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Natural Sciences > Earth, Atmospheric, and Planetary Sciences > Atmospheric and Oceanic Modeling
 Atmospheric and Oceanic Modeling  posted by  duggu   on 2/2/2008  Add Courseware to favorites Add To Favorites  
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Abstract/Syllabus:
MITgcm logo.
MITgcm logo. (Image courtesy of Dr. Alistair Adcroft.)

Course Highlights

This course includes lecture notes and homework assignments with solutions.

Course Description

The numerical methods, formulation and parameterizations used in models of the circulation of the atmosphere and ocean will be described in detail. Widely used numerical methods will be the focus but we will also review emerging concepts and new methods. The numerics underlying a hierarchy of models will be discussed, ranging from simple GFD models to the high-end GCMs. In the context of ocean GCMs, we will describe parameterization of geostrophic eddies, mixing and the surface and bottom boundary layers. In the atmosphere, we will review parameterizations of convection and large scale condensation, the planetary boundary layer and radiative transfer.

Technical Requirements

MATLAB® software is required to run the .m files found on this course site.

Syllabus

 
 
The numerical methods, formulation and parameterizations used in models of the circulation of the atmosphere and ocean will be described in detail. Widely used numerical methods will be the focus but we will also review emerging concepts and new methods. The numerics underlying a hierarchy of models will be discussed, ranging from simple GFD models to the high-end GCMs. In the context of ocean GCMs, we will describe parameterization of geostrophic eddies, mixing and the surface and bottom boundary layers.

The course will be graded for credit, based on problem sets and a project. These will entail hands-on use of the material covered in lectures.

Topics
  • The finite difference method
  • Spatial discretization and numerical dispersion
  • Series expansion methods
  • Time-stepping methods
  • Space-time discretization
  • Discretization in more than one dimension
  • Shallow water dynamics and numerical dispersion
  • Barotropic models
  • Quasi-geostrophic equations
  • Quasi-geostrophic models
  • Eddy parameterization
  • The primitive equations
  • Vertical coordinates
  • Boundary layer parameterizations
  • Parameterizing geostrophic eddies
  • Overview and summary of GCM issues

Exams and grading: There will be no exams. Grading will be apportioned 50% problem sets and 50% project.

Calendar

 
 
LEC # TOPICS KEY DATES
 1 The Finite Difference Method  
 2 Spatial Discretization and Numerical Dispersion  
 3 Series Expansion Methods Problem set 1 out
 4 Series Expansion Methods (cont.)  
 5 Time-stepping Problem set 1 due
 6 Time-stepping (cont.)  
 7 Time-stepping (cont.)

MATLAB® Script for P-N-Z Model		  
 8 Space-time  
 9 Space-time (cont.)  
 10 Two-dimensions  
 11 Shallow Water Dynamics and Numerical Dispersion  
 12 Barotropic Models  
 13 Barotropic Models (cont.)  
 14 Quasi-geostrophic Equations  
 15 Quasi-geostrophic Models  
 16 Quasi-geostrophic Models (cont.)  
 17 Eddy Parameterization  
 18 The Primitive Equations  
 19 The Primitive Equations (cont.)  
 20 Introduction to Turbulence, Reynolds Averaging, and Turbulence and Energy Problem set 2 out
 21 [Attend 12.820 for the lecture of] Boundary Layer Turbulence and Parameterizations  
 22 Primitive Equations (cont.)  
 23 Vertical Coordinates Problem set 2 due
 24 dfParameterizing Geostrophic Eddies  
 25 Project Presentations  
 26 Overview and Summary of GCM Issues  



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