TY - JOUR
T1 - Nonmodal stability theory
AU - Schmid, Peter J.
N1 - Generated from Scopus record by KAUST IRTS on 2022-09-13
PY - 2007/1/1
Y1 - 2007/1/1
N2 - 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.
AB - 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.
UR - https://www.annualreviews.org/doi/10.1146/annurev.fluid.38.050304.092139
UR - http://www.scopus.com/inward/record.url?scp=33846839377&partnerID=8YFLogxK
U2 - 10.1146/annurev.fluid.38.050304.092139
DO - 10.1146/annurev.fluid.38.050304.092139
M3 - Article
SN - 0066-4189
VL - 39
SP - 129
EP - 162
JO - Annual Review of Fluid Mechanics
JF - Annual Review of Fluid Mechanics
ER -