APPLIED COMPUTATIONAL FLUID MECHANICS (CFD), BASIC COURSE | MVK150 |

**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**

Anderson, J D: Computational Fluid Dynamics. McGraw-Hill 1995.