Numerisk strömningsmekanik och värmeöverföring

**Valid from:** Spring 2020**Decided by:** Anders Gustafsson / FUN (2)**Date of establishment:** 2020-02-16

**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:** MMVN05**Teaching language:** English

The aim of the course is to provide basic knowledge about numerical methods that are rutinely used for simulating fluid flow and heat transfer. The main emphasis is on incompressible flow and convective heat transfer. Furthermore, knowledge on the most common turbulence models and how these affect the solution is provided. The course is aimed at providing capability to perform this kind of simulations. Also, to provide capability in analysing and assessing the results of such simulations. This knowledge should be sufficient in order to chose a proper solution methos and asses the accuracy of the results for a given engineering problem.

*Knowledge and Understanding*

For a passing grade the doctoral student must

- be able to account for potentials and limitations of the methods covered in the course.
- be able to account for the most common RANS based turbulence models and how these may affect the numerical solution of fluid flow
- be able to account for the process from mathematical description to numerical solution of fluid flow and heat transfer problems, and for the demands on the system for it to be soluble.
- be able to describe the sources of errors in the process from mathematical description to numerical solution of fluid flow and heat transfer problems, and how these affect the results
- be able to account for methods for treating convection-diffusion terms, and algorithms for pressure-velocity coupling (e.g. SIMPLE, SIMPLEC, SIMPLEX, PISO etc)
- be able to explain some, for the subject, important concepts

*Competences and Skills*

For a passing grade the doctoral student must

- be able to perform simulations in some commercial CFD software
- be able to analyse fluid flow or heat transfer case and suggest a solution strategy of it concerning equations, possible simplifications, choice of numerical method and turbulence model and to compare to alternative methods and models
- be able to critically review and asses the accuracy and plausibility of results of fluid flow simulations

*Judgement and Approach*

For a passing grade the doctoral student must

- be able to take active part in discussions on for the suject relevant problems
- be able to present, orally and in writing, a technical report containing analyses and choice of numerical solution metod and turbulence model

The course includes methods for the numerical solution of engeering fluid dynamics and heat transfer problems. Handling of convection-diffusion problems is treated. The concept of numerical diffusion is introduced. Algorithms for pressure-velocity coupling are presented (e.g. SIMPLE, SIMPLEC, SIMPLEX, PISO etc). In the course discretisation using finite volume techniques and how these affect accuracy and stability is discussed. Several types of computational meshes and how these are generated and how these affect the solution are discussed. Aslo included are the most common RANS based turbulence models.

Versteeg, H. & Malalasekera, W.: An Introduction to Computational Fluid Dynamics-The Finite Volume Method, 2nd ed. Pearson Education Limited, 2007. ISBN 9780131274983.

**Types of instruction:** Lectures, laboratory exercises, exercises, project.
The laboratory exercises are computer based and can be done either on your own or on the scheduled times.
The project work is done individually.

**Examination formats:** Written exam, written report, written assignments, seminars given by participants.
Written exam here means a 2 hour test on the theory covered in the course**Grading scale:** Failed, pass**Examiner:** Senior lecturer Hesameddin Fatehi

**Assumed prior knowledge:** Basic course in fluid mechanics

**Start date:** 2025-01-20**End date:** 2025-03-23**Course pace:** Full time

**Course coordinator:** Hesameddin Fatehi `<hesameddin.fatehi@energy.lth.se>`**Web page:** http://www.fm.energy.lth.se/english/education/courses/numerical-fluid-dynamics-and-heat-transfer-mmvn05