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Numerische Methoden der Thermofluiddynamik I (mit Praktikum) (NMTFD)7.5 ECTS (englische Bezeichnung: Numerical Methods in Fluid Mechanics I (with practical course))
Modulverantwortliche/r: Manuel Münsch Lehrende:
Manuel Münsch
Startsemester: |
WS 2020/2021 | Dauer: |
1 Semester | Turnus: |
jährlich (WS) |
Präsenzzeit: |
90 Std. | Eigenstudium: |
135 Std. | Sprache: |
Englisch |
Lehrveranstaltungen:
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Numerische Methoden der Thermofluiddynamik
(Vorlesung, 2 SWS, Manuel Münsch, Mo, 14:15 - 15:45)
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Numerische Methoden der Thermofluiddynamik - Übung
(Übung, 1 SWS, Manuel Münsch et al., Mi, 14:15 - 15:45, 02.224 Cauerstr.9)
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Numerische Methoden der Thermofluiddynamik - Praktikum
(Praktikum, 3 SWS, Manuel Münsch et al., Mo, 10:00 - 12:00)
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:
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:
Weitere Informationen:
www: https://www.lstm.uni-erlangen.de
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 2020/2021, 1. Wdh.: SS 2021
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 2020/2021, 1. Wdh.: SS 2021
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