Landsat 7 image if von Karman vorticies: As air flows over and around objects in its path, spiraling eddies, known as Von Karman vortices, may form. The vortices in this image were created when prevailing winds sweeping east across the northern Pacific Ocean encountered Alaska's Aleutian Islands. More images http://landsat.gsfc.nasa.gov/earthasart
An amount of energy from the Sun is intercepted by the Earth. While, exactly this amount of energy is ultimately radiated back to space, Earth’s, spherical shape and rotation causes local imbalance between incoming and outgoing radiation. This discrepancy gives rise to motions that ensure the radiative balance. Understanding the structure and dynamics of the atmosphere is central to forecasting weather and understanding climate. This course aims to build a fundamental set of physical principles and apply them to understanding large-scale atmospheric motions. We explore the dynamics of the Earth's atmosphere and basic properties and laws governing atmospheric motion. Mathematical descriptions of the atmospheric dynamics are constructed and interpreted in terms of their physical significance. By the end of this course we will have investigated phenomena such as geostrophic flow, mountain waves, planetary waves, mid-latitude cyclones, the planetary boundary layer, and the general circulation of the atmosphere.
Instructor: David Noone<dcn@colorado.edu>
When: Fall 2009; Tuesday and Thursday 9:30-10:45 am
Where: Duane, E126
Prerequisites: One year of calculus and one year of physics with calculus
Grading: Homework (25%), projects (25%), weekly exercises (10%), mid-term exam (10%) and final exam (30%)
Office hours: Tuesdays, 2-5pm, by email (or other) appointment.
Syllabus: Download the class outline and syllabus.
The textbooks can be found on reserve in the Lester Math Physics Library, which is on level 2 of the Duane Physics building, toward the east end.
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Holton, J. R., An introduction of Dynamic Meteorology, Elsevier Academic Press, 4th
ed., 2004. |
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Rogers, R. R., and M. K. Yau, A short course in cloud physics, Butterworth and
Heinemann, 3rd ed., 1989. |
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Charney, J. G, On the scale of atmospheric motions. J. Meteor, 4, 135-163, 1948.
Charney, J. G., Fjortoft, R., and von Neumann, J., Numerical integration of the barotropic vorticity equation. Tellus, 2(4), 1950
Davis, C., S. Low-Nam, M. A. Shapiro, X.Zou and A. J. Krueger, Direct retrieval of wind from Total Ozone mapping Spectrometer (TOMS) data: Examples from FASTEX. Quart. J. Roy. Met. Soc., 1253375-3391, 1999.
Hoskins, B. J., M. E. McIntyre and A. W. Robertson, On the use and significance of isentropic potential vorticity maps. Quart. J. Roy. Met. Soc., 111877-946, 1985.
Phillips, N. A., The general circulation of the atmosphere: a numerical experiment. Quart. J. Roy. Met. Soc., 82123-165, 1956.
Thorpe, A. J., Volkert, H., and Ziemianski, M. J., The Bjerknes' Circulation Theorem: A Historical Perspective Bull Amer. Met. Soc., 84(4), 471-480, 2003
Lecture notes and other material from class will be put here after class. See reading for material to be covered next class. Reading is given as
H for Holton, RY for Rogers and Yau, with section numbers (inclusive).
