Schedule, syllabus and examination date

Choose semester

Course content

The course will contain the following subjects:

Introduction to Cartesian tensors
Isotropic and homogeneous turbulence
Turbulence structures
Reynolds equations
Parallel shear flows
Single-point modelling:
i) Scalar variable models:
- Eddy-viscosity models
- Explicit algebraic models
ii) Tensor variable models
- Pressure-strain modelling
iii) Near-wall modelling:
- Local models
- Elliptic relaxation

Learning outcome

The course gives an introduction to turbulent shear flows and a specialization within turbulence modelling. Fundamental aspects of turbulence and its coupling to single-point models are emphasized. The course gives an important basis for the use and development of Computational Fluid Dynamics (CFD) methods within research and within a broad spectrum of applications (e.g. meteorology, oceanography, process and energy and flow physics). The course is recommended for specialization in fluid mechanics at the master level.


Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Overlapping courses

* For information about the potential partial overlap with other courses, contact the Department.


4 hours of lectures per week through the whole semester.

Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.


Final oral examination.

Examination support material

No examination support material is allowed.

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Explanations and appeals

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.


The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course






Autumn 2012

Autumn 2011

Autumn 2010

Autumn 2009

Autumn 2008

Autumn. Taught according to demand and resources. If you want to attend the course, please send an e-mail to


Autumn 2012

Autumn 2011

Autumn 2010

Autumn 2009

Autumn 2008

According to demand and resources.

Teaching language


The course is given in English. If no students have asked for the course in English within the first lecture, it may be given in Norwegian.