Anlage C - compeng.ruhr-uni-bochum.de · Antrag auf Reakkreditierung des Master-Studiengangs Computational Engineering C1 Anlage C (Seite C1 – C76) Modulhandbuch zum Masterkurs

Antrag auf Reakkreditierung des Master-Studiengangs Computational Engineering C1

Anlage C (Seite C1 – C76)

Modulhandbuch

zum

Masterkurs Computational Engineering

Ruhr-Universität Bochum

Fakultät für

Bau- und Umweltingenieurwissenschaften


Content Curriculum ......................................................................................................................... C2

Compulsory Courses P01 – P07 ...................................................................................... C3

CE-P01: Mathematical Aspects of Differential Equations and Numerical Mathematics .... C4

CE-P02: Mechanical Modelling of Materials ..................................................................... C6

CE-P03: Computer-based Analyses of Steel Structures................................................... C8

CE-P04: Modern Programming Concepts in Engineering ............................................... C10

CE-P05: Finite Element Methods in Linear Structural Mechanics ................................... C12

CE-P06: Fluid Dynamics ................................................................................................ C14

CE-P07: Continuum Mechanics ..................................................................................... C16

Compulsory Optional Courses WP01 – WP22 ............................................................... C18

CE-WP01: Variational Calculus and Tensor Analysis ..................................................... C19

CE-WP02: Concrete Engineering and Design ................................................................ C21

CE-WP03: Dynamics and Adaptronics ........................................................................... C23

CE-WP04: Advanced Finite Element Methods ............................................................... C26

CE-WP05: Computational Fluid Dynamics ..................................................................... C28

CE-WP06: Finite Element Method for Nonlinear Analyses of Materials and Structures .. C31

CE-WP07: Computational Modelling of Mixtures ............................................................ C33

CE-WP08: Numerical Methods and Stochastics ............................................................ C35

CE-WP09: Numerical Simulation in Geotechnics and Tunnelling ................................... C37

CE-WP10: Object-oriented Modelling and Implementation of Structural Analysis Software . C39

CE-WP11: Dynamics of Structures ................................................................................ C41

CE-WP12: Computational Plasticity ............................................................................... C43

CE-WP13: Advanced Control Methods for Adaptive Mechanical Systems ..................... C45

CE-WP14: Computational Wind Engineering ................................................................. C47

CE-WP15: Design Optimization ..................................................................................... C49

CE-WP16: Parallel Computing ....................................................................................... C51

CE-WP17: Adaptive Finite Element Methods ................................................................. C53

CE-WP18: Safety and Reliability of Engineering Structures ........................................... C56

CE-WP19: Numerical Simulation of Fracture Materials .................................................. C58

CE-WP20: Materials for Aerospace Applications............................................................ C60

CE-WP21: CE-WP01 Energy Methods in Material Modelling ......................................... C62

CE-WP22: Case Study A ............................................................................................... C64


Optional Courses W01 – W03 ......................................................................................... C66

CE-W01: Training of Competences (Part 1) ................................................................... C67

CE-W02: Training of Competences (Part 2) ................................................................... C69

CE-W03: Case Study B.................................................................................................. C70

Master Thesis .................................................................................................................. C72

CE-M: Master Thesis ..................................................................................................... C73


Curriculum 2015


Compulsory Courses P01 – P07


Study course: Master Course Computational Engineering

Module name: CE-P01: Mathematical Aspects of Differential Equations and Numerical Mathematics

Abbreviation, if applicable:

MADENM

Sub-heading, if applicable:

-

Module Coordinator(s): Prof. Dr. B. Bramham

Classification within the curriculum:

Master of Science course Computational Engineering: compulsory course.

This course is not offered in any other study program.

Courses included in the module, if applicable:

Mathematical Aspects of Differential Equations and Numerical Mathematics

Semester/term: 1st Semester / WS

Lecturer(s): Prof. Dr. B. Bramham, Assistants

Language: English

Requirements: No prior knowledge or preliminary modules Basic calculus and experience with matrices.

Teaching format / class hours per week during the semester:

Lectures: 2h

Exercises: 2h

Remark: Due to the mixed background of the students, the exercise sessions often amount to additional lectures.

Study/exam achievements:

Written examination / 180 minutes

Workload [h / LP]: 180 / 6

Thereof face-to-face teaching [h]

60

Preparation and post-processing (including examination) [h]

90

Seminar papers [h] -

Homework [h] 30

Credit points: 6


Learning goals / competences:

The course will focus on the mathematical formulation of differential equations with applications to elastic theory and fluid mechanics. It gives an introduction to geometric linear algebra with emphasis on function spaces, coupled with the elementary aspects of partial differential equations. The students should learn to understand the mathematics side of the Finite Element Method for elliptic PDE in low dimensions, appropriate Sobolev geometries, the FEM for Dirichlet and Neumann problems. For that reason the basic principles in methods of error estimation are described to realize the understanding of fast and efficient solvers for the resulting matrix equations. As overall learning goal the students should attain familiarity with modern methods and concepts for the numerical solution of complicated mathematical problems.

Content:

Linear algebra: Basic concepts and techniques for finite- and infinite-dimensional function spaces stressing the role of linear differential operators. Numerical algorithms for solving linear systems. The mathematics of the finite element method in the context of elliptic partial differential equations (model problems) in dimension two.

Forms of media: Blackboard presentations, one-to-one discussions and discussions in small groups.

Literature: Claes Johnson, Numerical solution of partial differential equations by the finite element method, Cambridge 1987



Module name: CE-P02: Mechanical Modelling of Materials


MECHMOD


-

Module Coordinator(s): Prof. Dr.-Ing. R. Jänicke

Classification within the Curriculum:


This course is not taught in any other study course.


Mechanical Modelling of Materials


Lecturer(s): Prof. Dr.-Ing. R. Jänicke, Assistants

Language: English

Requirements: Basic knowledge in Mathematics and Mechanics (Statics, Dynamics and Strength of Materials)


Lectures: 2h

Exercises: 2h





60

Preparation and post processing (including examination) [h]

90


Homework [h] 30

Credit points: 6



The objective of this course is to present advanced issues of mechanics and the continuum-based modelling of materials starting with basic rheological models. The concepts introduced will be applied to numerous classes of materials. Basic constitutive formulations will be discussed numerically (Matlab).

Content:

Several advanced issues of the mechanical behaviour of materials are addressed in this course. More precisely, the following topics will be covered:

Basic concepts of continuum mechanics (introduction)

Introduction to the rheology of materials (solid, fluid, multiphase materials, jammed materials)

Theoretical concepts of constitutive modelling

1-dimensional constitutive approaches for

o Elasticity, hyperelasticity

o Inelasticity (plasticity, damage, viscoelasticity)

o Multiphase/porous materials

3-dimensional generalization of material modelling concepts

Simple boundary and initial value problems

Forms of media: Computer projector (tablet PC), additional material can be downloaded

Literature: N.S. Ottosen: The Mechanics of Constitutive Modelling, Elsevier, 2005.

A. Bertram: Elasticity and Plasticity of Large Deformations: An Introduction, Springer, 2008.

A.F. Bower: Applied Mechanics of Solids; CRC Press, 2009.



