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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 2019)

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


Introductionary course

There will be a short course in 'Basics in Finite Elements' and 'Solving Linear Equations' by Dr. Anzt and me. It is a course in the new KIT-Centre MATHSEE and is designed for engineers. This course will replace the dates in the first week and is recommended as an introduction.

Dates: Wed/Thu 24./25.4.2019, 14:00-17:15.

Lecture: Thursday 11:30-13:00 SR 3.061 Begin: 25.4.2019, End: 25.7.2019
Problem class: Friday 11:30-13:00 (every 2nd week) SR 3.061 Begin: 3.5.2019, End: 26.7.2019
Lecturer Prof. Dr. Willy Dörfler
Office hours: Thursday, 15:45-16:30 (for changes see German page below).
Room 3.013 Kollegiengebäude Mathematik (20.30)
Email: willy.doerfler at kit.edu
Lecturer, Problem classes M.Sc. Fabian Castelli
Office hours: by appointment
Room 3.014 Kollegiengebäude Mathematik (20.30)
Email: fabian.castelli at kit.edu

Starting from basics we develop the continuum mechanical model that lead to the fundamental equations for incompressible and compressible flows. We will study in more detail potential flows, Stokes flows and (non-turbulent) Navier–Stokes flows.
The numerical techniques we consider are the finite element method, the finite volume method and the discontinuous Galerkin method.
As special applications we will consider particulate and electrokinetic flows as one will find for example in battery models.


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


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