ATM S 582 A Sp 21: Advanced Numerical Modeling Of Geophysical Flows

ATM S 582 A Sp 21: Advanced Numerical Modeling Of Geophysical Flows

ATM S 582

Professor Dale Durran
502 ATG Building
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Our goal:  Let's try to see the forest and the trees.

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, particulary weather and climate.  The class builds on material covered in ATMS 581/AMATH 586, although some familiarity with numerical methods for the solution of partial differential equations is generally adequate preparation.

We will look closely at behavior of some representative numerical methods in the simplest possible contexts. At the same time, we will strive to develop an overview of the pros and cons of these methods for the simulation atmospheric flows.

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'.

Lecture Format: Live remote via Zoom MW 9:00-10:20.  Lectures will be available as Zoom recordings.

Office Hours: Tues 1:00-2:00 and by appointment (don't hesitate to ask!)

Grading:  The grade will be based on a short project and short bi-weekly 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 homeworks. The project will ideally be something related to your research.

 

Course Outline

Differential-Difference Equations for the Scalar Transport

Further Considerations in Finite Difference Approximations

Finte-Volume Methods

Spectral and Pseudo-Spectral Models

The Cube Sphere

The Discontinuous Galerkin and Spectral Element Methods

Semi-Lagrangian Methods -- or maybe Boundary Conditions depending on student preferences.  The following is for semi-Lagrangian methods.

Course Summary:

Date Details Due