The course deals with a list of advanced topics in computational fluid dynamics. In the first part, the governing equations governing fluid dynamics problems are reviewed and derived. Both compressible and incompressible flows are considered. The basics of the finite volume methods for the numerical discretization of fluid dynamics problems are reviewed and discussed starting from the basic example of an advection-diffusion equation. Particular emphasis is given to the treatment of non-orthogonality, convection-dominated flows, time discretization, and order of accuracy. Numerical schemes for the treatment of velocity pressure coupling for the incompressible Navier-Stokes equation such as the SIMPLE and the PISO algorithms are reviewed and a discussion on chequerboard effects on collocated grids is provided. The last part of the course focuses on advanced topics related to turbulent and compressible flows. The various alternatives (RANS, LES) for turbulence modeling are introduced and discussed in detail. Finally, an introduction to numerical methods for compressible flows is provided.

## Advanced Topics in CFD

Lecturer:

Course Type:

PhD Course

Academic Year:

2021-2022

Period:

June

Duration:

20 h

Description:

Research Group:

Location:

A-133

Location:

Lectures will take place in room A-133 except for the 20/06 and the 22/06 in room A-136