Module name: CE-P03: Computer-based Analyses of Steel Structures


CbASS


-

Module Coordinator(s): Prof. Dr.-Ing. M. Knobloch





- Basics of Analysis and Design, Fundamentals for Computer- oriented Calculations

- Stability Behaviour, Second Order Theory and Crane Supporting Structures

Semester/term: 1st Semester (WS)

Lecturer(s): Prof. Dr.-Ing. M. Knobloch / Assistants

Language: English

Requirements: Fundamental knowledge in mechanics and the strength of materials


Lecture: 2h

Exercise: 2h


Written examination for the total module / 150 minutes



60


90


Homework [h] 30

Credit points: 6



This course will introduce students to the fundamental structural behaviour of steel structures, numerical solution procedures and modelling details. The course aims to achieve a basic understanding of applied mechanics approaches to modelling member behaviour in steel structure problems. The course is addressed to young engineers, who will face the necessity of numerical analysis and applied mechanics more often in their design practice. The purpose of this course is to bridge the gap between applied mechanics and structural steel design using state-of-the-art tools. The students shall become familiar with computer-oriented analyses and design methods by using the example of steel constructions. The course will also convey to students the ability to use numerical tools and software packages for the solution of practical problems in engineering.

Content: This course is introductory – by no means does it claim completeness in such a dynamically developing field as numerical analysis of slender steel structures. The course intends to achieve a basic understanding of applied mechanics approaches to slender steel structure modelling, which can serve as a foundation for the exploration of more advanced theories and analyses of different kind of structures. Basics of the Analysis, Design and Fundamentals for Computer-Based Calculations

Basic principles of structural design

Beam theory and torsion

Finite elements for beams and plates

Software for analyses

Stability Behaviour of Slender Structures and Second Order Theory

Geometric non-linear design of structures - second order analysis

Buckling of linear members and frames

Lateral buckling and lateral torsional buckling

Eigenvalues and –shapes

Numerical methods for plate buckling Structural Behaviour and Verifications Regarding Crane Supporting Structures

Fatigue

Verification methods for crane supporting structures

Forms of media: Video and overhead projector, computer, blackboard, lecture notes

Literature: Kindmann/Kraus: „Computer-oriented Design of Steel Structures“; Ernst & Sohn; 2011

Ballio/Mazzolani: Theory and Design of Steel Structures; Spon Press, 2Rev Ed 2007

Lecture notes



Module name: CE-P04: Modern Programming Concepts in Engineering


MPCE


-

Module Coordinator(s): Prof. Dr.-Ing. M. König





Modern Programming Concepts in Engineering


Lecturer(s): Prof. Dr.-Ing. M. König, Dr.-Ing. K. Lehner

Language: English

Requirements: -


Lectures: 2h

Exercises: 2h


- Written examination / 120 minutes (70%)

- Homework (30%)

Workload [h / KP]: 180 / 6


60


80


Homework [h] 40 (2x20)

Credit points: 6



In this course, students acquire fundamental skills for the development of software solutions for engineering problems. This comprises the capability to analyze a problem with respect to its structure such that adequate object-oriented software concepts, data structures and algorithms can be applied and implemented. In this course Java is used as a programming language. The conveyed solution techniques can be easily transferred to other programming languages.

Content:

Lectures and exercises cover the following topics:

Principles of object-oriented modelling

o Encapsulation

o Polymorphism

o Inheritance

Unified Modelling Language (UML)

Basic programming constructs

Fundamental data structures

Implementation of efficient algorithms

o Vector and matrix operations

o Solving systems of linear equations

o Grid generation techniques

Using software libraries

o View3d a visualization toolkit

o Packages for graphical user interfaces

During the exercises, students practice object-oriented programming techniques in the computer lab on the basis of fundamental engineering problems.

Forms of media: Data projector, blackboard, demo programs, computer lab

Literature: M. König, Modern Programming Concepts in Engineering, Slides of the lectures

C.S. Horstmann and G. Cornell, Core Java. Volume I – Fundamentals, Prentice Hall, 2007

M. T. Goodrich and R. Tomassia, Data Structures and Algorithms in Java, John Wiley & Sons, 2005

M. Fowler, UML Distilled: A Brief Guide to the Standard Object Modeling Language, Addison-Wesley, 2003



Module name: CE-P05: Finite Element Methods in Linear Structural Mechanics


FEM-I


-

Module Coordinator: Prof. Dr. techn. G. Meschke



Master course ‘Bauingenieurwesen’, compulsory course, 1st sem.

Courses included in the module, if applicable: Finite Element Methods in Linear Structural Mechanics


Lecturer(s): Prof. Dr. techn. G. Meschke, Assistants

Language: English

Requirements: Basics in Mathematics, Mechanics and Structural Analysis (Bachelor level)


Lectures: 2h

Exercises: 2h



- Seminar papers (15%)



60


60

Seminar papers [h] 60

Homework [h] -

Credit points: 6



The main goal of this course is to qualify students to numerically solve linear engineering problems by providing a sound methodological basis of the finite element method. In addition to numerical analysis of trusses, beams and plates, the spectrum of possible applications includes analyses of transport processes such as heat conduction and pollutant transport.

In seminar papers the students shall apply the basics of the Linear Finite Element Methods learnt in the lectures and solve structural-mechanical problems by means of hand calculations. Furthermore the students are required to program and validate problems in structural analysis and transport processes.

Content:

Introduction to the finite element method in the framework of linear elastodynamics. Based upon the weak form of the boundary value problem principles of spatial discretization using the finite element method are explained step by step. First, one-dimensional isoparametric p-truss elements are used to explain the fundamentals of the finite element method. Afterwards the same methodology is used to develop two- (plane stress and plane strain) and three-dimensional isoparametric p-finite elements for linear structural mechanics. In addition to analyses related to structural mechanics, the application of the finite element method to the spatial discretization of problems associated with transport processes within structures (e.g. heat conduction, pollutant transport, moisture transport, coupled problems) is demonstrated. The second part of the lecture is concerned with finite element models for beams and plates. In this context aspects of element locking and possible remedies are discussed. The lectures are supplemented by exercises to promote the understanding of the underlying theory and to demonstrate the application of the finite element method for the solution of selected examples. Furthermore, practical applications of the finite element method are demonstrated by means of a commercial finite element program.

Forms of media: Blackboard, transparencies, beamer presentations

Literature: Manuscript and Lecture Notes

J. Fish and T. Belytschko, A First Course in Finite Elements, Wiley, 2007

K.-J. Bathe, Finite Element Procedures, Prentice Hall, 1996

T.J.R. Hughes, The Finite Element Method. Linear Static and Dynamic Finite Element Analysis, Prentice Hall, 1987

O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method. Part I: Basis and Fundamentals, Elsevier Science & Technology, 2005



Module name: CE-P06: Fluid Dynamics


FD


-

Module Coordinator(s): Prof. Dr.-Ing. R. Höffer





Fluid Dynamics

Semester/term: 2nd Semester / SS

Lecturer(s): Prof. Dr.-Ing. R. Höffer, Assistants

Language: English

Requirements: CE-P1, CE-P2, Fluid Mechanics (Bachelor level)


Lectures: 1h

Exercises: 1h





30


30


Homework [h] Course-related, connected homework, individual or group work upon agreement with the lecturers: 30 h.

Credit points: 3



The students shall acquire consolidated skills of the basic laws of hydraulics, potential theory, flow dynamics and turbulence theory. The students shall be enabled to assess and to solve technical problems related to flow dynamics in hydraulics and in aerodynamics.

Content:

The technical basics of dynamic fluid flows are introduced, studied and recapitulated as well as related problems which are relevant for practical applications and solution procedures with an emphasis put on computational aspects. The lectures and exercises contain the following topics:

Short review of hydrostatics and dynamics of incompressible flows involving friction (conservation of mass, energy and momentum, Navier-Stokes equations)

Potential flow

Isotropic turbulence and turbulence in a boundary layer flow

Flow over streamlined and bluff bodies

The students are guided in the exercises to working out assessment and solution strategies for related, typical technical problems in fluid dynamics.

