Large scale turbulence in the Atmosphere and Ocean 2013
11.03.2013 - 19.04.2013
Week one: Lectures Monday-Friday, 10:15-13:00
(Week 11, 11-15/3)
Week two: Lecture Monday-Thursday, 10:15-13:00
(Week 16, 15-18/4)
Final presentation: 19/4
Registration deadline: February
Department of Geosciences
University of Oslo
Fon non-UiO ResClim-candidates travel expences will be covered. Please notify us about need for refund of travel expences in the registration form.
The course examines nonlinear motion in the atmosphere and ocean
from the perspective of turbulence theory. We begin with a
simplified system to illustrate how linear motion becomes chaotic
with nonlinearity. Then we examine Kolmogorov's theory of 3-D
turbulence, and its extension to two dimensions. We consider the
implications for weather predictability and discuss how geophysical
effects (the earth's rotation, stratification) alter the flows.
Then we consider the dispersion of passive tracers, like volcanic
ash and spilled oil, in turbulent flows.
The student will learn basic elements in statistics and chaos theory. The student will also learn
how nonlinear processes fundamentally affect the dynamics of atmospheric and oceanic flows, in
particular by making them unpredictable, requiring statistical descriptions. Nonlinear processes
are central to many observed phenomena, such as storm interactions and the transport of
heat, pollutants and biological material.
The course will be held over two weeks, with five lectures the first week and four during the second. Problems will be given out underway, to help the students understand the material. The students will make a final presentation of one or several papers on a topic of interest to them (which is also relevant to the course). There is no exam. The course has its own compendium; supplemental reading will be suggested.
Lecture 1: Statistics in a nutshell; Fourier transforms
Lecture 2: Chaos in a simplified system
Lecture 3: Energy conservation, triad interactions
Lecture 4: Kolmogorov's theory for 3-D turbulence
Lecture 5: 2-D turbulence
Lecture 6: Predictability and passive tracers
Lecture 7: The Beta effect and topography
Lecture 8: Stratified turbulence
Lecture 9: Turbulent dispersion
Registration deadline: February 25, 2013Login to join Share on Facebook...