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Research Group 2: Numerics of Partial Differential Equations

Kollegiengebäude Mathematik (20.30)
Room 3.012

Visitor address:
Room 3.012
Mathematikgebäude (20.30)
Englerstraße 2
D-76131 Karlsruhe

Mail address:
Institut für Angewandte und
Numerische Mathematik 2
Karlsruher Institut für Technologie (KIT)
D-76049 Karlsruhe

Office hours:
Mon. - Thu.: 10:00-11:30

Tel.: +49 721 608 42680

Fax.: +49 721 608 46679

Numerical Methods in Fluidmechanics (Summer Semester 2018)

Lecturer: Prof. Dr. Willy Dörfler
Classes: Lecture (0161600), Problem class (0161610)
Weekly hours: 2+1
Audience: Mathematics (from 7. semester)

For this lecture we use the e-learning platform ILIAS of the SCC. You can follow this link to the ILIAS-website.

Lecture: Thursday 11:30-13:00 SR 3.061 Begin: 19.4.2018, End: 19.7.2018
Problem class: Friday 11:30-13:00 (every 2nd week) SR 3.061 Begin: 27.4.2018, End: 20.7.2018
Lecturer Prof. Dr. Willy Dörfler
Office hours: Thursday, 15:45-16:30.
Room 3.013 Kollegiengebäude Mathematik (20.30)
Email: willy.doerfler at kit.edu
Problem classes M.Sc. Fabian Castelli
Office hours: by appointment
Room 3.014 Kollegiengebäude Mathematik (20.30)
Email: fabian.castelli at kit.edu

In this lecture we are concerned with the modelling and computation of flow of liquid and gas. Examples are the Navier–Stokes equations (for incompressible viscous flows) and the Euler equations (for incompressible inviscid flows). Moreover we consider the Stokes equation (for dominant viscous effects), the compressible Navier–Stokes equations and equations for multiphase flows.

The numerical techniques we consider are the finite element method, the finite volume method and the discontinuous Galerkin method.


In the end of the lecture there will be an oral examination (about 20 min), 4 ECTS.


  • M. Feistauer, J. Felcman, I. Straˇskraba. Mathematical and computational methods for compressible flow.
  • R. Temam. Navier–Stokes Equations.
  • R. Verfürth. Computational Fluid Dynamics, Lecture Notes Ruhr-Univ. Bochum.