Numerische Methoden in der Fluidmechanik (CFD)

What it is about

You learn numerical methods for solving flow problems (in particular incompressible Navier–Stokes and convection–diffusion equations). By the end of the module you can implement numerical methods (finite differences, finite volumes, weighted residuals), time integration schemes and solvers, assess their error and stability, and interpret simulation results professionally.

What you will be able to do

• Work on group tasks and discuss results
• Evaluate the quality of numerical simulations
• implement explicit and implicit time integration methods
• implement various solvers for incompressible Navier–Stokes
• Understand fundamental components of numerical methods
• Derive finite-difference and finite-volume methods
• determine numerical error with Taylor and Fourier analysis
• characterize stability and convergence properties
• select appropriate methods for different flow problems
• assess the impact of discretization schemes on simulations
• compare different methods and make reasoned decisions
• present and discuss results from implementations professionally

What the module consists of

• VorlesungConveying concepts, ideas, and methods through board work, presentations, and case studies
• ProgrammierübungImplementation of numerical components of a flow solver, group work on programming tasks with regular written submissions

Teaching method

• Tafel/Präsentation/Fallbeispielefor the introduction and explanation of fundamental terms and methods in the lecture
• Programmierübung in Gruppenfor practical implementation and testing of numerical methods; lecturer supports and grades submissions