2
1868
King Ludwig II
founded
„Polytechnische Schule“
Pinakothek der Moderne
The Origin
1868 King Ludwig II founds the "Polytechnic School"
1877 "Technical University"
1901 Right to Award Doctorates
First Doctoral Candidate: Georg Hauser (Chemistry)
1905 Admittance of Female Students
First Female Doctoral Candidate: Amalie Baur (Chemistry)
1930 Integration of the College of Agriculture and Brewing in
Weihenstephan
1957 First Neutron Research Reactor in Germany
1967 TUM School of Medicine, University Hospital
1970 Presidential Constitution, "Technische Universität München"
1999 TUM‘s University Reform started,
Entrepreneurial University Constitution
2000 TUM School of Life Sciences Weihenstephan (Matrix Structure)
2000 Foundation of the COME programme
2002 TUM Branch in Singapore: TUM. Asia Pte. Ltd.
TUM School of Management
Department of Sport and Health Sciences
3
Milestones
2004 High-Flux Research Source Heinz Maier-Leibnitz
2005 TUM Institute for Advanced Study (IAS)
2006 TUM elected "University of Excellence"
TUM International Graduate School of Science and Engineering
(IGSSE)
2009 TUM School of Education
TUM Graduate School
2010 TUM University Foundation
Munich School of Engineering (MSE)
2012 TUM again elected "University of Excellence"
Munich Center for Technology in Society (MCTS)
2014 Hochschule für Politik München – Bavarian School
of Public Policy
2015 Munich School of Bioengineering
2018 150 years jubilee Technical University of Munich
2018 Your start here at the TUM
4
Milestones
5
Selected Nobel Laureates
Heinrich O. Wieland1927, Chemistry
Hans Fischer1930, Chemistry
Rudolf L. Mößbauer1961, Physics
Ernst Otto Fischer1973, Chemistry
Klaus von Klitzing1985, Physics
Robert Huber1988, Chemistry
6
Inventors, Engineers, Entrepreneurs
Oskar von MillerStorage Power Plants
Walchensee Power Plant
German Museum
Carl von LindeRefrigeration Engineering
Linde‘s Refrigeration Machines
Air Liquefaction
First University Spin-off
Rudolf DieselCombustion Engine Development
Diesel Engine (MAN)
Claude DornierAircraft Construction
Amphibious Aircraft
Willy MesserschmittAircraft Construction
First production-ready Jet Aircraft
Heinz Maier-LeibnitzNeutron Research
"Atom-Ei"
• Basic Researchunderstanding the world
• Applied Research shaping the world
• Method-Oriented Trainingprovide theoretical principles
support practical orientation
• Structured Training for Graduates:
TUM Graduate Schoolreach subject-specific depth
open a general horizon
• Innovation Culture – TUMentrepreneurshipacquire entrepreneurial thinking and acting
7
University: Product of Research and Teaching
8
International Rankings
9
https://www.tum.de/en/about-tum/our-university/rankings/
14 Departments
390 Buildings
178 Degree Courses
41 000 Students, 35% female, 27% international
13 100 Freshman Students
9 500 Graduates per year
> 1 000 PhD Theses per year
~ 7 000 Publications, peer-reviewed per year
546 Professors (incl. hospital)
6 500 Scientific Staff (incl. hospital)
3 300 Non-Scientific Staff (not incl. hospital)
90 ERC Grants (since 2008)
42 Humboldt Senior Research Fellows (2012-16)
17 Nobel Prize Laureates
18 Leibniz Laureates (DFG)
6 Humboldt Professors
> 1 000 Research Agreements p.a.
