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Numerical Methods in Fluidmechanics (Sommersemester 2019)

  • Dozent*in: Prof. Dr. Willy Dörfler
  • Veranstaltungen: Vorlesung (0161600), Übung (0161610)
  • Semesterwochenstunden: 2+1
  • Hörerkreis: Mathematik (ab 7. Semester)

The lecture is offered in english.

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

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.

Basics in Discretisations of PDEs. Dates: Wed/Thu 24./25.4.2019, 14:00-17:15.

Vorlesung: Donnerstag 11:30-13:00 SR 3.061 Beginn: 25.4.2019, Ende: 25.7.2019
Übung: Freitag 11:30-13:00 (14-tägig) SR 3.061 Beginn: 3.5.2019, Ende: 26.7.2019
Dozent Prof. Dr. Willy Dörfler
Sprechstunde: Donnerstags, 15:45-16:45 Uhr (Aktuelle Änderungen unten)
Zimmer 3.013 Kollegiengebäude Mathematik (20.30)
Email: willy.doerfler at kit.edu
Dozent, Übungsleiter M.Sc. Fabian Castelli
Sprechstunde: nach Vereinbarung
Zimmer 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.