# Large Scale Turbulence in the Atmosphere and Ocean 2014

### 10.03.2014 - 11.04.2014

**Lecturer:** Joe LaCasce

**Where:** Department of Geosciences, University of
Oslo

**Timeline:**

Week 11 - Lectures Monday to Friday 10:15 - 13:00

Week 15 - Lectures Monday to Thursday 10:15 - 13:00

**Course description:** 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.

**Outcomes:** The students 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.

**Structure:** 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.

**Outline: **

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 form is found below. Registration deadline
is February 25th.**