MATHEMATICAL MODELING OF THE OCEAN AND ATMOSPHERE
SM415
(3-0-3)
Course Coordinator (2013-2014): CAPT Schulz
1. Text: None required
2. Prerequisites: SO335, SO414
3. Objectives:
• Understand the practice of discretizing partial derivative terms in the equations of motion
• Understand the concepts of consistency and stability in a numerical model
• Gain insight into the complexity of mathematical descriptions of geophysical fluid phenomena
• Gain familiarity with model characteristics including grid schemes, order and parameterizations
4. Course Content:
• Partial Differential Equations Review
• Numerical Stability
• Advection Modeling
• Shallow Water Equations
• Long-wave modeling
• Operational Models
5. Acquired Knowledge:
Upon completion the student will be able to
• Implement boundary conditions in solutions to physical modeling problems
• Explain the derivation of the shallow water equations
• Compare and contrast the dispersion relations for Rossby and Kelvin waves
• Describe the primitive equations used in Air-Ocean modeling
• Demonstrate the concept of numerical stability, including the CFL criteria, and its application to
advection modeling
• Provide examples of parameterized sub-grid scale phenomena
• Construct numerical models of basin scale circulation using various forcing mechanisms
• Demonstrate familiarity of operational Air/Ocean predictive models
Updated: 25 July 2013
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