Computational Materials Science and Process Simulation (CMP)

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: 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

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

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

Multi-scale Simulation Methods I (Tutorial) [MuSiM I (T)] Lecturer: Paolo Moretti Details: Übung, 1 cred.h, ECTS: 1, nur Fachstudium Dates: Mon, 16:00 - 17:30, Zoom-Meeting First lecture on 16.11.2020. Please see the comments for the lecture. Fields of study: PF MAP-S-CMP 3 Keywords: multi scale simulation, monte carlo, phase field method, finite element

Scientific Programming with Python [SciProgPy] Lecturer: Paolo Moretti Details: Seminar, 1 cred.h, nur Fachstudium Dates: single appointment on 5.11.2020, single appointment on 6.11.2020, 14:00 - 16:00, Zoom-Meeting single appointment on 9.11.2020, 16:00 - 17:30, Zoom-Meeting This course will be held as a compact block seminar during the first week of lecture period. This course is highly recommended for all students who take part in WW8 courses (e.g. MuSim 1 or FEM 1) and who don't have any prior Python knowledge. Since only limited places are available for this course you have to sign up for this course on StudOn. Fields of study: WF MAP-S-CMP 3 Prerequisites / Organisational information: Please register in advance at the StudOn page of the course: https://www.studon.fau.de/crs2330753_join.html