07C ATMO 336-501-502 Epifanio

07C ATMO 336-501-502 Epifanio - Atmospheric Sciences 336...

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Unformatted text preview: Atmospheric Sciences 336 Introduction to Atmospheric Dynamics Fall 2007 Lecture: 9:10—10:00 MWF, 110 085M Instructor: Prof. Craig Epifanio, 1017B 085M, 845—9224, cepi©tamu.edu Office Hours: 1:10—2:10 TR Lab Sections: 4:10~5:00 MW (Lab Sec A) or 11:10—12:00 TR (Lab Sec B), 1107 0&M TA: Tingting Qian, 1011 085M, qiantingting©neo.tamu.edu Office Hours: 11:00—12:00 W Description: ATMO 336 is the first of a two—course sequence presenting an introduction to fluid dynamics in the atmosphere. The course is divided roughly into three parts. The first part of the course reviews the basic principles governing fluids at rest and provides a descriptive introduction to fluid motions in terms of kinematics. The second part considers the forces at work in the atmosphere and develops some simple approximate diagnostic relations for application to large—scale flows. The remainder of the course then develops the full mathematical description of fluid mechanics in preparation for ATMO 435. Prerequisites: ATMO 335, MATH 311 (or co—enrollment therein) Homework: Problem sets will be assigned roughly weekly. You are encouraged to work together in groups to solve the problems. However, please make sure that your presentation of the problem reflects your understanding of the solution. Plagiarism—mindlessly adopting another’s words or ideas as if they were your own—will be penalized. Grading: Roughly weekly problem assignments (15%), roughly bi—weekly lab writeups (15%), two in—class exams (22% each), and a final exam (26%). Texts: The recommended text for the course is: An Introduction to Dynamic Meteorology, by James R. Holton. The lab section of the course will involve problems and examples developed in the MATLAB computing environment. A recommended reference text for those unfamiliar with MATLAB is A MATLAB Companion for Multivartable Calculus, by Jeffery Cooper. Course Outline: (Section numbers from Holton are given in brackets) I. Fluid Statics and Kinematics A. Fluids at rest 1. The continuum hypothesis [1.1} 2. Equations of state, the first law of thermodynamics, and potential temperature 3. Gravity and hydrostatics [1.6] 4. Static stability and the buoyancy frequency [2.7.2,2.7.3] B. Descriptors of fluid motions: Intro to kinematics 1. Velocity gradients, stretching and shearing 2. Divergence, vorticity and deformation 3. Flux and circulation 4. Streamlines and path lines a 7n. II. Diagnostic Relations for Large-scale Flows A. The fundamental forces 1. The pressure gradient force [1.4.1] 2. Gravity revisited [1.4.2,1.5.1,1.5.2] 3. The Coriolis force [1.5.3,2.1.1,2.2] B. Large—scale balance relations 1. The notion of scale: Idealized circular motion [3.2] The Rossby number 2. Geostrophic balance Cyclones and anti—cyclones, troughs and ridges 3. The balance equations in pressure coordinates [3.1] The temperature—thickness relation The vorticity—curvature relation 4. The thermal windshear [3.4] III. The Laws of Fluid Mechanics A. The governing equations 1. From kinematics to dynamics: the material derivative [2.1] 2. Conservation of mass and related scalars [2.5] 3. The momentum equation in rotating coordinates [1.4,1.5,2.1.1,2.2] 4. The thermal energy equation [2.6,2.7.1] 5. The vorticity equation [4.4] B. Scales of motion revisited 1. Formal scaling arguments: the Rossby number redux 2. Turbulent eddies, waves and large—scale balance flows 3. Geostrophic degeneracy and what comes next ADA Policy Statement The Americans with Disabilities Act (ADA) is a federal antidiscrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for a reasonable accommodation of their disabilities. If you believe you have a disability requiring accommodation, please contact the Department of Student Life, Services for Students with Disabilities, in Room 126 of the Koldus Building, or call 845—1637. Copyright and Plagiarism Policy All materials used in this class are copyrighted. These materials include but are not limited to syllabi, quizzes, exams, lab problems, iii—class materials, review sheets, and additional problem sets. Because these materials are copyrighted, you do not have the right to copy them unless permission is expressly granted. As commonly defined, plagiarism consists of passing oil as one’s own the ideas, words, writings, etc., which belong to another. In accordance with this definition, you are committing plagiarism if you copy the work of another person and turn it in as your own, even if you should have the permission of that person. Plagiarism is one of the worst academic sins, for the plagiarist destroys the trust among colleagues without which research cannot be safely communicated. i E . i g i 5 i i . i | | ! If you have any questions regarding plagiarism, please consult the latest issue of the Texas A&M University Student Rules, http://student-rules.tamu.edu/, under the section titled ‘Scholastic Dishonesty’. Honor Code Statement Aggies do not lie, cheat, or steal, nor do they tolerate those who do. Instances of scholastic dishonesty will be treated in accordance with Section 20 of the TAMU Student Rules. Please inform yourself on the student rules regarding cheating, plagiarism, fabrication of information, and conspiracy at the website http://www.tamu.edu/aggiehonor/. i j i i . i a i ...
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