Climate Modeling

Course outline:

The goal of this course is to provide the students basic knowledge on the techniques of climate modeling, and provide an overview of existing climate models and their capabilities.

Basic knowledge of programming language such as Fortran or Matlab is needed.


1. History of the climate system

Orbital forcing

Snowball earth

From Cretacous to the Late Pleistocene

The Holocene and the Anthropocene

Future climate Change (Movie from GFDL)


2. The components of the climate system

Atmosphere

Ocean

Land

Cryosphere

 Biosphere


3. Conceptual low-dimensional climate models

Numerical solution of a simple ODEs

Bifurcation and Chaos

Daisy world

Energy Balance models

The Lorenz '63,'84 model

The Stommel model

The ENSO recharge oscillator


4. Solving the equations of the climate system

Numerical solution of PDEs:

Galerkin projection

Advection, Diffusion equations

Wave equation; finite differencing; CFL criterion

Arakawa grids

Successive Overrelaxation, Poisson equation and Stommel-Munk model

Shallow water model

finite elements and spectral methods


5. Overview of Earth-System Modeling

Overview of Ocean models

Overview of Atmospheric models

Climate models and their assessments

Ecosystem and Biogeochemical models


Instructor: Prof. Axel Timmermann (IPRC, phone 8562720, axel@hawaii.edu)


Hours: Mondays: 2.30pm--4pm MSB 315 (Monday, September 19th has to be re-arranged)


Textbooks No required textbook, but two reference books:


McGuffie, K. and A. Henderson-Sellers

A climate modelling primer, 2nd ed. Chichester ; New York : Wiley, c1997.

Trenberth, K. E., ed., 1993:

Climate system modeling (ed.), Cambridge Univ. Press, New York, 817 pp.


Grading method:

General participation 25%

Homework 25%

Project 50%


Student Projects

Hasselmann's socio-economic climate model
Socio-economic-physical modeling using Gildors model
1.5 layer equatorial beta plane model
Stationary Gill-type model
Simple ice-sheet+simple ocean model
barotropic vorticity equation and jets
Diagnostics of 4th AR models: thermostats vs. runnaway-greenhouse effects
Patterns of sea-level rise and climate change for west-Antarctic ice sheet collapse
Exploration of JEBAR term in BARBIE
ENSO forecasting using nonlinear ENSO model
Paleo-ocean circulation with BARBIE
bifurcation analysis of hydrodynamical equations
geothermal processes and THC stability

Homeworks:

Homework I
Homework II
Homework III
Homework IV
Homework V

Lectures:
Lecture I
Lecture II
Lecture III:
Lecture IV:
Lecture V:
Lecture VI:
Lecture VII:
Lecture VIII
Lecture IX
Lecture X
Lecture XI
Lecture XII
Lecture XIII