Spring 2011: ATMS 582
Advanced Numerical Modeling of Geophysical Flows
MWF 1:30-2:20, Room ATG 310
Instructor:
Professor Dale Durran
drdee@uw.edu
Office hours: Tuesday 2:30-3:30 and by appointment.
Textbook: Durran, D.R., 2010: Numerical Methods for Fluid Dynamics: With Applications in Geophysics. 2nd Ed. Springer-Verlag.
The book is available by chapters for free as pdfs via a subscription through the UW library. That subscription also entitles students to buy $25 paperback copies. To access these priviliges, connect here via a UW computer, and click 'Read Online'.
Overview:
The purpose of the course is to obtain a deeper understanding of the
basic numerical techniques that form the foundation for the computer
models commonly used to simulate geophysical flows. This course is
taught somewhat less than every-other year and builds on material covered in ATMS
581/AMATH 586.
Homework
Problem Set 1 (due Wed. April 13th)
Problem Set 2: Do problem #'s 6,7 & 10 on pp. 278-279 (due Wed April 27th).
Problem Set 3: Do problem #'s 3 and 5 on pp. 350-351. (due Mon. May 16th). Please work independently on this assignment. (Note the answer to 5a should be written as an expression involving sums of the products of r_m and s_n.) Visual aid
Course Outline
Review: Differential-Difference Equations for the Scalar Wave Equation
Further Considerations in Finite Difference Approximations
Finte-Volume Methods
Spectral Models on
the Sphere
Approximating Open (Wave-Permeable) Boundaries
Strategies for Nonhydrostatic Modelling
Grading: The grade will be based on a short project and three homework assignments, one of which will be identified as a take-home midterm that must be done independently. You may work with other students on the other two homeworks. The project will ideally be something related to your research.