Problem Set #5
Due:
Friday 4 November 2011
Dynamic Meteorology 4305/5305
UNDERGRAD: HOLTON Problems: 3.1, 3.2, M3.2
(modified as directed below)
For M3.2, run the MATLAB script
trajectory_1.m
(see HW # 2 for MATLAB directions)
for the following:
a.)
x
o
= 0, c = 5 m s
-1
, and
U
= 5, 10, 20 m s
-1
(save the last image,
three figures total, one for each
U
),
b.)
x
o
= 0, c = 15 m s
-1
,
U
= 10 m s
-1
and x
o
= 1000,
c = 0 m s
-1
,
U
= 10 m s
-1
(save the last image, two figures total, one for each value of c.
Import all images (don’t forget Fig. captions!) and answer the following questions using
MsWord and han-in as an attachment via email (no dead trees please!).
1.)
Compare the trajectories in part a.) above. Why are they different?
2.)
Compare the trajectories in part b.) above. Why are they different?
3.)
Which, if any, of the figures are the trajectories and streamlines equivalent? Why?
EVERYONE: Gradient Wind balance Problem
***GRAD STUDENTS: Write a f95, idl, Matlab, etc. algorithm.***
You have been given an Excel spreadsheet (
HW5.xls
) with the following information
output from Kerry Emanuel’s tropical cyclone model
1
: the tangential winds speed
V
(m/s), and radial distance (km) from the center of rotation at a level (1.8 km AGL) where
the
radial inflow
is approximately zero. Using the Excel spreadsheet provided complete
the following (assume f = 10
-4
s
-1
,
= 1 kg m
-3
). Fill-in the spreadsheet columns as given!