Two-dimensional turbulence and Earth’s climate - NFPL221
Title: Dvourozměrná turbulence a zemské klima
Guaranteed by: Department of Low Temperature Physics (32-KFNT)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: summer
E-Credits: 6
Hours per week, examination: summer s.:2/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: Mgr. Emil Varga, Ph.D.
doc. Dr. Marco La Mantia, Ph.D.
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Annotation -
In complex nonlinear systems continuous change of a parameter can lead to sudden and qualitative change of the system behavior through so-called bifurcations. Even a relatively small change in, for example, the mean temperature of the oceans can lead to drastic changes of the climate and associated global flows, which, on the largest scale, are approximately two-dimensional.
Last update: Chlan Vojtěch, doc. RNDr., Ph.D. (30.04.2024)
Aim of the course -

During the course, students will learn the current theoretical understanding of two-dimensional and quasi-two-dimensional turbulence, bifurcations in transitional flows and their applications to selected geophysical flows. The material taught in this course will help students understand certain aspects of climate change more deeply, including the proofs and consequences of its existence.

Last update: Chlan Vojtěch, doc. RNDr., Ph.D. (06.02.2024)
Course completion requirements -

To complete the course, a credit and exam are required. The course credit will be awarded for active participation in the course tutorials and for preparing a report based on measured data obtained during lab component of the course.

Last update: Chlan Vojtěch, doc. RNDr., Ph.D. (06.02.2024)
Literature -

G. Boffetta, R. E. Ecke, Two-Dimensional Turbulence, Annual Review of Fluid Mechanics 44, 427-451 (2012)

P. A. Davidson, Turbulence: An Introduction for Scientists and Engineers, Oxford University Press 2015

M. Lesieur, Turbulence in Fluids, Springer 2008

U. Frisch, Turbulence: The legacy of A. N. Kolmogorov, Cambridge University Press 1995

Last update: Chlan Vojtěch, doc. RNDr., Ph.D. (06.02.2024)
Requirements to the exam -

Requirements to complete the exam correspond to the syllabus to the extent presented throughout the lectures

Last update: Chlan Vojtěch, doc. RNDr., Ph.D. (06.02.2024)
Syllabus -

Brief review of three-dimensional turbulence; Kolmogorov theory; Richardson cascade

Basic consequences of two-dimensionality; inverse cascade

Self-similarity and its violation; coherent structures

Transition to turbulence; dynamical systems modeling; bifurcations and chaos

Continuous and discrete vorticity; Onsager vortex gas

Quasi-2D systems; applications to selected geophysical flows; bifurcations and climate change

Experimental methods of flow visualization; Particle Image Velocimetry

Last update: Chlan Vojtěch, doc. RNDr., Ph.D. (06.02.2024)