"Several sciences are often necessary to form the groundwork of a single art" - Mills, 1843
"Science is knowledge which we understand so well that we can teach it to a computer; and if we don't fully understand something it is an art to deal with it" - Knuth, 1974
In the spirit of Mills and Knuth, this class will develop an approach to modeling complex systems, such as those of climate, based on the rigorous understanding of the underlying processes we understand and on exploiting our insight and creativity for those we do not. We will explore and use various numerical methods, develop computing skills, and deal with data handing as a means to and end of quantifying climate system behavior. Beyond the theory and motivation for modeling, this class aims to develop core practical skills in Fortran programming, methods for visualization of model output and data, and basic UNIX computing, as is needed for working with most state-of-the-art weather and climate research models. We will meet once per week to undertake a series of studies of problems needing modeled solutions, including: energy balance, radiative-convective equilibrium, baroclinic instability, land-atmosphere interactions, Rossby waves, weather prediction and the general circulation of the atmosphere.
2013, Tuesday, 2-4:45 pm
HUM 1B35 (mostly likely Thursday PM)
Web Page: http://atoc.colorado.edu/~dcn/ATOC7500
Instructor: David Noone, Ekeley S236, 303-735-6073 (email@example.com)
Office hours: By appointment.
(mostly likely Thursday PM)
Download a copy of the syllabus.
Approximate lecture outline.
Download: A mini guide to programming and other tricks on atoc. (Will be updated occasionally)
Upload: To upload you assignments to "dogfish":
(login: ftp password: your email address)
(where XX is the week number)
|I||1||15 Jan||Introduction to modeling||EX01||EX01.doc||M&HS1-2, Held (2005)|
|III||3||29 Jan||Dynamical models||EX03||EX03.doc||Flick through Holton 4, 6, 10 on the physics. Lorenz (1963);Lorenz Attractor from wikipedia andWolfram. Also see the original derivation by Saltzman (1962)|
|IV||4||05 Feb||Advection||EX04||EX04.doc||Holton 13.3, Durran 2, Kalnay 3, Rood (1987)|
|V||5||12 Feb||Spectral methods||EX05||EX05.doc||Durran 2, Kalnay 3|
|VII||7||26 Feb||Geostrophic relationships||EX07||EX07.doc||WP4, Durran 3 (Review Holton 7.7), Charney, Fjortoft and von Neumann (1950)|
|VIII||8||05 Mar||Weather prediction||EX08||Assignment|
|X||10||19 Mar||Tracer transport, spectral method||EX10||MIDTERM DUE||Holton 13.5, WP 4.4 (good overview), Durran 4.4, KBK5 (detailed)|
|XI||26 Mar||Spring Break - no class||FINAL project assignment|
|XII||11||02 Apr||Quasi-geostopheric general circulation||EX11||EX11.doc||(proposals emailed 4 April)|
|XIII||12||09 Apr||Proposal presentations, Data assimilation|
|XIV||13||16 Apr||Project work|
|XV||14||23 Apr||PCA||EX14||EX14.doc||(Guest lecture)|
|XVI||15||2 May||Project presentations||Final project DUE|
|XVII||07 May||Exam Week - final project due|
Charney, J. G., R. Fjortoft and J. von Neumann, Numerical integration of the barotropic vorticity equation. Tellus, 2, 237-254, 1950.
Held, I., The gap between simulation and understanding in climate modeling. Bull. Am. Met. Soc., 85, 1609-1614, 2005.
Kiehl, J. T., and K. E. Trenberth, Earth's annual mean global energy budget. Bull. Am. Met. Soc., 78,197-208, 1997.
Lorenz, E., Deterministic non-periodic flow. J. Atmos. Sci., 20, 130-141, 1963.
Marshall, J., and F. Molteni, Toward a Dynamical understanding of planetary-scale flow regimes, J. Atmos. Sci., 50, 1792-1818, 1993
Marshall, J., and D. So, Thermal equilibration of planetary waves, J. Atmos. Sci., 47, 963-978, 1990
Phillips, N., The general circulation of the atmosphere: A numerical experiment. Quart. J. Roy. Met. Soc., 82, 123-164, 1956.
Rood, R. B., Numerical advection algorithms and their role in atmospheric transport and chemistry models. Rev. Geophys, 25, 71-100, 1987.
Saltzman, B., Finite Amplitude Free Convection as an Initial Value Problem—I, J. Atmos. Sci., 19, 329-341.
Durran, D., Numerical Methods for Wave Equations in Geophysical Fluid Dynamics, Springer, 1999.
Hartmann, D., Global Physical Climatology, Elsevier Academic Press, 1994
Holton, J., Introduction to Dynamic Meteorology, Elsevier Academic Press, 2004.
Jacobson, D., Fundamentals of atmospheric modeling, Cambridge, 1998.
Kalnay, E., Atmospheric modeling, data assimilation and predictability, Cambridge, 2003.
Krishnamurti, T. N., H. S. Bedi and V. M. Hardiker, An introduction to global spectral modeling, Oxford, 1998.
McKuffie, K., and A. Henderson-Sellers, A climate modeling primer, 2nd ed., John Wiley and Sons, 2005.
Randall, D., General Circulation Model development, Academic press, 2000.
Robinson, W., Modeling dynamic climate systems, Springer, 2001
Salzmann, B., Dynamic paleoclimatology, Elsevier Academic Press, 2004
Trefethen, L. N., Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations, unpublished text, 1996
Trenberth, K., Climate System Modeling, Cambridge, 1992.
Washington, W., and C. Parking, An introduction of three-dimensional climate modeling, 2nd ed., University Science Books, 2004.