHyX - Laboratoire d'hydrodynamique

Hydrodynamic stability theory has recently seen a great deal of development. After being dominated by modal (eigenvalue) analysis for many decades, a different perspective has emerged that allows the quantitative description of short-term disturbance behavior. A general formulation based on the linear initial-value problem, thus circumventing the normal-mode approach, yields an efficient framework for stability calculations that is easily extendable to incorporate time-dependent flows, spatially varying configurations, stochastic influences, nonlinear effects, and flows in complex geometries. Copyright © 2007 by Annual Reviews. All rights reserved.

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Peter J. Schmid. Nonmodal stability theory. Annual Review of Fluid Mechanics, 2007, 39 (janvier), pp.129-162. ⟨10.1146/annurev.fluid.38.050304.092139⟩. ⟨hal-01023333⟩