Forms of media: Blackboard, beamer, overheads, visit to the laboratory; exercises with examples; regular consultations and discussion of homework

Literature: Höffer, R. et al.: Lecture Notes

Gersten, K.: Einführung in die Strömungsmechanik. Aktuelle Auflage, Friedrich Vieweg & Sohn Verlag, Braunschweig, Wiesbaden

Fox R. W., McDonald A. T. : Introduction to Fluid Mechanics (SI Version), John Wiley & Sons, Inc., 5th Edition, ISBN 0-471-59274-9, 1998

Spurk J. H. : Fluid Mechanics, Springer Verlag , Berlin Heidelberg New York, ISBN 3 – 540 – 61651 -9, 1997



Module name: CE-P07: Continuum Mechanics


CM


-

Module Coordinator(s): Prof. Dr. rer. nat. K. Hackl





Continuum Mechanics


Lecturer(s): Prof. Dr. rer. nat. K. Hackl, Prof. Dr. rer. nat. K.C. Le

Language: English

Requirements: CE-P01, CE-P02


Lectures: 2h

Exercises: 2h





60


120


Homework [h] -

Credit points: 6



Extended knowledge in continuum-mechanical modelling and solution techniques as a prerequisite for computer-oriented structural analysis.

Content:

The course starts with an introduction to the advanced analytical techniques of linear elasticity theory, then moves on to the continuum-mechanical concepts of nonlinear elasticity and ends with the discussion of material instabilities and microstructures. Numerous examples and applications will be given.

Advanced Linear Elasticity

Beltrami equation

Navier equation

Stress-functions

Scalar- and vector potentials

Galerkin-vector

Love-function

Solution of Papkovich - Neuber

Nonlinear Deformation

Strain tensor

Polar descomposition

Stress-tensors

Equilibrium

Strain-rates

Nonlinear Elastic Materials

Covariance and isotropy

Hyperelastic materials

Constrained materials

Hypoelastic materials

Objective rates

Material stability

Microstructures

Forms of media: Blackboard and beamer presentations

Literature: Pei Chi Chou, Nicholas J. Pagano, Elasticity, Dover, 1997

T.C. Doyle, J.L. Ericksen, Nonlinear Elasticity Advances in Appl. Mech. IV, Academic Press, New York, 1956

C. Truesdell, W. Noll, The nonlinear field theories Handbuch der Physik (Flügge Hrsg.), Bd. III/3, Springer-Verlag, Berlin, 1965

J.E. Marsden, T.J.R. Hughes, Mathematical foundation of elasticity, Prentice Hall, 1983

R.W. Ogden, Nonlinear elastic deformation, Wiley & Sons, 1984


Compulsory Optional Courses WP01 – WP22



Module name: CE-WP01: Variational Calculus and Tensor Analysis


VarTens


-

Module Coordinator(s): Prof. Dr.-Ing. R. Jänicke


Master of Science course Computational Engineering: Compulsory optional course.



Variational Calculus and Tensor Analysis


Lecturer(s): Prof. Dr.-Ing. R. Jänicke

Language: English

Requirements: Basic knowledge in Mathematics and Mechanics


Lectures: 2h

Exercises: 1h





45


60


Homework [h] 15

Credit points: 4



The objective of this course is to present basic issues of variational methods and tensor analysis. The course will address the basic mathematical aspects and links them to the fundamental framework of continuum mechanics.

Content:

The course covers the following topics:

Motivation: Why do we need variations and tensors in mechanics?

Tensor Analysis:

Vector and tensor notation

Vector and tensor algebra

Dual bases, coordinates in Euclidean space

Differential calculus

Scalar invariants and spectral analysis

Isotropic functions

Variational Calculus:

First variation

Boundary conditions

PDEs: Weak and strong form

Constrained minimization problems, Lagrange multipliers

Applications to continuum mechanics

Forms of media: Blackboard or Computer projector. Digital supplementary material.

Literature: B. van Brunt: The Calculus of Variations, Springer, 2010

M. Giaquinta: Calculus of Variations I, Springer, 2010

R.M. Bowen: Introduction to Vectors and Tensors, Dover, 2009.

M. Itskov: Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics, Springer, 2009.



Module name: CE-WP02: Concrete Engineering and Design


CED


-

Module Coordinator(s): Prof. Dr.-Ing. P. Mark


Master of Science course Computational Engineering: compulsory optional course.

Master course ‘Bauingenieurwesen’, optional course, 2nd Semester


Concrete Engineering and Design


Lecturer(s): Prof. Dr.-Ing. P. Mark, Assistants

Language: English

Requirements: Basic knowledge in structural engineering, mechanics of beam and truss structures, reinforced concrete design and material properties


Lectures: 2h

Exercises: 2h





60


90


Homework [h] 30

Credit points: 6



The students should be able to understand and apply the fundamental principles in calculating and designing reinforced and pre-stressed concrete members and structures. They should gain special knowledge in the application of numerical methods for concrete engineering and in the field of nonlinear methods like plasticity methods.

Contents:

The module includes the following topics:

principles and safety concept of Eurocode 2

material properties and modelling

bending and shear design

design principles using spreadsheet analyses and optimisation methods

moment-curvature-relations

numerical section modelling (fibre model)

strut-and-tie-modelling

redistribution of sectional forces

principles of pre-stressing

o methods of pre-stress application

o time-variant and time-invariant losses

o calculation of deviation forces

o application in FE-methods

application of mathematical software in nonlinear calculations

optional: case study according to WP22 or W03

Forms of media: Beamer, blackboard, overhead, models

Literature: Lecture notes: Concrete Engineering and Design

Concrete Structures Euro-Design Handbook, Ernst & Sohn, Berlin, 1995.

Häußler-Combe, U.: Computational Methods for Reinforced Concrete Structures, Ernst & Sohn, Berlin, 2014.



Module name: CE-WP03: Dynamics and Adaptronics


DA


-

Module Coordinator(s): Prof. Dr. rer. nat. K. C. Le, Prof. Dr.-Ing. T. Nestorović





Dynamics and Adaptronics


Lecturer(s): Prof. Dr.-Ing. T. Nestorović, Prof. Dr. rer. nat. K. C. Le

Language: English

Requirements: CE-P01, CE-P02, Basic knowledge in Structural Mechanics, Control Theory and Active Mechanical Structures


Lecture: 2h

Exercise: 2h





60


75


Homework [h] 45

Credit points: 6



First principles in dynamics of discrete and continuous mechanical systems, methods for the solution of dynamical problems and their application to structural dynamics and active vibration control. Acquiring knowledge in fundamental control methods, structural mechanics and modelling and their application to the active control of mechanical structures.

Content:

The course introduces the first principles of the dynamics of discrete and continuous mechanical systems: Newton laws and Hamilton variational principles. The force and energy methods for deriving the equation of motion for systems with a finite number of degrees of freedom as well as for continuous systems are demonstrated. The energy conservation law for conservative systems and the energy dissipation law for dissipative systems are studied. Various exact and approximate methods for solving dynamical problems, along with the Laplace transform method, the method of normal mode for coupled systems, and the Rayleigh method are developed for free and forced vibrations. Various practical examples and applications to resonance and active vibration control are shown. Further, an overall insight of the modelling and control of active structures is given within the course. The terms and definitions as well as potential fields of application are introduced. For the purpose of the controller design for active structural control, the basics of the control theory are introduced: development of linear time invariant models, representation of linear differential equations systems in the state-space form, controllability, observability and stability conditions of control systems. The parallel description of the modelling methods in structural mechanics enables the students to understand the application of control approaches. For actuation/sensing purposes multifunctional active materials (piezo ceramics) are introduced as well as the basics of the numerical model development for structures with active materials. Control methods include time-continuous and discrete-time controllers in the state space for multiple-input multiple-output systems, as well as methods of the classical control theory for single-input single output systems. Differences and analogies between continuous and discrete time control systems are specified and highlighted on the basis of a pole placement method. Closed-loop controller design for active structures is explained. Different application examples and problem solutions show the feasibility and importance of the control methods for structural development. Within this course the students learn computer aided controller design and simulation using Matlab/Simulink software.

