Lecture: July 19, Monday, 10-12;
Exercises within and after the lecture
Description
This course is part of the introductory course on “mathematical modeling for climate and environment” at the University of Bayreuth, held and organized by Prof. Dr. Vadym Aizinger. The course introduces the main physical concepts and mathematical descriptions underlying modern climate and environmental models. The fundamental concepts of the climate system are explored. Exercises complement the lesson.
pdf will be available here
Learning outcome
Dynamics of the ocean and atmosphere:
Applications in the fields of climate dynamics and fluid mechanics,
Theoretical concepts in physics of climate
Temporal and spatial scales of climate dynamics
Energy balance and sea ice model:
key approximations
Effects of albedo
Earth System Models:
Examples of Resolution (global spectral model)
Ocean circulation models and boundary conditions
Coupling between model components
Carbon, Radiocarbon, Tracers in the Sea
Climate sensitivity, Paleoclimate dynamics
Vegetation & Ecosystem models, e.g. Daisyworld Model
Literature:
Holton, J.R., Introduction to Dynamical Meteorology, Academic Press
Gill, A., Atmosphere-Ocean Dynamics, Academic Press
Dutton, J.A., The Ceaseless Wind, Dover
Olbers, D.J., Ocean Dynamics, Springer
Cushman-Roisin, B., ENVIRONMENTAL FLUID MECHANICS
Cushman-Roisin, B. & Beckers, J.-M., Introduction to Geophysical Fluid Dynamics: Physical and Numerical Aspects
Marchal, J., Plumb, R. A., 2008. Atmosphere, Ocean and Climate Dynamics: An Introductory Text. Academic Press, 344 pp; videos pdf
Stewart, R. H., 2008: Introduction To Physical Oceanography, online Version: http://oceanworld.tamu.edu/home/course_book.htm
Stocker, T. F., 2011. Introduction to Climate Modelling. Springer. SBN 978-3-642-00773-6
Saltzman, B., Dynamical Paleoclimatology - A generalized theory of global climate change, Academic Press, San Diego, 2002, 354 pp.
Goose, H., Climate system dynamics and modelling, Cambridge University Press, Cambridge, 2015, 358 pp.
Pruscha, H., 2013: Statistical Analysis of Climate Series Analyzing, Plotting, Modeling, and Predicting with R, VIII, 176 p. (link)
Kämpf, J., 2009: Ocean Modelling for Beginners Using Open-Source Software. Springer. (link)
Kaper, H.G., Engler, H., 2013: Mathematics and Climate. SIAM. Includes bibliographical references and index. ISBN 978-1-611972-60-3
Hantel, M., 2013: Einführung Theoretische Meteorologie. ISBN 978-3-8274-3055-7 DOI 10.1007/978-3-8274-3056-4 Springer, Heidelberg.
Lohmann, G., 2020: Climate Dynamics: Concepts, Scaling and Multiple Equilibria. Lecture Notes 2020, Bremen, Germany. (pdf of the script)
Gershenfeld, N. The nature of mathematical modeling, Cambridge University Press, Cambridge, 2003, 344 pp.
Chirila, D., and G. Lohmann, 2015: Introduction to Modern Fortran for Earth System Sciences. 2015, XXII, 250 pages. 15 illus., 10 illus. in color. ISBN: 978-3-642-37008-3; Springer, Berlin Heidelberg. link, link to source code, link to source
Press, W. H., S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, “Numerical Recipes: The Art of Scientific Computing, 3rd Edition” Cambridge University Press, 2007, 1235 pp. http://www.nr.com/
R Core Team (2013). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. An Introduction to R
Paul Torfs, P., and & Claudia Brauer, C., 2014: A (very) short introduction to R