Course on Stability and
Transition: Spatial Stability
Evolution of disturbances
in shear flows
Model problem
Burger’s eq., cont.
Gaster’s transformation
Spatial OS-SQ system
Spatial OS-SQ system,
cont.
Spatial PPF spectra
Boundary layer flow
Spatial IVP
Optimal spatial growth
for PPF
2D Parabolic Stability
Equations (PSE)
PSE, cont.
Growthrate and wavenumber
Non-parallel neutral
curve for Blasius BL
Optimal disturbances in
spatial BL
Spatial optimals, cont.
The optimization problem
Optimization algorithm
Derivation of the action
of the adjoint
Reynoldsnumber dependence
Optimal growth and
disturbance