Nonmodal Stability Theory
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- 1 January 2007
- journal article
- Published by Annual Reviews in Annual Review of Fluid Mechanics
- Vol. 39 (1) , 129-162
- https://doi.org/10.1146/annurev.fluid.38.050304.092139
Abstract
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.Keywords
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