Course on Stability and
Transition: Spatial Stability
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
Parabolic Stability
Equations (PSE)
PSE, cont.
Growthrate and wavenumber
Non-parallel neutral
curve for Blasius BL
Step-size restriction
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