Numerische Methoden der Thermofluiddynamik (NMTFD)5 ECTS
(englische Bezeichnung: Numerical Methods in Fluid Mechanics)
(Prüfungsordnungsmodul: Numerische Methoden der Thermofluiddynamik I)

Lehrveranstaltungen:

• • Numerische Methoden der Thermofluiddynamik
    (Vorlesung, 2 SWS, Manuel Münsch, Di, 12:15 - 13:45, EE 0.135)
  • Numerische Methoden der Thermofluiddynamik - Übung
    (Übung, 1 SWS, Manuel Münsch et al., Do, 10:15 - 11:45, 02.224 Cauerstr.9)

Inhalt:

• Governing equations and models in fluid mechanics

• Steady problems: the Finite-Difference Method (FDM)

• Unsteady problems: methods of time integration

• Advection-diffusion problems

• The Finite-Volume Method

• Solution of the incompressible Navier-Stokes equations

• Grids and their properties

• Boundary conditions
  

The theory given in the lectures is extended and applied to several transport problems in this exercise class:

• discretization of the Blasius similarity equations

• parabolization and discretization of the boundary layer equations

• finite-Difference discretization of heat-transfer problems

• approximation of boundary conditions

• finite-Volume discretization of heat-transfer problems

• discretization and time-stepping of the Navier-Stokes equations

• projections methods: the SIMPLE and PISO Methods

Lernziele und Kompetenzen:

The students who successfully take this module should:

• understand the physical meaning and mathematical character of the terms in advection-diffusion equations and the Navier-Stokes equations

• assess under what circumstances some terms in these equations can be negelcted

• formulate a FDM for the solution of unsteady transport equations

• asess the convergence, consistency and stability of a FDM

• formulate a FVM for the solution of unsteady transport equations

• know how to solve the Navier-Stokes equation with the FVM

• implmement programs in matlab/octave to simulate fluid flow

• assess the quality and validity of a fluid flow simulation

• work in team and write a report describing the results and significance of a simulation

• know the different types of grids and when to use them
  

The students who successfully solve the exercises should:

• be able to discretize transport problems with the finite-difference and the finite-volume methods

• discretize several type of boundary conditions (no-slip, flux, mixed)

• understand how the implementation of projection methods to solve the Navier-Stokes equation is done

• work in team

Literatur:

• J.H. Ferziger, M. Peric, Computational Methods for Fluid Dynamics, Spinger, 2008

• R.J. Leveque, Finite Difference Methods for Ordinary and Partial Differential Equations, SIAM, 2007

Weitere Informationen:

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Chemie- und Bioingenieurwesen (Master of Science)
   (Po-Vers. 2015w | TechFak | Chemie- und Bioingenieurwesen (Master of Science) | Gesamtkonto | 1.-2. Wahlpflichtmodul (ohne Praktikum) | Numerische Methoden der Thermofluiddynamik I)

Studien-/Prüfungsleistungen:

Mündliche Prüfung Numerische Methoden der Thermofluiddynamik I (Prüfungsnummer: 54871)

(englischer Titel: Oral Examination on Numerical Methods in Thermal Fluid Mechanics I)

Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 30, benotet, 5 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

Erstablegung: WS 2022/2023, 1. Wdh.: SS 2023

1. Prüfer:

Manuel Münsch