MEK9330 – Turbulence theory and modeling

Schedule, syllabus and examination date

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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.


PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

Overlapping courses

*The information about overlaps for discontinued courses may not be complete. If you have questions, please 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.

PhD candidates must deliver one extra obligatory exercise, which must be at an advanced level within the curriculum of the course, or be a theoretical extension of the curriculum of the course, and should preferably relate the contents of the course to newer research literature. You may be required to give an oral presentation and/or deliver a written report. The exercise must be passed to be allowed to take the final exam.

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 pass/fail scale. 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






Taught according to demand and resources. Contact if you are interested in this course.


The same semester as taught.

Teaching language


The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.