Forms of media: Blackboard and beamer presentations, computer exercises


Literature: Le K. C.: Energy Methods in Dynamics, Springer, 2011

Timoshenko S.: Vibration Problems in Engineering, third edition, D. van Nostrand Company, 1956

Fuller C. R., Elliott S. J., Nelson P. A.: Active Control of Vibration, Academic Press Ltd, London, 1996

Franklin G. F., Powell J. D., Emami-Naeini A.: Feedback Control of Dynamic Systems, second edition, Addison-Wesley Publishing Company, 1991

Franklin G. F., Powell J. D., Workman M. L.: Digital Control of Dynamic Systems, third edition, Addison-Wesley Longman, Inc., 1998

Preumont A.: Vibration Control of Active Structures: An Introduction, Kluwer Academic Publishers, Dordrecht, Boston, London, 1997



Module name: CE-WP04: Advanced Finite Element Methods

Abbreviation FEM-II


-






Advanced Finite Element Methods



Language: English

Requirements: Basics in Mathematics, Mechanics and Structural Analysis (Bachelor), good knowledge in Finite Element Methods in Linear Structural Mechanics (CE-P05)


Lectures: 2 h

Exercises: 2 h



- Seminar papers & PC exercise / Homework (15%)



60


60


Homework [h] 60

Credit points: 6



The main goal of this course is to qualify students to numerically solve nonlinear problems in engineering sciences by providing the methodological basis of the geometrically and physically nonlinear finite element method.

In seminar papers the students shall apply the basics of the Advanced Finite Element Methods and solve nonlinear structural-mechanical problems by means of hand calculations. Furthermore the students are required to program and validate problems in geometrically and physically nonlinear structural analysis.

Contents:

Based upon a brief summary of non-linear continuum mechanics the weak form of non-linear elastodynamics, its consistent linearization and its finite element discretization are discussed and, in a first step, specialized to one-dimensional spatial truss elements to understand the principles of the formulation of geometrically nonlinear finite elements. In addition, an overview of nonlinear constitutive models including elasto-plastic and damage models is given. The second part of the lecture focuses on algorithms to solve the resulting non-linear equilibrium equations by load- and arc-length controlled Newton-type iteration schemes. Finally, the non-linear finite element method is used for the non-linear stability analysis of structures.

The lectures are supplemented by exercises to support the understanding of the underlying theory and to demonstrate the application of the non-linear finite element method for the solution of selected examples. Furthermore, practical applications of the non-linear finite element method are demonstrated by means of a commercial finite element programme.

Forms of media: Blackboard, transparencies, beamer presentations

Literature: Manuscript and Lecture notes

T. Belytschko and W.K.Liu, Nonlinear Finite Elements for Continua and Structures, Wiley, 2000

O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method for Solid and Structural Mechanics, Elsevier, 2005



Module name: CE-WP05: Computational Fluid Dynamics


CFD


-

Module Coordinator(s): Prof. Dr. R. Verfürth





Computational Fluid Dynamics


Lecturer(s): Prof. Dr. R. Verfürth, NN (Fakultät für Mathematik)

Language: English

Requirements: Basic knowledge of: partial differential equations and their variational formulation, finite element methods, numerical methods for the solution of large linear and non-linear systems of equations


Lectures: 4h per week including approximately 2h exercises per week





60


90


Homework [h] 30

Credit points: 6



Students should become familiar with modern methods for the numerical solution of complicated flow problems. This includes: finite element and finite volume discretizations, a priori and a posteriori error analysis, adaptivity, advanced solution methods of the discrete problems including particular multigrid techniques

Content:

1st week: Modelization

Velocity, Lagrangian / Eulerian representation; transport theorem, Cauchy theorem; conservation of mass, momentum and energy; compressible Navier-Stokes / Euler equations; nonstationary incompressible Navier-Stokes equations; stationary incompressible Navier-Stokes equations; Stokes equations; boundary conditions

2nd week: Notations and auxiliary results

Differential operators; Sobolev spaces and their norms; properties of Sobolev spaces; finite element partitions and their properties; finite element spaces; nodal bases

3rd week: FE discretization of the Stokes equations. 1st attempt

Stokes equations; variational formulation in {div u = 0}; non-existence of low-order finite element spaces in {div u = 0}; remedies

4th to 5th week: Mixed finite element discretization of the Stokes equations

Mixed variational formulation; general structure of finite element approximation; an example of an instable low-order element; inf-sup condition; motivation via linear systems; catalogue of stable elements; error estimates; structure of discrete problem

6th week: Petrov-Galerkin stabilization

Idea: consistent penalty term; general structure; catalogue of stabilizations; connection with bubble elements; structure of discrete problem; error estimates; choice of stabilization parameters

7th week: Non-conforming methods

Idea; most important example; error estimates; local solenoidal bases

8th week: Streamline formulation

Stream function; connection to bi-Laplacian; FE discretizations

9th week Numerical solution of the discrete problems

General structure and difficulty; Uzawa algorithm; improved version of Uzawa algorithm; multigrid; conjugate gradient variants

10th week: Adaptivity

Aim of a posteriori error estimation and adaptivity; residual estimator; local Stokes problems; choice of refinement zones; refinement rules

11th week: FE discretization of the stationary incompressible Navier-Stokes equations

variational problem; finite elements discretization; error estimates; streamline-diffusion stabilization; upwinding


12th week: Solution of the algebraic equations

Newton iteration and its relatives; path tracking; non-linear Galerkin methods; multigrid

13th week: Adaptivity

Error estimators; type of estimates; implementation

14th week: Finite element discretization of the instationary incompressible Navier-Stokes equations

Variational problem; time-discretization; space discretization; numerical solution; projection schemes; characteristics; adaptivity

14th week: Space-time adaptivity

Overview; residual a posteriori error estimator; time adaptivity; space adaptivity

14th week: Discretization of compressible and inviscid problems

Systems in divergence form; finite volume schemes; construction of the partitions; relation to finite element methods; construction of numerical fluxes

Forms of media: Blackboard and beamer presentation

Literature: Lecture Notes available online at: http://www.rub.de/num1/files/lectures/CFD.pdf

M. Ainsworth, J. T. Oden: A Posteriori Error Estimation in Finite Element Analysis. Wiley, 2000

V. Girault, P.-A. Raviart: Finite Element Approximation of the

Navier-Stokes Equations. Computational Methods in Physics, Springer, Berlin, 2nd edition, 1986

R. Glowinski: Finite Element Methods for Incompressible Viscous Flows. Handbook of Numerical Analysis Vol. IX, Elsevier 2003

E. Godlewski, P.-A. Raviart: Numerical Approximation of Hyperbolic Systems of Conservation Laws. Springer, 1996

D. Gunzburger, R. A. Nicolaides: Incompressible CFD - Trends and Advances. Cambridge University Press, 1993

D. Kröner: Numerical Schemes for Conservation Laws. Teubner-Wiley, 1997

R. LeVeque: Finite Volume Methods for Hyperbolic Problems. Springer, 2002

O. Pironneau: Finite Element Methods for Fluids. Wiley, 1989

R. Temam: Navier-Stokes Equations. 3rd edition, North

Holland, 1984

R. Verfürth: A Posteriori Error Estimation Techniques for Finite Element Methods. Oxford University Press, Oxford, 2013

http://www.rub.de/num1/files/lectures/CFD.pdf



Module name: CE-WP06: Finite Element Method for Nonlinear Analyses of Materials and Structures

Abbreviation FEM-III


-






Finite Element Method for Nonlinear Analyses of Inelastic Materials and Structures



Language: English

Requirements: Basic knowledge of tensor analysis, continuum mechanics and linear Finite Element Methods is required; participation in the lecture ,,Advanced Finite Element Methods’’ (CE-WP04) is strongly recommended


Lectures including exercises: 2 h


Project work (implementation of nonlinear material models) and final student presentation within the scope of a seminar (100%)



30


-


Homework [h] -

Credit points: 3



The goal of the course is to convey to students the ability to formulate and to implement inelastic material models for ductile and brittle materials within the context of the finite element method and to perform nonlinear ultimate load structural analyses.

