# Large Scale Turbulence in Atmosphere and Ocean

### 08.02.2016 - 11.03.2016

**Lecturer:** Joe LaCasce

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

**Timeline:**

Week 6, 2016 - Lectures Monday to Friday 10:15 - 13:00

Week 10, 2016 - Lectures Monday to Thurdsay 10:15 - 13:00, Friday 10:15 - 15:00

**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 but
studens will give a presentation on the last day. 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

Day 10: Student presentations

Participant list

- Nora Loose, UiB
- Eli Anne Ersdal, UNIS
- Lander R. Crespo, UiB
- Kjersti B. Daae, UiB
- Erwin Lambert, UiB
- Omar Elguernaoui, UiB
- Sunil Kumar Pariyar, UiB
- Kjersti Opstad Strand, IMR
- Ylva Ericson, UNIS