Syllabus 2008/2009 MVK150

Syllabus academic year 2008/2009
(Created 2008-07-17.)

APPLIED COMPUTATIONAL FLUID MECHANICS (CFD), BASIC COURSE

MVK150

Higher education credits: 6. Grading scale: TH. Level: A (Second level). Language of instruction: The course will be given in English on demand. Optional for: F4, F4fs, F4tvb, M4, M4fs, Pi4. Course coordinator: Docent Johan Revstedt, Johan.Revstedt@vok.lth.se, Energivetenskaper. Prerequisites: MMV021/MMV211 Fluid Mechanics. Recommended prerequisits: FMN081 Numerical Analysis in Mechanics. Assessment: Examination is individual as well as based on group work. The compulsory home works and laboratory exercises are reported in writing, group-wise. No report is required from the computer exercises, however attendance is compulsory. The project assignment is reported both in writing and orally at a seminar, where all group members shall participate actively. The course ends with an individual written exam. To pass it is required that all compulsory parts, i.e. home works, project assignment and written exam are approved. The grade is based on the written exam. Further information: The course is based on lectures, exercises, computer exercises and group work in the form of home work and a smaller project assignment. Home page: http://www.vok.lth.se.

Aim
The aim of this course is to provide basic knowledge on modern computational methods which are commonly used for laminar and turbulent flows. Furthermore, the intention is to provide skills in the analysis and evaluation of results from numerical flow simulations. This knowledge should be sufficient to be able to chose an appropriate solution strategy and estimate the accuracy of the results for a given flow case.

Knowledge and understanding
For a passing grade the student must

be able to discuss the potential and limitations of computational fluid dynamics
be able to describe different methods for numerical solution of flow problems and their applicability for different types of flow
be able to describe the process from a mathematical description to numerical solution of a fluid mechanical problem, and under which conditions the system is soluble.
be able to describe the sources of errors in the process from mathematical description to numerical solution of a fluid mechanical problem and how these errors affect the solution
be able to explain some of the important and basic terms of the subject

Skills and abilities
For a passing grade the student must

be able to analyse a flow case and suggest a strategy for the solution of it with respect to governing equations, possible simplifications and choice of appropriate numerical method, and also to compare with alternative methods.
be able to scrutinise and from given criteria estimate the credibility of results from numerical flow simulations

Judgement and approach
For a passing grade the 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 numerical solution method

Contents
The course contains methods for numerical solution of fluid mechanical problems, both compressible and incompressible. The system of governing equations can be predominantly hyperbolic, parabolic or elliptic depending on the character of the flow. The most common numerical solution methods for these types of systems of partial differential equations are treated. The course also discusses different typrs of discretisation (finite differences and finite volumes) and how these affect the accuracy and stability of the solution. Different types of computational grids and how these affect the accuracy are also treated. Furthermore, methods for increasing computational efficiency (multi-grid methods) are also discussed.

Literature
Tu, J.; Yeoh, G.; Liu, C. Computational Fluid Dynamics. A Practical Approach. Elsevier 2007. ISBN-13: 9780750685634