9
Key Data
10
Students
2000 2005 2010 2017
+110%
40 000
35 000
30 000
25 000
20 000
40 841
26 302
20 45819 454
0 1.000 2.000 3.000 4.000 5.000
Munich Center for Technology in Society
TUM School of Governance
TUM School of Education
TUM School of Management
Informatics
Mechanical Engineering
Electrical and Computer Engineering
Civil, Geo and Environmental Engineering
Architecture
Munich School of Engineering
Sport and Health Sciences
TUM School of Medicine
TUM School of Life Sciences Weihenstephan
Chemistry
Physics
Mathematics
German Students WS 17/18
International Students WS 17/18
11
Students by Departments
51%
34%
Natural Sciences
Life Sciences
Medicine
Management
Education
Social Sciences
Humanities
Engineering
1 000 2 000 3 000 4 000 5 000
12
Locations
Airport
Klinikum
Campus Garching
Martinsried
MPI-BiozentrumGroßhadern
CampusMünchen
Campus
Freising- Weihenstephan
Garching
Olympiapark
München
Klinikum Rechts der Isar
(University Hospital)
Freising-Weihenstephan
Sport and Health Science
Olympiapark
Pasing
Pasing, cbm
Civil, Geo and Environmental
Engineering
Architecture
Electrical and Computer Engineering
TUM School of Management
TUM School of Education
TUM School of Governance
13
TUM. Munich Campus
Chemistry
Physics
Informatics
Mathematics
Mechanical Engineering
14
TUM. Garching Campus
TUM School of Life Sciences
Weihenstephan
15
TUM. Weihenstephan Campus
Sport and Health Sciences
16
TUM. Olympic Park Campus
17
TUM. Medicine
German Heart Center MunichUniversity Hospital Klinikum rechts der Isar
18
Locations in Bavaria
19
European Metropolitan Region MunichResearch Network
20
European Metropolitan Region MunichResearch Network
20
Industry Network
21
Partners of Excellence
22
Global: Globalization through Localization
23
TUM.Global
Planet EarthEnvironment
InfrastructureConstruction
24
TUM. BGU Department embedded in TUM
1. Construction 3. Geodesy
2. Mobility &
Transportation Systems
5. Modelling,
Simulation,
Processes4. Hydro- &
Geoscience
Focus-Areas
2018-10-08 [email protected]
25
TUM. Programs (BGU)
4 BSc - programs
12 MSc – programs (7 international programs)
532 courses (lectures, seminars, tutorials,…)
MSc Civil Engineering
BSc Civil Engineering
BSc Environmental Engineering
MSc Environmental Engineering
MSc Computational Mechanics
MSc Transportation Systems
MSc ESPACE
MSc Energy Efficient and
Sustainable Buildings
MSc Land Management and Land Tenure
MSc Cartography (together
with TU Vienna, TU Dresden,..)BSc Geodesy and Geoinformation
BSc Earth Sciences (together with LMU)
MSc Engineering
Geology & Hydrogeology
MSc Geodesy and Geoinformation
Eng
GuG
Geo
MSc Transportation and Logistics (GIST - TUM Asia)
MSc Earth Sciences
(together with LMU)
2018-10-08 [email protected]
TUM. Department of Civil, Geo, and
Environmental Engineering
(Courses)
COME
and
BGCE
262018-10-08 [email protected]
TUM. M.Sc. Computational Mechanics
• The M.Sc. Computational Mechanics was founded in 2000
by the Faculty Civil, Geo and Environmental Engineering
• It aims for educating experts for industry and academia in
the field of computational methods in mechanics for all
areas of engineering.
Logo by COME students 2011/12
• http://www.come.tum.de
272018-10-08 [email protected]
• Generally, the lectures are offered at the central campus.
• The main chairs involved are:
- Chair of Structural Mechanics, Prof. Gerhard MÜLLER
- Chair of Structural Analysis, Prof. Kai-Uwe BLETZINGER
- Chair of Computation in Engineering, Prof. Ernst RANK
- Chair of Hydromechanics, Prof. Michael MANHART
- Chair of Computational Mechanics, Prof. Fabian DUDDECK
TUM. M.Sc. Computational Mechanics
K.-U. Bletzinger G. Müller E. Rank M. Manhart F. Duddeck
282018-10-08 [email protected]
Two years master program
In total 120 ECTS credits
36 ECTS credits compulsory courses
24 ECTS credits compulsory elective courses
30 ECTS credits elective courses
30 ECTS credits master‘s thesis
TOTAL
120 ECTS
Curriculum of the COME.tum program
• Additional qualification during your COME studies possible
BGCE - Bavarian Graduate School of Computational Engineering
Selection process at the end of the first semester.
292018-10-08 [email protected]
Compulsory Modules
Semester 1
Computation in Engineering 1
(6 ECTS)
Advanced Fluid Mechanics
(6 ECTS)
Finite Element Methods 1
(6 ECTS)
Computational Material
Modelling I(6 ECTS)
ContinuumMechanics
(6 ECTS)
TOTAL: 30/120 ECTS
Semester 3Software Lab
Project with focus on one of the specialisations(6 ECTS)
Computer Science Fluids Solids & Structures Materials Mechanics
TOTAL: 6/120 ECTS
Semester 4Master Thesis
(30 ECTS)
TOTAL: 30/120 ECTS
302018-10-08 [email protected]
CONTENT
• Object oriented modeling and programming (C++)
• Data structures
• Algorithms
• Finding roots, sorting
• Numerical integration
• Least squares method
• Conjugated Gradient method
• Quadtree/Octree structures
• Radiosity method
• Mesh generation
Compulsory Modules – Computation in Engineering 1
Stefanie Schraufstetter, André Borrmann, Ernst Rank
Quadtree for discretisation of a 2D region.
