Notes

Slide Show

Outline

1	Course on Stability and Transition: Spatial Stability
2	Evolution of disturbances in shear flows
3	Model problem
4	Burger’s eq., cont.
5	Gaster’s transformation
6	Spatial OS-SQ system
7	Spatial OS-SQ system, cont.
8	Spatial PPF spectra
9	Boundary layer flow
10	Spatial IVP
11	Optimal spatial growth for PPF
12	2D Parabolic Stability Equations (PSE)
13	PSE, cont.
14	Growthrate and wavenumber
15	Non-parallel neutral curve for Blasius BL
16	Optimal disturbances in spatial BL
17	Spatial optimals, cont.
18	The optimization problem
19	Optimization algorithm
20	Derivation of the action of the adjoint
21	Reynoldsnumber dependence
22	Optimal growth and disturbance