Name _________________________

 

Date __________________________

 

 

 

 

 

 

 

 

 

 

 

Meteorology 503

Fall 2004

 

 

 

Lab 5

Homework 9

 

Paper Calcuations

 

 

 

 

1.         All labs are to be kept in a three hole binder.  Turn in the binder when you have finished the Lab.

 

2.         Show all work in mathematical problems.  No credit given if only

            answer is provided.

 


Report

 

I.  You will present the results of the study in the form of a report.  The report will have a  standard format styled on American Meteorological Society Format guidelines.

 

(Metr 403)(Introduction, Synoptic Overview, Equations, Appendices, Maps,  References).  First try at set of analyses and computations.

 

(Metr 503)  Revision and completion.  Includes posting to web and PowerPoint Presentation to class.

 

Synoptic Overview

 

Consists of “history” of paired surface and upper air system.  Student-analyzed surface charts, 500 and 300 mb charts for 00 UTC, 12 UTC, 00 UTC (22 October 2004) and 12 UTC (23 October 2004).

fax ua_300, 500, 700 and 850 printouts for the same times.  Also, includes satellite and radar imagery as needed. A “synoptic overview or history” is basically a complete weather briefing of what happened to and associated with the weather system in question.

 

Procedure

 

Specialized Charts for Analyses

 

1000-500 mb thickness, 500 mb heights/vorticity (use thickness and voricity plotted and contoured by eta_maps –times init either eta_thick or eta_vort for the three times), 1000 mb heights for the same times.

 

1.   Examine the detailed procedure sheet for Map Times 1 through 3.  For the boxes labeled A, B, C, D, I, J, K, L, Q, R, S and T indicate what charts or data you would need to obtain.  Also, in one sentence indicate a general procedure to obtain the required field.

 

2.  (Homework 9)  Print out the 1000 mb height chart (3 dm interval) for each synoptic time.  Use the contiguous US map background that is default for wxp.   Now, calculate the absolute geostrophic vorticity at 1000 mb using the same finite difference cross you utilized in Labs 3 and 4.  Make sure you add the correct value of Coriolis parameter to get the absolute vorticity (and when multiplying by g/f to get the relative vorticity).

 


 

 

Diagnosis of the Evolution of a Middle Latitude Cyclone

on the Basis of Sutcliffe-Petterssen Development Equation

 

Abstract

 

I.          Introduction -- (Includes purpose and what you are going to do, etc.)

 

II.         Synoptic Overview     (A discussion of the synoptic situation and history of the disturbance utilizing appropriate charts and diagrams;  e.g., upper troposphere, surface charts, divergence, vertical velocity fields, satellite imagery, thickness etc.  Can consist of multiple subsections related to dynamics and thermodynamics.  In certain case studies, another section related to subsynoptics may be appropriate.)

 

III.        Governing Equations (Not the whole derivation, which should be in the Appendices, but the final equation with all the terms written out and conceptually explained. For example, in section II you might put something like "The Sutcliffe-Petterssen Development Equation is

 

        (1a,b)

The entire derivation of this equation is included in Appendix 1.").

 

IV.        Procedure  (Write in your own words what procedure was undertaken to estimate terms etc. which times were selected etc.).

 

V.         Results of the study (A detailed description of your numerical results and their implications)

 

VI.        Discussion of results  --  Should include, but not necessarily limited to:

 

a.         a discussion of the contributing factors to the development of the 1000    

            mb disturbance or pattern based upon your calculations as input to the

            SPDE introduced in II.  This discussion should include the relative 

            importance of terms, the reasons for error, etc.

 

b.         a discussion of the worth of the SPDE equation as a synopticians tool-- 

            synopticians often only relate cyclonic vorticity advection at LND

            (anticylonic vorticity advection at LND) to surface cyclogenesis (anti-

             cyclogenesis).  Based upon the results of your study, comment on the

             validity of that assumption.

 

VI.        Summary  and Conclusions

 

V.         Appendices

 

            Equations etc. (any derivations that are extensive and not specifically related to the main thrust of the paper.)

 

VI.        Maps -- (all analyses should be labeled consecutively Figure 1, Figure 2, etc. and referred to specifically in the text.  They will be folded neatly and put into envelope at rear of folder)

 

VII.       References

 

 

 

 

 

 

 

 

 

Map Time 1

Map Time 2

Map Time 3

1

A

I

Q

=VA

2 (NB:  Need to get "c")

 

B

Need VA1

J

Need VA2

(VA2+VA1)/2

Mean System Relative Voriticiy Advection

 

R

Need VA3

(VA2+VA3)/2

Mean System Relative Voriticty Advection

 

 

3

C

 

Thickness Field

K

 

Thickness Field

S

 

Thickness Field

4

D

 

Laplacian of C

 

L

 

Laplacian of K

 

T

 

Laplacian of S

 

5

E

M

 

U

 

6

F

N

 

(J+M)(12 hours)

V

 

(R + U)(12 hours)

7

G

O

 

(A + N) = qest

W

 

(I + V) = qest

Error = (7 - 1)/1

8

H

P

 

(O - I) / I

X

 

(W - Q)/ Q