| Week | # | Date | Topic/Notes | Reading | Assign. | Other |
|---|---|---|---|---|---|---|
| I | 01 | 25 Aug | Overview | - | ||
| 02 | 27 Aug | Forces and rotation | H 1.1-1.5 | EX1, Hadley 1735 | Air hockey movie | |
| II | 03 | 1 Sep | No class | |||
| 04 | 3 Sep | Coriolis and rotation | H 1.6 | (EX1 in class), EX2 | ||
| III | 8 Sep | Class cancelled | ||||
| 05 | 10 Sep | Advection and spherical coords. | H 2.1-2.4 | (EX 2 in class, EX3 |
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| IV | 06 | 15 Sep | Continuity, (dry) thermo | H 2.5-2.6,RY1 | (EX2 +3 in class), EX 4 | |
| 07 | 17 Sep | Adiabatic processes, potential temperature | RY2, H2.7 | (EX 4 in class) EX5 |
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| V | 08 | 22 Sep | Entropy, dry adiabats | RY 2-3 | (EX 5 in class) EX6 |
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| 09 | 24 Sep | Buoyancy | RY 2-3 | HW 1 assigned | ||
| VI | 10 | 29 Sep | Moisture and pseudoadiabats | RY 3, H9.5 | ||
| 11 | 1 Oct | Moist convection | RY 3, H9.5 | HW 1 due | ||
| VII | 12 | 6 Oct | Isobaric coordinates | H 3.1-3.2 | HW 2 | |
| 13 | 8 Oct | Balanced flow | H 3.3--3.5 | |||
| VIII | 14 | 13 Oct | Mid term exam | RY 1-3, H 1-3 | HW 2 due | |
| 15 | 15 Oct | Thermal wind, divergence and vertical motion | H 3.6 | EX 7 | ||
| IX | 16 | 20 Oct | Circulation | H 4.1 | EX 7 in class, EX8 | |
| 17 | 22 Oct | Circulation theorem | H 4.2 | |||
| X | 18 | 27 Oct | Vorticity | H 4.4-4.5 | ||
| 19 | 29 Oct | Vorticity Equation | H 4.4-4.5, Ch 7 | HW3 | ||
| XI | 20 | 3 Nov | Vorticity scaling, and barotropic cases | H 4.4-4.5, | ||
| 21 | 5 Nov | Field trip - 9am. 930:10:15 measurements | H 5 | PR1 | East Boulder Community Center. See maps here. | |
| XII | 22 | 10 Nov | Turbulent flux | H 5.1-5.2 | HW3 due | |
| 23 | 12 Nov | Boundary layers, mixing length | H 5.2-5.3 | |||
| XIII | 24 | 17 Nov | The surface layer | H 5.3 | ||
| 25 | 19 Nov | Ekman layers | H 5.3-5.4 | PR1 due | ||
| XIV | 24 Nov | Thanksgiving - no classes | ||||
| 26 Nov | Thanksgiving - no classes | |||||
| 26 | 1 Dec | Rossby wave modeling | H 7.7, 13.4 | |||
| XV | 27 | 3 Dec | Computer lab | |||
| 28 | 8 Dec | Quasi-geostrophic waves | H 6 - 6.2, | |||
| XVI | 29 | 10 Dec | Summary, exam revision, problem solving | RY1-3, H1-6,7 | PR2 due | |
| Exam | 15 Dec | Take home exam. | Due Friday 18 Dec |
Homework can be handed in after class. Hand in a hard copy! Please resist the urge to email me a PDF or other electronic document unless you make special arrangements with me before hand.
HW1: Thermodynamic equation and moisture:
Download the assignment
Visit the
NCAR/NCEP reanalysis archive at NOAA:
http://www.cdc.noaa.gov/data/ncep_reanalysis/
HW2: Balanced flow and thermal wind: Download the assignment
HW3: Circulation and vorticity: Download the assignment
PR1: Boulder layer:
Download the assignment
Maps to the field site (might be useful
to find the latitude and longitude of the site)
RTD route 203 is the bus to catch.
Instruction manual and notes
on the micromet tower (by Dave Porter)
Some weather maps: SLP+ thick,
vortcity,
vert vel,
T850+rhum,
200 hPa wind,
Pwater+cape
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Field data:
Wind data and
Temperature data One excel file with all balloon data (notice only 5 of 6 at the moment), or individual text files readable with IDL (see read_balloon.pro) for... Balloon 1, launch at 9:52am
Team 1 data and
Team 2 data |
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Balloon Super-pro show down, time and place to be determined.
PR2: Modeling the large scale flow: Download the assignment.
You can obtain the model source code
here (bvmb-5050.tar.gz), and
read the quick tutorial.
These are both available on atoc. (ssh atoc.colorado.edu). Note the
updated IDL script.
You should be able to compile and run it on atoc with the default set up. Running on other machines may (will) need some additional configuration (specifically, fortran compiler name and the location of your NetCDF library). Also, the data files are provided in 64-b little endian unformatted fortran. (i.e., like atoc). If this is not what you are using, you may have other problems.
For visualization, there is an IDL script provided. But you can certainly use
what ever you like to analyze your results.
Need an account on atoc? Email
trouble@atoc.colorado.edu, and ask for an account for ATOC 5050.
Charney, J. G., Fjortoft, R., and von Neumann, J., Numerical integration of the barotropic vorticity equation. Tellus, 2(4), 1950
Exam questions will be of the style and complexity of homework assignments, examples given in class, and problems from the text book.
Midterm: In class, based on "Basic principles" and "Elementary applications".
Final: Monday, 14 December, 7:30-10 pm (!)
Focus on "Vorticity and circulation", "Boundary layers" and "Quasi-geostrophic analysis",
although you are advised to revise material from earlier lectures
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