Contents:

The course is concerned with inelastic material models including their algorithmic formulation and implementation in the framework of nonlinear finite element analyses. Special attention will be paid to efficient algorithms for physically nonlinear structural analyses considering elastoplastic models for metals, soils and concrete as well as damaged based models for brittle materials. As a final assignment, the formulation and implementation of inelastic material models into an existing finite element programme and its application to nonlinear structural analyses will be performed in autonomous teamwork by the participants.

Forms of media: Blackboard, Beamer presentations, Computer lab

Literature: Manuscript and handouts

J.C. Simo and T.J.R. Hughes, “Computational Inelasticity”, Springer, New York, 1998



Module name: CE-WP07: Computational Modelling of Mixtures


MODMIX


-

Module Coordinator(s): N.N.





Computational Modelling of Mixtures


Lecturer(s): N.N.

Language: English

Requirements: Knowledge in Mathematics and Mechanics (Tensor Theory, Mechanical Modelling of Materials)


Lectures: 2h

Exercises: 1h



- Seminar papers (25%)



45


45


Homework [h] -

Credit points: 4



The objective of this course is to present state-of-the-art approaches relating to the modelling of multiphase materials and mixtures. The basic concepts of continuum mixture theory will further be addressed. The concepts introduced will be applied to quasi-static, dynamic and wave propagation phenomena in porous media and multiphase materials. Simple boundary and initial value problems are formulated and solved with coupled numerical solution techniques.

Content:

Several advanced approaches in the field of continuum mixtures will be addressed. More precisely, the following topics will be covered:

Basic concept of superimposed continua

Kinematical description of continuum mixtures

Balance equations for single and multiphase materials

Material theory of mixtures

o Extended entropy inequality

o Principle of phase separation

o Equilibrium and non-equilibrium relations

Basic binary models of solid-solid, solid-fluid and fluid-fluid mixtures including boundary and initial value problems (multiphase and multi-component fluids, consolidation processes, diffusion problems)

Numerical solution strategies for coupled problems

Forms of media: Computer projector (tablet PC), additional material can be downloaded

Literature: K.R. Rajagopal & L. Tao: Mechanics of Mixtures, World Scientific, 1995.

G.F. Pinder & W.G. Gray: Essentials of Multiphase Flow and Transport in Porous Media, Wiley, 2008.

R. de Boer: Trends in Continuum Mechanics of Porous Media, Springer 2005.

O. Coussy: Mechanics and Physics of Porous Media, Wiley, 2010.



Module name: CE-WP08: Numerical Methods and Stochastics


NMS


-

Module Coordinator(s): Prof. Dr. H. Dehling, Prof. Dr. R. Verfürth





Numerical Methods and Stochastics


Lecturer(s): Prof. Dr. H. Dehling, NN (Fakultät für Mathematik)

Language: English

Requirements: Basic knowledge of: partial differential equations, numerical methods and stochastics


Lectures: 4h per week including approximately 1h exercises per week





60


90


Homework [h] 30

Credit points: 6



Students should become familiar with modern numerical and stochastic methods

Content:

Numerical Methods:

Boundary value problems for ordinary differential equations (shooting, difference and finite element methods)

Finite element methods (brief retrospection as a basis for further material)

Efficient solvers (preconditioned conjugate gradient and multigrid algorithms)

Finite volume methods (systems in divergence form, discretization, relation to finite element methods)

Nonlinear optimization (gradient-type methods, derivative-free methods, simulated annealing)

Stochastics:

Fundamental concepts of probability and statistics: (multivariate) densities, extreme value distributions, descriptive statistics, parameter estimation and testing, confidence intervals, goodness of fit tests

Time series analysis: trend and seasonality, ARMA models, spectral density, parameter estimation, prediction

Multivariate statistics: correlation, principal component analysis, factoranalysis

Linear models: multiple linear regression, F-test for linear hypotheses, Analysis of Variance


Literature: To be announced in the first lecture


Study course: Master course Computational Engineering

Module name: CE-WP09: Numerical Simulation in Geotechnics and Tunnelling


NSGT


-

Module Coordinator(s): Prof. Dr. techn. G. Meschke, Prof.-Dr.-Ing. T. Schanz


Master of Science course Computational Engineering: Compulsory-optional course.



Numerical Simulation in Geotechnics and Tunnelling

Semester/term: 2nd Semester (SS)

Lecturer(s): Prof. Dr. techn. G. Meschke, Dr. A.A. Lavasan, Assistants

Language: English

Requirements: Fundamental knowledge in soil mechanics and FEM


Lecture: 2 h

Exercise: 2 h

Study/exam achievements: Study work (100 %)



60


75


Homework [h] 45

Credit points: 6



Acquiring knowledge in fundamentals of the finite element method in the modelling, design and control for geotechnical structures and tunnelling problems. The course provides effective methodologies to generate proper models to predict soil-structure interactions by performing nonlinear analysis.

Content: Numerical Simulation in Geotechnics The course gives an overall insight to the numerical simulation of geotechnical and tunneling problems by using the finite element method including constructional details, staged excavation processes and support measures. This encompasses material modeling, discretization in space and time and the evaluation of numerical results. The terms and expressions for creating proper numerical models showing appropriate mesh shapes, boundary and initial conditions are introduced. Different constitutive models with their parameters and potential fields of application for different materials are presented in order to show how accurate results can be obtained. To control the reliability of numerical models, the basics of constitutive parameter calibration, model validation and verification techniques are explained. In connection with the possibilities of 2D and 3D discretization, the basics of invariant model development are explained. To achieve a better understanding of the soil-water interactions in drained, undrained and consolidation analyses, fully coupled hydromechanical finite element solutions are described. Basics of local and global sensitivity analyses are introduced to address the effectiveness of the contributing constitutive parameters as well as constructional aspects within the sub-systems. To perform global sensitivity analyses, which usually requires a vast number of test runs, the meta modeling technique as a method for surrogate model generation is presented. All these methods are consequently applied in the context of a reference case study on a tunneling-related topic.

Numerical Simulation in Tunneling This tutorial provides an overview of the most important aspects of realistic numerical simulations of tunnel excavation using the Finite Element Method including staged excavation processes and support measures. This encompasses material modeling, discretization in space and time and the evaluation of numerical results. In the framework of the exercises nonlinear numerical analyses in tunneling will be performed by the participants in autonomous teamwork in the computer lab.

Forms of media: Blackboard and beamer presentations, computer lab

Literature: ChapmanD., Metje,N., StärkA.: Introduction to Tunnel Construction, Spon Press Ltd, New York, 2010.

PottsD., AxelssonK., GrandeL., Schweiger H., Long M.: Guidelines for the use of advanced num. analysis, Telford Ltd, London,2002.

ChenW.F.: Non-linear Analysis in Soil Mechanics, Elsevier,1990.

Muir Wood, D.: Soil Behaviour and Critical State Soil Mechanics, Cambridge University Press, 1990.

