The course will start with an introduction to the Navier-Stokes equations, i.e. the mathematical model for incompressible flow, and with the numerical solution of the incompressible Navier-Stokes equation, including the direct numerical simulation of turbulent flow using finite and compact differences and spectral methods. Finite elements for fluid flow and free surface flow will be treated next, followed by combustion modeling. Basic thermodynamic principles as well as the validation of the numerically obtained results will be discussed. In the last part of the course, finite volumes methods for compressible flow will be considered. The course is designed to give a comprehensive overview on state-of-the art numerical techniques not only for laminar and turbulent flow, but also for two surface flow and combustion. In addition to numerical methods, also their application and validation will be considered.
This course will not be offered in the academic year 2016/17I