MEK9330 – Turbulence theory and modeling
Course description
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.
Admission
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.
Prerequisites
Recommended previous knowledge
MEK3220 – Continuum Mechanics (discontinued)/MEK4220 – Continuum Mechanics (discontinued), MEK3230 – Fluid Mechanics, MEK4300 – Viscous Flow and Turbulence og INF-MAT3360 – Partial differential equations (discontinued).
Overlapping courses
- 10 credits overlap with MEK4330 – Turbulence theory and modeling (discontinued)
- 3 credits overlap with MEK4340 – Turbulent Flows in Engineering
- 3 credits overlap with MEK9340 – Turbulent Flows in Engineering
*The information about overlaps for discontinued courses may not be complete. If you have questions, please contact the Department.
Teaching
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.
Examination
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.
Evaluation
The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.