Handouts and lecture notes



Module name: CE-WP10: Object-oriented Modelling and Implementation of Structural Analysis Software

Abbreviation: OOFEM


-



Computational Engineering, advanced courses, additional, second semester


-


Lecturer(s): Prof. Dr.-Ing. M. Baitsch, Assistants

Language: English

Requirements: Finite Element Methods in Linear Structural Mechanics and Modern Programming Concepts in Engineering


Block seminar / equiv. to 2h lecture


Study project and oral examination



40


0


Homework [h] 80

Credit points: 4



The main goal of the seminar is to enable students to implement the theories and methods taught in ‘Finite Element Methods in Linear Structural Mechanics’ in an object-oriented finite element program for the analysis of engineering structures.

Content:

The seminar links the theory of finite element methods with object-oriented programming in the sense that the finite element theory is applied within a finite element program developed by the students. In order to gain insights into both topics – object-oriented programming and finite element theory – students implement an object-oriented finite element program for the analysis of spatial truss structures. This combination of the theory of numerical methods with object-oriented programming provides an inspiring basis for the successful study of computational engineering. In the lecture, the fundamentals of the finite element method and object-oriented programming are briefly summarized. The programming part of the course comprises two parts. In the first part, the topic is fixed: Students individually develop an object-oriented finite element program for the linear analysis of spatial truss structures. The program is verified by means of the static analysis of a representative benchmark and afterwards applied for the numerical analysis of an individually designed spatial truss structure. In the second part, students can choose between different options. Either, the application developed in the first part is extended to more challenging problems (nonlinear analysis, other element types, etc.) or students switch to an existing object-oriented finite element package (e.g. Kratos) and develop an extension of that software.

Forms of media: Beamer presentations, blackboard, computer pool work

Literature: M. Baitsch, D. Kuhl, Object-Oriented Modeling and Implementation of Structural Analysis Software, Seminar Notes, 2006

C.S. Horstmann, G. Cornell, Core Java. Volume I – Fundamentals, Prentice Hall, 2001

O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method ITS Basis and Fundamentals, Elsevier Science & Technology, 2005

T. Anderson, A Quick Introduction to C++, http://homes.cs.washington.edu/~tom/c++example/c++.pdf

P. Dadvand, A framework for developing finite element codes for multi-disciplinary applications. Phd thesis. 4/2007.

B. Stroustrup, The Design and Evolution of C++, Addison-Wesley, 5/1994.



Module name: CE-WP11: Dynamics of Structures

Abbrevation, if applicable:

DoS


-

Module Coordinator(s): Prof. Dr.-Ing. R. Höffer, Prof. Dr. techn. G. Meschke



Master course ‘Bauingenieurwesen’, optional course, 3rd Semester


- Structural basics of structural dynamics

- Linear computational dynamics

Semester/ term: 3rd Semester, WS

Lecturer(s): Prof. Dr.-Ing. R. Höffer, Prof. Dr. techn. G. Meschke, Assistants

Language: English

Requirements: CE-P05, Recommended: CE-WP03

Teaching format/ class hours per week during the semester:

Lectures: 2h

Exercises: 2h

Study/ exam achievements:

Written examination for the total module / 120 minutes

Workload [h/ LP]: 180 / 6

Therefore face-to-face teaching [h]:

60

Preparation and post processing (including examination) [h]:

60

Seminar papers [h]: Course-related, connected seminar papers, individual or group work upon agreement with the lecturers: 60 h.

Homework [h]: -

Credit points: 6


Learning goals/ competences:

The ability to create suitable structural models for dynamically excited structures and to perform dynamic structural analyses through engineering calculations, especially using the Finite Element Method, in time and frequency domains.

Content:

Part I: Basics of Structural Dynamics

Modelling of structures as single- and multi-degree-of-

freedom systems

Statistical description of random vibrations

Spectral method for stationary broad-banded excitation

mechanisms, especially for wind excitation

Response spectrum method for earthquake loading

Part II: Linear Computational Structural Dynamics

Basics of linear Elastodynamics and Finite Element Methods

in Structural Dynamics

Explicit and implicit integration methods with emphasis on

generalized Newmark-methods

Accuracy, stability and numerical dissipation

Overview on Finite Element Methods for modal analyses

Computer lab: Implementation of algorithms into Finite

Element programs

Homework: Dynamic analysis of a structural system. The results of

the project have to be summarized in a poster and a presentation.

Format of media: Blackboard

Beamer presentations, Computer lab, internet computing

Literature: Lecture notes

D. Thorby, „Structural Dynamics and Vibrations in Practice –

An Engineering Handbook“, Elsevier, 2008.

R.W. Clough, J. Penzien, „Dynamics of Structures“, McGraw-

Hill Inc., New York, 1993

K. Meskouris, „Structural Dynamics“, Ernst & Sohn, 2000.

OC. Zienkiewicz, R. L. Taylor, ,,The Finite Element Method’’,

Vol. 1, Butterworth-Heinemann, 2000.

T.J.R. Hughes, “Analysis of Transient Algorithms with

Particular Reference to Stability Behavior”, in T. Belytschko

and T.J.R. Hughes “Computational Methods for Transient

Analysis”, North-Holland, Amsterdam, 1983



Module name: CE-WP12: Computational Plasticity


-


-




Master course “Maschinenbau”: optional course, 2nd Semester.


Computational Plasticity

Semester/term: 3rd Semester / WS

Lecturer(s): Dr.-Ing. U. Hoppe, Assistants

Language: English

Requirements: Basic knowledge of continuum mechanics (CE-P07) is required.


Lectures including exercises: 3h





45


75


Homework [h] -

Credit points: 4



Fundamentals of the computational modeling of inelastic materials with emphasis on rate independent plasticity. A sound basis for approximation methods and the finite element method. Understanding of different methodologies for the discretization of time evolution problems, and rate independent elasto-plasticity in particular.

Content:

Introduction: Physical Motivation. Rate Independent Plasticity. Rate Dependence. Creep. Rheological Models.

1-D Mathematical Model: Yield Criterion. Flow Rule. Loading / Unloading Conditions. Isotropic and Kinematic Hardening Models.

Computational Aspects of 1-D Elasto-Plasticity: Integration Algorithms for 1-D Elasto-Plasticity. Operator Split. Return Mapping. Incremental Elasto-Plastic BVP. Consistent Tangent Modulus.

Classical Model of Elasto-Plasticity: Physical Motivation. Classical Mathematical Model of Rate-Independent. Elasto-Plasticity: Yield Criterion. Flow Rule. Loading / Unloading Conditions.

Computational Aspects of Elasto-Plasticity: Integration Algorithms for Elasto-Plasticity. Operator Split. The Trial Elastic State. Return Mapping. Incremental Elasto-Plastic BVP. Consistent Tangent Modulus.

Integration Algorithms for Generalized Elasto-Plasticity: Stress Integration Algorithm.

Computational Aspects of Large Strain Elasto-Plasticity: Multiplicative Elasto-Plastic Split. Yield Criterion. Flow Rule. Isotropic Hardening Operator Split. Return Mapping. Exponential Map. Incremental Elasto-Plastic BVP.

Forms of media: Lecture: Blackboard and beamer presentations

Programming Exercises: Computer Lab

Literature: Lecture notes

M.A. Crisfield: Basic plasticity Chapter 5. in: Non-linear Finite Element Analysis of Solids and Structures. Volume1: Essentials, John Wiley, Chichester, 1991

J. C. Simo and T. J. R. Hughes, Computational Inelasticity, Springer, 1998

F. Dunne, N. Petrinic, Introduction to Computational Plasticity, Oxford University Press, 2005

E.A. de Souza Neto, D. Peric, D.R.J. Owen, Computational Methods for Plasticity: Theory and Applications, Wiley, 2008



Module name: CE-WP13: Advanced Control Methods for Adaptive Mechanical Systems


ACMAMS


-

Module Coordinator(s): Prof. Dr.-Ing. T. Nestorović





Advanced Control Theory, Structural Control


Lecturer(s): Prof. Dr.-Ing. T. Nestorović

Language: English

Requirements: Control theory, structural control, dynamics and adaptronics


Lectures: 2h

Exercises: 2h



- Seminar paper (25%)



60


60


Homework [h] 15

Credit points: 6



Extended knowledge in adaptive mechanical systems, advanced control methods and their application for the active control of structures.

