65-439 Advanced Fluid Dynamics

Veranstaltungsdetails

Lehrende: Dr. Christian Kahle

Veranstaltungsart: Vorlesung

Anzeige im Stundenplan: M-VDGL-V

Semesterwochenstunden: 2

Unterrichtssprache: Englisch

Min. | Max. Teilnehmerzahl: 5 | -

Kommentare/ Inhalte:
In this lecture we consider the numerical treatment of two-phase flow, i.e. a fluid that consist of two immiscible components. In particular we deal with the concept of diffuse interfaces to obtain partial differential equations to describe the distribution of the two phases in the fluid.
The structure of the lecture is as follows:


  1.  A brief summary of results from functional analysis that are required for the lecture (e.g. Sobolev spaces, weak convergence)
  2. Numerical analysis of a model for two phase flow that is driven by diffusion
  3. Numerical analysis of one phase flow
  4. Two-phase flow

Lernziel:
The aim of the lecture is to provide concepts for the numerical analysis of partial differential equations in the context of two-phase flow.
Most of the questions that  we tackle, arise in several stages of the discretisation process, with the final aim to simulate the two-phase flow on a computer

Vorgehen:
Content of lecture: see above.
Exercises will be provided, that will be discussed in the exercise class.

Literatur:
Some useful literature:
Gross, Reusken - Numerical Methods for Two-phase Incompressible Flows (uses a different concept for the two-phase description)
Girault, Raviart - Finite Element Methods for Navier--Stokes Equations
Hinze, Pinnau, Ulbrich, Ulbrich - Optimization with PDE constraints (Part 1 is a summary of required results from functional analysis)
Evans - Partial Differential Equations (one of the standard books for PDEs)
Brenner, Scott - The Mathematical Theory of Finite Elements
Ern, Guermond - Theory and Practice of Finite Elements
 

Modulkürzel:
Ma-M-VDGL_n

Termine
Datum Von Bis Raum Lehrende
1 Do, 15. Okt. 2015 08:15 09:45 Geom H1 Dr. Christian Kahle
2 Do, 22. Okt. 2015 08:15 09:45 Geom H1 Dr. Christian Kahle
3 Do, 29. Okt. 2015 08:15 09:45 Geom H1 Dr. Christian Kahle
4 Do, 5. Nov. 2015 08:15 09:45 Geom H1 Dr. Christian Kahle
5 Do, 12. Nov. 2015 08:15 09:45 Geom H1 Dr. Christian Kahle
6 Do, 19. Nov. 2015 08:15 09:45 Geom H1 Dr. Christian Kahle
7 Do, 26. Nov. 2015 08:15 09:45 Geom H1 Dr. Christian Kahle
8 Do, 3. Dez. 2015 08:15 09:45 Geom H1 Dr. Christian Kahle
9 Do, 10. Dez. 2015 08:15 09:45 Geom H1 Dr. Christian Kahle
10 Do, 17. Dez. 2015 08:15 09:45 Geom H1 Dr. Christian Kahle
11 Do, 7. Jan. 2016 08:15 09:45 Geom H1 Dr. Christian Kahle
12 Do, 14. Jan. 2016 08:15 09:45 Geom H1 Dr. Christian Kahle
13 Do, 21. Jan. 2016 08:15 09:45 Geom H1 Dr. Christian Kahle
14 Do, 28. Jan. 2016 08:15 09:45 Geom H1 Dr. Christian Kahle
Prüfungen im Rahmen von Modulen
Modul (Startsemester)/ Kurs Leistungs­kombination Prüfung Datum Lehrende Bestehens­pflicht
Ma-M-VDGL_1 Vertiefung Differentialgleichungen 1 (WiSe 15/16) / M-VDGL-V  Advanced Fluid Dynamics Prüfung 1  Mündliche Prüfung k.Terminbuchung Dr. Christian Kahle Ja
Ma-M-VDGL_2 Vertiefung Differentialgleichungen 2 (WiSe 15/16) / M-VDGL-V  Advanced Fluid Dynamics Prüfung 1  Mündliche Prüfung k.Terminbuchung Dr. Christian Kahle Ja
Ma-M-VDGL_3 Vertiefung Differentialgleichungen 3 (WiSe 15/16) / M-VDGL-V  Advanced Fluid Dynamics Prüfung 1  Mündliche Prüfung k.Terminbuchung Dr. Christian Kahle Ja
Ma-M-VDGL_4 Vertiefung Differentialgleichungen 4 (WiSe 15/16) / M-VDGL-V  Advanced Fluid Dynamics Prüfung 1  Mündliche Prüfung k.Terminbuchung Dr. Christian Kahle Ja
Übersicht der Kurstermine
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Lehrende
Dr. Christian Kahle