Stefan LLEWELLYN SMITH
EBUII 574
x23475
http://www-mae.ucsd.edu/~sgls
This is the homepage for MAE210C during Spring Quarter 2013. Last
updated: May 31, 2013.
Practical details
Lectures: ThTh 9:30–10:50 am, CSB 005 No formal office hours; I sit
in EBU II 574. It is your responsibility
to come and find me if you have questions, concerns, etc...You
can e-mail me to make an appointment or drop by (I may be busy - see
my calendar).
Required text
The most helpful book is Hydrodynamic Instabilities by
François Charru, CUP 2011. I have asked for the following
books to be placed on reserve at the Science & Engineering
library (link here):
Hydrodynamic instabilities / François Charru ;
translated by Patricia de Forcrand-Millard
Hydrodynamic Stability / P.G. Drazin, W.H. Reid
Introduction to hydrodynamic stability / P.G. Drazin
Stability and transition in shear flows / Peter J. Schmid, Dan
S. Henningson
Stability of parallel flow [by] Robert Betchov [and] William
O. Criminale, Jr
Theory and computation of hydrodynamic stability / W.O.
Criminale, T.L. Jackson, R.D. Joslin
Hydrodynamic and hydromagnetic stability / by S. Chandrasekhar
Syllabus
Introduction
Instabilities of fluids at rest
TBD
TBD
TBD
Lecture Schedule
Apr 2: I
Introduction
Apr 4:
Apr 9:
Apr 11:
Apr 16: I will be away
Apr 17: II Instabilities of fluids at rest
Apr 18:
Apr 23:
Apr 24:
Apr 25:
Apr 30: I will be away
May 2: I will be away
May 7:
May 8:
May 9:
May 14:
May 16:
May 21:
May 23:
May 28:
May 30:
Jun 4:
Jun 6:
Homework
Homework policy: you may discuss problems among yourselves, but
everything you write and hand in should be your own work. (C:
Charru, D: Drazin.)
I Due Apr 18. Analyze the system xt = x(2-y-x),
yt = (x-2)y, D 2.4 (to make a bifurcation
diagram, sketch the fixed point u as a function of the parameter
R in the (R,u) plane), D 2.18, C 1.6.7. Solution.
II Due May 3. D 4.1, D 6.10 (E 6.7 should have -bZ on
the right-hand side), C 2.8.4, C 2.8.5. Solution.
III Due May 16. D 8.10, D 8.17, D 8.24, C 4.5.2. Solution.
Presentations during the final exam slot. Handout.
Grading policy
I remind you of UCSD's policy
on academic dishonesty. I may rescale the three components
(homework, midterm, presentation and project) separately to arrive
at the final grade.