
Detailed information 
Original study plan 
Bachelor's programme Mechanical Engineering 2022W 
Objectives 
After successfully engaging with the topics of this course, the students will be able to
 identify different error sources appearing in numerical models,
 numerically solve simple fluid mechanical problems,
 solve systems of linear and nonlinear equations,
 apply the finite difference method to different problems (e.g., convection/diffusion equations, integration of particle trajectories),
 perform simple CFD (computational fluid dynamics) simulations using OpenFOAM and
 understand the physical basics of the conservation equations of fluid dynamics.
The level of mathematical modeling and analysis of the mentioned topics is comparable to the level of the textbooks: Moukalled, Mangani, Darwis; The Finite Volume Method in Computational Fluid Dynamics, 2016 und
Versteeg, Malalasekera; An Introduction to Computational Fluid Dynamics, 2007.

Subject 
 Introduction to conservation equations of fluid mechanics
 Introduction to convection and diffusion equation
 Solution of 1Dequations using the finite difference method
 Solution of 1Dequations using the finite volume method
 Numerical solution of systems of linear and nonlinear equations
 Solution of a 2D flow problem using OpenFOAM

Criteria for evaluation 
Homework examples and final presentation of a project

Methods 
lecture, lecture notes, guided examples, homework examples

Language 
German 
Study material 
 Moukalled, F., Mangani, L., Darwish, M.: The Finite Volume Method in Computational Fluid Dynamics. Springer, 2016.
 Versteeg H.K., Malalasekera W.: An Introduction to Computational Fluid Dynamics. Pearson, Second Edition, 2007
 Hirsch C., Numerical Computation of Internal and External Flows, Volume 1, ButterworthHeinemann, Second Edition, 2007
 Tannehill J.C., Anderson D.A., Pletcher R.H.: Computational Fluid Mechanics and Heat Transfer. Taylor & Francis, Second Edition, 1997

Changing subject? 
No 