312018-10-08 [email protected]
This module is running in the context of Computation in Engineering 1
CONTENT
• Introduction into IDE (Integrated Development Environment)
• Expressions in C++
• Data types
• Control structures
• Functions
• Arrays
• Pointers & references, files
• Elementary algorithms
Libraries
*.lib
Object file
*.obj
Program
*.exeLinker
Object file
*.obj
Compulsory Modules – Computation in Engineering 1
Introduction to Programming in C++
322018-10-08 [email protected]
CONTENT
• Kinematics
• Kinetics – Navier-Stokes equations
• Pipe flow, free surface flow
• Dimensional analysis
• Turbulent flows
APPLICATIONS
• Hydraulic, river and environmental
engineering
• Building aerodynamics
• Process and mechanical engineering
Compulsory Modules – Advanced Fluid Mechanics
332018-10-08 [email protected]
CONTENT
• Direct Stiffness Method
• Finite Element Modeling
• Variational Formulation
• Plane Stress Elements
• Beam and Plate Elements
• Convergence Requirements
• Locking and FE Technology
• Implementation
• Applications
• Complemented with the course on
Modeling, Simulation, and Validation (FE tutorials)
Compulsory Modules – Finite Element Methods 1
1 2
34
1
1-
1
1
dd Jt TBCBK
342018-10-08 [email protected]
CONTENT
• Introduction to a commercial FE software
• Computer science and data management
• Mechanical modeling of structures
• Simulation of linear and first non-linear and/or
dynamic processes
• Applications
• Validations
Compulsory Modules – Finite Element Methods 1
Modeling, Simulation, and Validation
352018-10-08 [email protected]
CONTENT
• Computational descriptions for material
behaviour (micro, meso & macro levels)
• Elasticity, visco-elasticity, plasticity, visco-
plasticity, etc.
• Computational modeling of
- Metals
- Polymers
- Composites
- Ceramics
- Foams
- Biomaterials
- Geomaterials
- Others
Compulsory Modules – Computational Material Modelling 1
362018-10-08 [email protected]
CONTENT
• Introduction into tensor analysis
• Description of stress states in arbitrary, curvilinear
coordinates
• Lagrangian description of strain states
• Conservation of energy
• Conservation of mass
• Constitutive relations
• General treatment of continuum mechanical
knowledge in order to solve non-linear problems
• References to approaches of Technical Mechanics
(Torsion, Bending, Plates, Dynamics)
Compulsory Modules – Continuum Mechanics
372018-10-08 [email protected]
Compulsory Modules – Software Lab (2nd + 3rd semester)
CONTENT
• Group work on software development.
• Engineering problems from different
application fields.
• Collaboration with industry and academia
382018-10-08 [email protected]
Compulsory Elective Modules (each 6 ECTS)
TOTAL: 12/120 ECTS
Semester 2 (Summer)Choose 2 out of 4 modules
Finite ElementMethods 2
ComputationalFluid Dynamics
Theory of Plates and Shells*
Structural Dynamics
* Runs over 2 semesters
18/120 ECTSRecommended: add elective modules
Semester 3 (Winter)Choose 2 out of 4 modules
Functional Analysis &Comput. Lin. Algebra
ParallelComputing
Computational MaterialModelling 2
Optimization
TOTAL: 12/120 ECTS
12/120 ECTSRecommended: add elective modules
392018-10-08 [email protected]
Compulsory Elective: Finite Element Methods 2
CONTENT
• Large deformations
• Instability
• Ultimate load analysis
• Element formulation
• Green Lagrange strain
Piola Kirchhoff stresses
• Numerical methods
• Bifurcations, limit points
path following algorithms
• Applications
402018-10-08 [email protected]
Compulsory Elective: Computational Fluid Dynamics (CFD)
CONTENT
• Finite differences, finite volume method of weighted residuals
• Time integration
• Stability and accuracy analysis
• Solution of Navier-Stokes equations
APPLICATIONS
• Hydraulic, river and environmental engineering
building aerodynamics
• Process and mechanical engineering
412018-10-08 [email protected]
Compulsory Elective: Theory of Plates and Shells
CONTENT
• Plane stress / plane strain
• Membranes, strut & tie models
• FE formulation
• Plates in bending
• Kirchhoff / Reissner-Mindlin
• Differential geometry
• Membrane theory
• Kirchhoff-Love theory
• Shells of revolution
