Cancelled Turbulence
Course content
The governing fluid flow equations, the Navier-Stokes Equations are introduced and analyzed with respect to scaling and symmetries. The role of conservation laws and energy budgets is examined. A probabilistic theory is developed and dimensional analysis and Kolmogorov’s 1941 theory is described. Introducing and using tensor analysis the cornerstone 4/5'th law for the correlations function is derived. Modern developments as multi-scaling models and models for intermittency are introduced. The students will perform numerical simulations using shell models.
MSc Programme in Physics
MSc Programme in Physics with a minor subject
Knowledge:
The students will have a good overview of the phenomenon of
turbulence, energy cascades, predictability and the Navier-Stokes
equation. They will understand the phenomenon of scale invariance
and how statistical relations are derived using scaling
techniques.
Skills:
The students will be able to do dimensional analysis of the
governing equation, derive the Reynolds number and the Kolmogorov
scale. They will be able to manipulate the statistical quantities,
such as correlation functions using basic tensor analysis, Fourier
transform and scaling transformations.
Competences:
The students will mature in understanding the physical implications
given by the Navier-Stokes equations, and acquire mathematical
routine to derive statistical relations from the governing
equations.
Lectures, exercises and numerical work.
See Ansalon for final course material. The following is an example of expected course littereature:
Turbulence and Shell Models, Peter Ditlevsen, Cambridge University Press
Mathematics courses completing the Physics Bachelor.
The Bachelor should be completed. However, exceptionally skillful
third year students can follow the course.
Academic qualifications equivalent to a BSc degree is
recommended.
The course is offered every second year.
- ECTS
- 7,5 ECTS
- Type of assessment
-
Oral examination, 30 minutes, including 5 minutes voting.
- Type of assessment details
- Oral examination without preparation. A subject is drawn at the beginning of the exam, and the student is expected to give a 15 min presentation of the subject followed by a 10 minutes session of questioning to the subject and the rest of the course material. The subjects will be announced ten days prior to the exam. The student’s report, presented as relevant graphs or similar in connection with the numerical work, will be shortly presented and discussed at the exam.
- Exam registration requirements
-
A report should be approved in order for the student to take the oral eam.
- Aid
- Only certain aids allowed
1 page of notes, prepared for each subject, can be used to support the presentation
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Several internal examiners (the course responsible and one more)
- Re-exam
-
Same as ordinary exam.
If the student did not fulfill the prerequisite for the exam, a new report should be handed in no later than two weeks before the re-exam.
Criteria for exam assessment
see learning outcome
Single subject courses (day)
- Category
- Hours
- Lectures
- 30
- Preparation
- 145,5
- Exercises
- 30
- Exam
- 0,5
- English
- 206,0
Kursusinformation
- Language
- English
- Course number
- NFYK14024U
- ECTS
- 7,5 ECTS
- Programme level
- Full Degree Master
- Duration
-
1 block
- Placement
- Block 2
The course is offered every second year
- Schedulegroup
-
A
- Capacity
- No limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
- Studyboard
- Study Board of Physics, Chemistry and Nanoscience
Contracting department
- The Niels Bohr Institute
Contracting faculty
- Faculty of Science
Course Coordinator
- Peter Ditlevsen (7-73676c776f68794371656c316e7831676e)
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Courseinformation of students