Content:

Advanced methods for the control of adaptive mechanical systems are introduced in the course. This involves the recapitulation of the fundamentals of active structural control and an extension to advanced control. Observer design is introduced as a tool for the estimation of system states. In addition to numerical modelling using the finite element approach, system identification is explained as an experimental approach. Theoretical backgrounds of the experimental structural modal analysis are introduced along with the terms and definitions used in signal processing. Experimental modal analysis is explained using the Fast Fourier Transform. Advanced closed loop control methods involving optimal discrete-time control, introduction of additional dynamic approaches for the compensation of periodic excitations and basic adaptive control algorithms are explained and pragmatically applied for solving problems of vibration suppression in civil and mechanical engineering.

Forms of media: Blackboard and beamer presentations, computer exercises, practical experimental exercises

Literature: Preumont A.: Vibration Control of Active Structures: An Introduction, Kluwer Academic Publishers, Dordrecht, Boston, London, 1997

Vaccaro R. J.: Digital Control: A State-Space Approach, McGraw-Hill, Inc., 1995

Van Overschee P., De Moor B.: Subspace Identification for Linear Systems: Theory, Implementation, Applications, Kluwer Academic Publishers, Boston 1996

Meirovitch L.: Dynamics and control of structures, Wiley 1990

Lecture notes Advanced control methods for adaptive mechanical systems, T. Nestorović



Module name: CE-WP14: Computational Wind Engineering


CWE


-

Module Coordinator(s): Prof. Dr.-Ing. R. Höffer



This course is not offered in any other study program.


Computational Wind Engineering


Lecturer(s): Prof. Dr.-Ing. R. Höffer, Assistants

Language: English

Requirements: CE-P04, CE-P06, recommended: CE-WP05


Lectures: 1h

Exercises: 1h





30


30

Seminar papers [h] Benchmark studies on the computation of wind fields, wind pressures at surfaces, and dispersion problems in the built environment using the program systems ANSYS CFX and OpenFoam, individual or group work upon agreement with the lecturers, 30 h.

Homework [h] -

Credit points: 3



The students acquire advanced skills of the application of CFD methods for the computation of wind engineering problems such as the computation

of mean wind parameters and turbulence characteristics for the assessment of local wind climates (incl. wind farm locations),

of wind pressures at surfaces for the determination of wind loads at structures, and

of gaseous transport in the atmospheric boundary layer for the prediction of the dispersion of exhausts and particles

The students shall be enabled to assess the available numerical tools and to solve the relevant technical problems by choosing the appropriate CFD method.

Content:

Details and guidelines about the application of CFD methods in wind engineering are introduced and studied. Related problems, which are relevant for practical applications, and solution procedures are investigated. The lectures and exercises cover the following topics:

Short review of boundary layer turbulence and the Navier-Stokes equations

Turbulence models for the implementation on computations for mean wind quantities: k-ε-models, k-ω-models and derivatives

Implementation of turbulence for time resolved computations: Large-eddy simulation, concept of DNS

Isotropic turbulence and turbulence in a boundary layer flow

Mesh generation strategies and introduction to the mesh generator ICEM

Introduction to solver applications using the program systems ANSYS CFX and OpenFoam

Within the scope of the exercises, the students are guided to working out assessment and solution strategies for related, typical technical problems in wind engineering.

Forms of media: Blackboard, beamer, visit to CIP-Pool and guided introduction to program systems; exercises with examples; regular consultations with discussions of homework

Literature: Höffer, R. et al.: Lecture Notes

ANSYS-CFX Solver Theory Guide, Release 12.0, 2009. ANSYS Inc. Canonsburg, PA 15317

Chung, T. J., Computational Fluid Dynamics, Cambridge University press, 2002

Ferziger, J. H., Perić, M, Computational Methods for Fluid Dynamics. 3. rev. ed., Springer, Berlin 2002

Franke, J., 2007. Introduction to the prediction of wind loads on buildings by Computational Wind Engineering (CWE). In C.C Baniotopoulos, T. Stathopoulos (eds.), Wind effects on buildings and design of wind-sensitive structures. Springer, Berlin

von Eckart, L., Oertel, H., Numerische Strömungsmechanik, Grundgleichungen und Modelle – Lösungsmethoden – Qualität und Genauigkeit, Verlag Vieweg+Teubner, 2009



Module name: CE-WP15: Design Optimization

Abbreviation, if appli-cable:

DO

Sub-heading, if appli-cable:

-




Master course Civil Engineering (KIB-Structural Engineering, KIB-Computational Mechanics), optional, 3rd Semester

Master course Applied Computer Sciences (Computer Science for Industry and Management), optional, 3rd Semester


Design Optimization


Lecturer(s): Prof. Dr.-Ing. M. König, Dr.-Ing. K. Lehner, Assistants

Language: English

Requirements: -


Lectures: 2h

Exercises: 2h


Written examination / 120 minutes (100%)



60


120


Homework [h] -

Credit points: 6



Goals are the acquisition of skills in design optimization and the ability to model, solve and evaluate optimization problems for moderately complex technical systems. The programming project increases the social skills that are necessary to successfully complete a team project. Also, the programming project allows students to transfer theoretical knowledge gained from the lecture into practical solutions solved with software.

Content:

Introduction: Definition of optimization problems

Design as a process: Conventional design, optimization as a

design tool

Optimization from a mathematical viewpoint: Numerical

approaches, linear optimization, convex domains, partitioned

domains

Categories of opt. variables: Explicit design variables, synthesis

and analysis, discrete and continuous variables, shape variables

Dependant design variables

Realization of constraints: Explicit and implicit constraints,

constraint transformation, equality constraints

Optimization criterion: Objectives in structural engineering

Application of design optimization in structural engineering:

trusses and beams, framed structures, plates and shells, mixed

structures

Solution techniques: Direct and indirect methods, gradients,

Hessian Matrix, Kuhn-Trucker conditions

Team Programming Project in Design Optimization (seminar

paper)

Forms of media: PowerPoint slides, animations, black board usage.

Literature: Lecture notes in German and English, available online „Design“ by J. Arora, Mc GrawHill



Module name: CE-WP16: Parallel Computing


PC


-



Master of Science course Computational Engineering:

compulsory optional course.

Master course Civil Engineering (KIB-Structural Engineering, KIB-

Computational Mechanics), optional, 3rd Semester

Master course Applied Computer Sciences (Computer Science for

Industry and Management), optional, 1st Semester


Parallel Computing


Lecturer(s): Prof. Dr.-Ing. M. König , Dr.-Ing. K. Lehner, Assistants

Language: English

Requirements: Modern Programming Concepts in Engineering


Lectures: 2h

Exercises: 2h


Homework (Presentation) - 100%



60


-


Homework [h] 120 h

Credit points: 6



The goal is the acquisition of knowledge and skills of constructing parallel algorithms, and of implementing parallel computational methods of engineering practice on various contemporary parallel computers.

Content:

* Introduction to parallel computing o Examples of simple parallel computational problems

* Concepts of parallel computing o Levels of parallelism o Interconnection networks o Parallel computer architectures o Operating systems o Interaction of parallel processes o Parallel programming with shared memory and

distributed memory * Performance of parallel computing: speedup, efficiency, redundancy, utilization * Parallel programming for shared memory using the programming interfaces OpenMP in Fortran and C/C++, and JOMP in Java * Parallel programming for distributed memory with the programming interfaces MPI in Fortran and C/C++, and mpiJava in Java

Forms of media: PowerPoint-presentations, for students available on the internet (Blackboard), classroom board and overhead

Literature: A. Jennings, Matrix Computation for Engineers and Scientists, J. Wiley and Sons, Chichester, England, 1977.

