The aim of the course is to provide basic knowledge about numerical methods that are routinely 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 analyzing and assessing the results of such simulations. This knowledge should be sufficient in order to choose a proper solution method and asses the accuracy of the results for a given engineering problem.
The course includes methods for the numerical solution of engineering 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. Also included are the most common RANS based turbulence models.