• Force method
• Applications
422018-10-08 [email protected]
Compulsory Elective: Structural Dynamics
CONTENT
Solution techniques for structures under the action of
dynamic loads
• Single and multi degrees of freedom systems
(SDOF and MDOF)
• Modal Analysis
• Statistical Energy Analysis
• Linear and non-linear systems
• Structures under seismic loads
• Structures under wind loads
• Machine foundations
432018-10-08 [email protected]
Compulsory Elective: Functional Analysis & Linear Algebra
CONTENT
• Mathematical foundation for numerical methods
• Error analysis and convergence
• Hilbert, Sobolev and Banach spaces
• Vector and matrix algebra
• Solution methods for large systems
442018-10-08 [email protected]
Compulsory Elective: Parallel Computing
CONTENT
• Introduction, hardware development
• Hardware: parallel and vector computers
• Basic concepts of parallel computing
• Performance measuring
• Message passing, the MPI library
• Blocking / non-blocking communication
• Domain decomposition techniques
Different domain decompositions of a FEM model
452018-10-08 [email protected]
Compulsory Elective: Computational Material Modelling 2
CONTENT
• Algorithms for plasticity
• Advanced plasticity models
• Damage
• Fracture
• Creep
• Fatigue
462018-10-08 [email protected]
CONTENT
• Mathematical basics, basic algorithms
• Gradient-based methods
• Sizing optimization
• Shape and topology optimization
• Sensitivity analysis
• Design of Experiments
• Robustness
• Evolutionary/Genetic algorithms
• Swarm methods, ant colony
• Multi-criteria optimization
• Applications
Compulsory Elective: Optimization
472018-10-08 [email protected]
Elective Modules
482018-10-08 [email protected]
Catalog is published on www.come.tum.de -> Studying -> Curriculum
• Among the 30 credits for elective modules, 20 ECTS have to be chosen from courses defined in the official curriculum (TUMonline).
• That means a maximum of 10 credits can be taken from other
programs, for example:
- Modules from other faculties (e.g. Mechanical Engineering)
- Modules from the international ATHENS program
http://www.athensprogramme.com/catalog
http://www.international.tum.de/
- Courses from other master programs of the BGCE, mainly CSE
(Computational Science and Engineering)
www.cse.tum.de
• Please Note: The number of Credits of an module may not be reduced. It is not possible to accredit e.g. 10 Credits from a 5 credtit module and a 6 credit module.
Elective Modules from other Programs
512018-10-08 [email protected]
Exams (recommended 6 exams à 6 ECTS per semester)
Semester 1 = 30 ECTSContinuum Mechanics
(6 ECTS)Advanced Fluid Mechanics
(6 ECTS)Comput. Material Modelling I
(6 ECTS)Computation in Engineering I
(6 ECTS)Finite Element Methods I
(6 ECTS)
Semester 2 = 30 ECTSCompulsory Elective I
(6 ECTS)Elective Module I
(6 ECTS)Elective Module III
(6 ECTS)*Compulsory Elective II
(6 ECTS)Elective Module II
(6 ECTS)
Semester 3 = 30 ECTSSoftware Lab
(6 ECTS)Compulsory Elective III
(6 ECTS)Elective Module V
(6 ECTS)*Compulsory Elective IV
(6 ECTS)Elective Module IV
(6 ECTS)
Semester 4 = 30 ECTSMaster thesis (30 ECTS)
TOTAL:
120/120 ECTS
522018-10-08 [email protected]
Bavarian Graduate School of Computational Engineering
The Bavarian Graduate School ...
of Computational Engineering is an association of three Master programs:
1. Computational Engineering (CE) at the Friedrich-Alexander-Universität
Erlangen-Nürnberg,
2. Computational Mechanics (COME), and
3. Computational Science and Engineering (CSE) at the Technische
Universität München.
http://www.bgsce.de/
Master of Science with Honours
• Students who master the regular program with an
above-average grade, and are still able to
complete the Honours program, as well, will earn
an adequate degree for their outstanding
performance - the "Master of Science with
Honours".
532018-10-08 [email protected]
Prof. Fabian DUDDECK
Tel.: 089 – 289-28656
Contact Address
54
Questions & Answers
TODAY: 4:30-5:30 pm
N6, 2nd floor
Room 2630
N6, 2nd floor, 2630
2018-10-08 [email protected]
Thanks for joining us – Have fun and success …
552018-10-08 [email protected]