Numerische Methoden der Thermofluiddynamik I (mit Praktikum) (NMTFD)7.5 ECTS
(englische Bezeichnung: Numerical Methods in Fluid Mechanics I (with practical course))
(Prüfungsordnungsmodul: Numerische Methoden der Thermofluiddynamik I mit Praktikum)

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)
  • Numerische Methoden der Thermofluiddynamik - Praktikum
    (Praktikum, 3 SWS, Manuel Münsch et al., Mo, 10:00 - 12:00, EE 0.135)

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
  

The theory given in the lectures and applied in the exercise class is implemented into computer programs in this practical class.
The following problems are solved with matlab/octave programs:

• the Blasius-similarity equations

• heat-transfer problems

• boundary layer equations

• flow of fluid in a lid-driven cavity

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
  

The students who successfully complete this practical class should:

• be able to write matlab/octave problems solving transport problems

• understand the convergence and accuracy of a method in practical situations

• write a program to solve the two-dimensional Navier-Stokes equations

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

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 | 3.-4. Wahlpflichtmodul (mit Praktikum) | Numerische Methoden der Thermofluiddynamik I mit Praktikum)

Studien-/Prüfungsleistungen:

Numerische Methoden der Thermofluiddynamik I (mit Praktikum) (Prüfungsnummer: 54871)

(englischer Titel: Numerical Methods in Fluid Mechanics I (with practical course))

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

Anteil an der Berechnung der Modulnote: 100.0 %

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

1. Prüfer:

Manuel Münsch

Numerische Methoden der Thermofluiddynamik I (mit Praktikum) (Prüfungsnummer: 54881)

(englischer Titel: Numerical Methods in Fluid Mechanics I (with practical course))

Studienleistung, Praktikumsleistung, unbenotet

weitere Erläuterungen:
Report, approx. 10 pages

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

1. Prüfer:

Manuel Münsch