MAE578 Environmental Fluid Dynamics (Fall 2010)


Syllabus (Updated 8/23/2010)



Update of schedule & deadlines

* Lab demonstration #1 - Tue 11/9 afternoon:   

  (1:30-2:00 Regular office hour)
   2:15-3:00 Group 1, last name A-G
   3:15-4:00 Group 2, last name K-R
   4:15-5:00 Group 3, last name S-Z

  Location: Psychology 103 

  Note: You do not have to strickly follow the grouping 
  although it will help ensure that the lab is not overcrowded
  at any time. 

  Related material: Sec 7.2 and first part of Sec 7.3
  (Taylor-Proudman Theory and thermal wind relation)

* HW7 is due 11/17 before class
* HW8 will be handed out on 11/17, is due 12/1 before class
* Last class is 12/6
* No regular office hours after 12/6; Meeting with instructor will
  be by appointment only.

* Term paper is due 5 PM, Monday 12/13 - paper version only; No electronic submission
* Term paper will be collected at instructor's office (ISTB2 219A)
  Monday 12/13 from 9AM-5PM (allow a lunch break). Early submission 
  is welcome; please contact the instructor. 
* Preliminary report/outline of the term paper is due 12/1 before class. 
  Submission of this report is voluntary. The preliminary report will
  not be graded. Instructor will return the reports on 12/6 with comments.
  
Homework

Homework #1(slight revision, 8/25) (due 8/30/2010 before class)


Homework #2 (due 9/13/2010 before class)


Homework #3 (revised, 9/16/2010) (due 9/29/2010 before class)


Homework #4 (due 10/13/2010 before class)
Reference figure for HW4 Prob 3


Homework #5 (due 10/25/2010 before class)


Homework #6 (due 11/3/2010 before class)


Homework #7 (due 11/17/2010 before class)


Homework #8 (due 12/1/2010 before class)


Term Project

Update #1 (Theme 1)

Update #2 (Theme 2)

Update #3 (Theme 3)

Slides

#1 First-day lecture (abridged) (8/23/2010)

#2 Solar radiation (8/25/2010)

#3 Solar and terrestrial radiation (8/30/2010)

#4 Atmospheric greenhouse effect (fixed a typo in p.16, 9/5/2010) (9/1/2010)

#5 Radiative equilibrium & vertical profile of temperature (Footnotes added to pp. 6 & 7, 9/13/2010) (9/8/2010)

#6 Hydrostatic balance (9/8/2010)

#7 Potential temperature (9/15/2010)

#8 Potential temperature and static stability (9/15/2010)

#9 Convection and buoyancy oscillation (9/20/2010)

#10 Adiabatic lapse rate and static stability (9/15 and 9/20/2010)

#11 Effects of moisture on convection (9/22/2010)

#12 Theta_e and saturated adiabatic lapse rate (9/22/2010)

#13 Coriolis effect (10/25/2010)

#14 Governing equations in rotating coordinate (10/27/2010)

Matlab Examples

Example_1 - codes
Example_1 - result
This program plots the two functions, u(x) = sin(6πx)*exp(-x) 
and v(x) = cos(6πx)exp(-x), for x ∈ [0, 1]. The discretization 
interval (resolution of plot) is 0.01.

Example_2 - codes
Example_2 - result
This program generates the color+contour map for the function,  
u(x,y) = sin(2πx)sin(2πy)exp(-(x2+y2)), for x ∈ [0,1], y ∈ [0,1]. 
The discretization interval (resolution of plot) is 0.01 for both 
x and y. Contour interval is 0.1 (contour levels are -0.9, -0.8, ...,
-0.2, -0.1, 0.1, 0.2, ... , 0.8, 0.9). Contours for negative 
values are dashed. 
Note: With a given 2-D array, u(q,p), Matlab plots the contours
of u as a "map" of the matrix u(q,p), i.e., q goes up and down
and p goes left and right.  The index q would then correspond to our y,
and p to x.  This is somewhat counterintuitive so beware.