Turbulens - teori och modellering

**Valid from:** Autumn 2019**Decided by:** Anders Gustafsson / FUN**Date of establishment:** 2019-10-26

**Division:** Energy Sciences**Course type:** Course given jointly for second and third cycle**The course is also given at second-cycle level with course code:** MVKN90**Teaching language:** English

The aim of this course is to provide basic theoretical knowledge on turbulence as well as the design of turbulence models and their applicability. Furthermore, the intention is to provide skills in the analysis of turbulent flows. This knowledge should be sufficient to understand the background of turbulence models and the ability to chose an appropriate turbulence model for a given flow case.

*Knowledge and Understanding*

For a passing grade the doctoral student must

- be able to describe the physical mechanisms of the transition from laminar to turbulent flow for a simple flow case
- be able to explain Kolmogorovâ€™s theory, including the basic assumptions and the validity of the theory
- be able to, from a phenomenological perspective, assess if a flow is turbulent
- be able to explain the important and basic terms of the subject
- be able to describe the character of the turbulence in different flow situations with respect to the properties and development of the turbulence, and explain how the differences between these flow situations are reflected in the modelling

*Competences and Skills*

For a passing grade the doctoral student must

- be able to analyse a flow case and suggest a method for numerical simulation with respect to governing equations, possible simplifications and choice of turbulence model, and also to compare with alternative methods.
- be able to scrutinise and estimate the credibility of results from turbulent flow simulations

*Judgement and Approach*

For a passing grade the doctoral student must

- be able to actively participate in discussion of problems relevant for the subject
- be able to present, both orally and in writing, a technical report containing analyses and choice of turbulence model

The course contains the basic theory for turbulent flows, the transition from laminar to turbulent flows and the physical basis for different types of turbulence models. The turbulence theory part contains statistical and phenomenological description of turbulence Kolmogorovâ€™s hypotheses, and also wall bounded and free shear flows. Homogeneous and isotropic turbulence is discussed as well as anisotropy in different types of flow. The modelling part contains the most common types of turbulence models, i.e. the ones based on the Reynolds averaged equations and Large Eddy Simulation. The physical background and effects of different models are discussed. The mathematical description is also treated, averaging of the governing equations, and derivation of the extra equations needed.

Pope, S. B: Turbulent Flows. Cambridge University Press, 2003. ISBN 0521598869.

**Types of instruction:** Lectures, seminars, laboratory exercises, exercises, project

**Examination formats:** Oral exam, written report, written assignments, seminars given by participants.
The compulsory home works and laboratory exercises are reported in writing, individually. The project assignment is reported both in writing and orally at a seminar, where active participation at the other presentations is also required. Giving a seminar on a specific topic from the course is also required. To get a passing grade all compulsory parts, i.e. home works, laboratory exercises, seminar, project assignment and oral exam must be approved**Grading scale:** Failed, pass**Examiner:**

**Admission requirements:** Basic course in fluid mechanics**Assumed prior knowledge:** Mathematics equivalent to a master degree in mechanical engineering

Course coordinator: prof. Johan Revstedt, johan.revstedt@energy.lth.se, 046-2224302

**Course coordinator:** Johan Revstedt `<johan.revstedt@energy.lth.se>`**Web page:** http://www.fm.energy.lth.se/english/education/courses/turbulence-theory-and-modelling-mvkn90/