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The numerical methods, formulation and parameterizations used in models of the circulation of the atmosphere and ocean will be described in detail.
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Description
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.
Course content
- The Finite Difference Method Unlimited
- Spatial Discretization and Numerical Dispersion Unlimited
- Series Expansion Methods Unlimited
- Time-stepping Unlimited
- Space-time Unlimited
- Two-dimensions Unlimited
- Shallow Water Dynamics and Numerical Dispersion Unlimited
- Barotropic Models Unlimited
- Quasi-geostrophic Equations Unlimited
- Quasi-geostrophic Models Unlimited
- The Primitive Equations Unlimited
- Vertical Coordinates Unlimited
- Parameterizing Geostrophic Eddies Unlimited
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Instructor
Massachusetts Institute of Technology
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