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course list >> Technische Fakultät (Tech) >> Elitestudiengänge >> Advanced Materials and Processes - Master of Science (MAP) >> Lehrveranstaltungsverzeichnis >> Schwerpunktfächer (MAP-S-...) >>
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Computational Materials Science and Process Simulation (CMP)
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Numerical Fluid Mechanics [NMTFD VO] -
- Lecturer:
- Manuel Münsch
- Details:
- Vorlesung, 2 cred.h, nur Fachstudium
- Dates:
- Mon, 14:15 - 15:45, room tbd
- Fields of study:
- PF MAP-S-CMP 3
- Prerequisites / Organisational information:
- Strömungsmechanik I,II
Due to corona virus precautionary measures all activities within NMTFDI:
• lecture (Monday: 14:15-15:45 o’clock)
• tutorial (Wensday: 14:15-15:45 o’clock)
• practical (Monday: 10:00-11:30 o’clock)
will take place online via Zoom or video files until further notice. Further details will be given during the first lecture on 02.11.2020 (14:15-15:45 o’clock).
This lecture will be organized via Zoom. Please establish your own FAU account, see for example:
https://www.rrze.fau.de/medien-entwicklung/digitales-arbeiten/zoom/ https://fau.zoom.us/ Further information (especially: Link to the first Zoom lecture) and documents will be provided via
the StudOn page of the NMTFDI lecture:
https://www.studon.fau.de/crs3372771.html Please sign up as soon as possible to make sure that all updates will reach you:
https://www.studon.fau.de/crs3372771_join.html
Use NMTFD-is-fun to get access.
- Contents:
- 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 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
- Recommended literature:
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Tutorial numerical fluid mechanics [NMTFD UE] -
- Lecturers:
- Manuel Münsch, Simon Wagner
- Details:
- Übung, 1 cred.h, nur Fachstudium
- Dates:
- Wed, 14:15 - 15:45, 02.224 Cauerstr.9
- Fields of study:
- PF MAP-S-CMP 3
- Contents:
- 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 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
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Multi-scale Simulation Methods I (Lecture) [MuSiM I (L)] -
- Lecturer:
- Paolo Moretti
- Details:
- Vorlesung, 1 cred.h, ECTS: 1,5, nur Fachstudium
- Dates:
- Mon, 16:00 - 17:30, Zoom-Meeting
First lecture on 16.11.2020. There will be NO MuSim I L/T during the first week. Instead there will a Python course. Please sign up for the Python courses on StudOn!
- Fields of study:
- WPF MAP-S-CMP ab 3
- Prerequisites / Organisational information:
- Prerequisite for this course is good knowledge of Python. If you haven't programmed in Python yet, please attend the course "Scientific Programming with Python" which will take place during the first week of lectures. For further details please refer to the UnivIS page of the course.
- Contents:
- These lectures provide a broad overview of simulation methods operating on length scales from the atomistic to the continuum scale. Simulation methods introduced include Molecular Dynamics, equilibrium and kinetic Monte Carlo simulation, mesoscopic methods such as e.g. Dislocation Dynamics and the Phase Field method, and continuum-level modeling of materials behavior in Finite Element simulations. The introduction of methods operating on different scales is complemented by a discussion of multiscale approaches, i.e. the linking of models operating on different scales. For most of the tutorials ‘Python’ will be used as programming language, which will be introduced in a separate short course (see above).
This course is accompanied by practicals where the students will have the opportunity to numerically implement ‘one-scale’ models in a hands-on manner. This will be complemented by examples of information passing between different scales and the construction of simple multiscale models.
- Keywords:
- multi scale simulation, monte carlo, phase field method, finite element
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