AM 227 SYLLABUS, Winter 2020
General Information
Class and Exams Schedule
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General Information
Tentative schedule (this will be updated as the course proceeds)
Class and Exams Schedule
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General Information
- Textbook: Unfortunately, there isn't a single textbook that covers all the material for this course at the level required. The instructor will provide you with a set of notes that will hopefully serve a similar purpose. There are, however, a number of excellent books on Waves or Instabilities, that are strongly recommended as further reading. These can be found in any good university library (and most of them are in my office, at the moment):
- Supplemental material:
- Waves in the Ocean and Atmosphere: Introduction to wave dynamics, by J. Pedlosky
- Introduction to hydrodynamic stability, by P. Drazin
- Fluid Dynamics by Michel Rieutord
- Fluid Mechanics by Kundu, Cohen and Dowling. This was the AMS217 textbook, a nice reference for an introduction to the subject.
- Applied Partial Differential Equations by R. Haberman. This was the AMS 212A textbook. Hopefully you're familiar with PDEs, however, otherwise you're in trouble.
- Linear and nonlinear waves, by G. Whitham. Probably the modern reference on the topic of waves, contains a lot more than we will cover, however.
- Hydrodynamic stability, by P. Drazin and W. Reid. The more comprehensive and more complete version of the "Intro" book listed above.
- Hydrodynamic and hydromagnetic stability, by S. Chandrasekhar. Any astrophysicist should have a copy of this. Most likely it contains that instability you thought you discovered. Consult before attempting to publish.
- Homework: Homework will be given every week. You are encouraged to do it in groups, though you should all hand in separate answers.
- Projects: Students will be required to present a class project in the very last week, applying some of the methods learned to their own research.
- Grading Policy:
- Homework: 70 % of total grade.
- Project: 30 % of total grade.
- Work Ethics
- Students in this class will be expected to work about 15 hours per week on the course material, i ncluding 3h15 in class with the instructor, 1 hour in section, 2 hour in office hours (with either the in structor or the TA) to ask questions as necessary, and finally, 9 hours per week of independent work on h omework and work to understand the material.
- Academic integrity is the cornerstone of a university education. Academic dishonesty diminishes t he university as an institution and all members of the university community. It tarnishes the value of a UCSC degree. All members of the UCSC community have an explicit responsibility to foster an environment o f trust, honesty, fairness, respect, and responsibility. All members of the university community are expe cted to present as their original work only that which is truly their own. Plagiarism of any kind is unac ceptable. All members of the community are expected to report observed instances of cheating, plagiarism, and other forms of academic dishonesty in order to ensure that the integrity of scholarship is valued an d preserved at UCSC. Any student found in violation of the UCSC Academic Integrity policy may face both a cademic sanctions imposed by the instructor of record and disciplinary sanctions imposed either by the pr ovost of their college or the Academic Tribunal convened to hear the case. Violations of the Academic Int egrity policy can result in dismissal from the university and a permanent notation on a student's transcr ipt. For the full policy and disciplinary procedures on academic dishonesty, students and instructors sho uld refer to the Academic Integrity page at the Division of Undergraduate Education.
Tentative schedule (this will be updated as the course proceeds)
- Week 1 (January):
- Jan 7: General introduction to the equations of fluid dynamics
- Jan 9: Sound waves (part 1)
- Week 2:
- Jan 14: Sound waves (part 2)
- Jan 16: Sound waves (part 3)
- Week 3:
- Jan 21: Sound waves (part 4)
- Jan 23: The Boussinesq approximation. Internal gravity waves
- Week 4:
- Jan 28: Internal gravity waves (part 1)
- Jan 30: Internal gravity waves (part 2)
- Week 5 (February):
- Feb 4: Internal gravity waves (part 3)
- Feb 6: Convection (Linear theory)
- Week 6:
- Feb 11: Convection (Weakly nonlinear theory)
- Feb 13: (continued)
- Week 7:
- Feb 18: Convection (Truncated Models)
- Feb 19: Convection (Energy stability)
- Week 8:
- Feb 25: Shear instabilities (part 1)
- Feb 27: Shear instabilities (part 2)
- Week 9:
- Mar 3: Kolmogorov theory for homogeneous isotropic turbulence
- Mar 5: (continued)
- Week 10:
- Mar 10: Reynolds-averaged Naviers-Stokes equations
- Mar 12: (continued)
- Final's week Project presentations will be on Wednesday March 18th, 8:00-11:00AM