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:
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