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Numerische Methoden in der Strömungsmechanik (Sommersemester 2024)

  • 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.

Termine
Vorlesung: Montag 9:45-11:15 2.059 Beginn: 15.4.2024, Ende: 22.7.2024
Übung: Dienstag 8:00-9:30 (14-tägig) 3.068 Beginn: 23.4.2024, Ende: 23.7.2024

Starting from basics we develop the continuum mechanical model that lead to the fundamental equations for incompressible flows. We will study in more detail potential flows, Stokes flows (on bounded or exterior domains) and (non-turbulent) Navier--Stokes flows. We will sketch existence theory and show how to obtain numerical solutions with the finite element method, including stability and error estimates.

Prüfung

In the end of the lecture there will be an oral examination of about 20 min.

Literaturhinweise

  • 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.