M. Papadrakakis (Editor), Solving Large Scale Problems in chanics, J. Wiley and Sons, Chichester, England, 1993.

OpenMP Application Program Interface, Version 2.5, ©1997 – 2005, OpenMP Architecture Review Board, May 2005. OpenMP Application Program Interface, Version 3.0, ©1997 – 2008, OpenMP Architecture Review Board, May 2008. J.M. Bull, M.E. Kambites, JOMP – an OpenMP-like Interface for Java, Edinburgh Parallel Computing Centre (EPCC), University of Edinburgh, Mayfield Road, Edinburgh EH9 3JZ, Scotland, U.K., 2000. ([email protected])

M. Snir, S. Otto, S. Huss-Lederman, D. Walker, and J. Dongarra, MPI: The Complete Reference, The MIT Press, Cambridge, Massachusetts, London, England, 1996.

Carpenter, B., Fox, G., Ko, S.-M., Lim S., mpiJava 1.2: API specification, Northeast Parallel Architectures Center, Syracuse University, Syracuse, New York 13244-410, 2000. {debc, gcf, shko, slim}npac.syr.edu

mailto:[email protected]



Module name: CE-WP17: Adaptive Finite Element Methods


AFEM


-

Module Coordinator(s): Prof. Dr. R. Verfürth





Adaptive Finite Element Methods


Lecturer(s): Prof. Dr. C. Kreuzer, NN (Fakultät für Mathematik)

Language: English

Requirements: Basic knowledge of: partial differential equations and their variational formulation, finite element methods, numerical methods for the solution of large linear and non-linear systems of equations


Lecture: 2h

Exercise: 2h





60


90


Homework [h] 30

Credit points: 6



Students should become familiar with advanced finite element methods for the numerical solution of differential equations and of advanced solution techniques for the resulting discrete problems in particular multigrid techniques

Content:

1st week: Introduction

Need for efficient solvers; drawbacks of classical solvers; need for error estimation; drawbacks of classical a priori error estimates; need for adaptivity; outline

2nd week – 4th week: Notation

Model differential equations; variational formulation; Sobolev spaces, their norms and properties; finite element partitions and basic assumptions; finite element spaces; review of most important examples; review of a priori error estimates

5th – 6th week: Basic a posteriori error estimates

Equivalence of error and residual; representation of the residual; upper bounds on the residual; lower bounds on the residual; local and global bounds; review of general structure; application to particular examples

7th week: A catalogue of error estimators

Residual estimator; estimators based on local problems with prescribed traction; estimators based on local problems with prescribed displacement: hierarchical estimates; estimators based on recovery techniques; equilibrated residuals; comparison of estimators

8th week: Mesh adaptation

General structure of adaptive algorithms; marking strategies; subdivision of elements; avoiding hanging node; convergence of adaptive algorithms

9th -10th week: Data structures

Local and global enumeration of elements and nodes; enumeration of edges and faces; neighbourhood relation; hierarchy of grids; refinement types; derived structures for higher order elements and for matrix assembly

11th – 12th week: Stationary iterative solvers

Review of classical methods and of their drawbacks; taking advantage of adaptivity; conjugate gradients; need for preconditioning; suitable preconditioners

13th – 14th week: Multigrid methods

Why do classical methods fail; spectral decomposition of errors and consequences for iterative solutions; multigrid idea; generic structure of multigrid algorithms; basic ingredients of multigrid algorithms; role of smoothers; examples of suitable smoothers



Literature: Lecture Notes are available online at: http://www.rub.de/num1/files/lectures/AdaptiveFEM.pdf

M. Ainsworth, J. T. Oden: A Posteriori Error Estimation in Finite Element Analysis. Wiley, 2000

D. Braess: Finite elements: Theory, Fast Solvers and Applications in Solid Mechanics. Cambridge University Press, 2001

R. Verfürth: A Posteriori Error Estimation Techniques for Finite Element Methods. Oxford University Press, Oxford, 2013

R. Verfürth: A review of a posteriori error estimation techniques for elasticity problems. Comput. Meth. Appl. Mech. Engrg. 176, 419 – 440 (1999)

ALF demo applet and user guide (http://www.rub.de/num1/demoappletsE.html)

http://www.rub.de/num1/files/lectures/AdaptiveFEM.pdf

http://www.rub.de/num1/demoappletsE.html



Module name: CE-WP18: Safety and Reliability of Engineering Structures


SRES


-

Module Coordinator(s): PD Dr.-Ing. habil. M. Kasperski



Master course ‘Bauingenieurwesen’, optional course, 3rd Semester


Safety and Reliability of Engineering Structures

Semester/term: 3rd Semester, WS

Lecturer(s): PD Dr.-Ing. habil. M. Kasperski

Language: English

Requirements: Basic knowledge in structural engineering


- 2 hours per week lecture

- 2 hours per week exercise



- Project work on simulation techniques (15%)



60


75


Homework [h] 45

Credit points: 6



Students should obtain the following qualifications / competences:

Basic knowledge of statistics and probability, a deeper understanding of the basic principles of reliability analysis in structural engineering, basic knowledge on how codes try to meet the reliability demands in regard to structural safety and serviceability, basic knowledge in simulation techniques.

Content:

Introduction - causes of failures

Basic definitions - safety, reliability, probability, risk

Basic demands for the design and appropriate target reliability values: Structural safety, Serviceability, Durability, Robustness

Formulation of the basic design problem: R > E

Descriptive statistics: position (mean value, median value), dispersion (range, standard deviation, variation coefficient), shape: (skewness, peakedness)

Theoretical distributions: Discrete distributions (Bernoulli and Poisson Distribution), Continuous distributions (Rectangular, Triangular, Beta, Normal, Log-Normal, Exponential, Extreme Value Distributions)

Failure probability and basic design concept

Code concept - level 1 approach

First Order Reliability Method (FORM) - level 2 approach

Full reliability analysis - level 3 approach

Probabilistic models for actions: dead load, imposed loads, snow and wind loads, combination of loads

Probabilistic models for resistance: cross section - structure

Further basic variables: geometry, model uncertainties

Non-linear methods and Monte-Carlo Simulation

Forms of media: Blackboard and overhead

Literature: Melchers, R.E. Structural reliability, analysis and prediction J. Wiley & Sons, New York, 1999 (2nd ed.), ISBN 0471983241



Module name: CE-WP19: Numerical Simulation of Fracture Materials


CFM


-

Module Coordinator(s): Prof. Dr.-Ing. A. Hartmaier




Master course “Materials Science and Simulation”: optional course, 3rd Semester.


Numerical Simulation of Fracture Materials


Lecturer(s): Prof. Dr.-Ing. A. Hartmaier

Language: English



Lectures: 2h Exercises: 2h

Study/exam achievements: Written examination / 120 minutes (100%)



60


60


Homework [h] 60

Credit points: 6



The students should obtain the ability to independently simulate fracture including plasticity for a wide range of materials and geometries as well as the faculty to use conventional fracture mechanics to make estimates of fracture growth. Further they should learn about the physical background of fracture. The students will develop the skills to operate the essential computational tools to simulate problems of material failure independently.

Content:

Overview of continuum mechanics, especially plasticity

Classical fracture mechanics

Finite element based fracture simulations

Fracture on the atomic scale (cohesive energy as function of

the separation)

Concept of cohesive zones (CZ)

Concept of eXtended Finite Element Method (XFEM)

Application of XFEM / CZ in „Abaqus“

Application to brittle and ductile fracture of different

geometries

Forms of media: Personal computer, blackboard, beamer presentations

Literature: H.L. Ewalds and R.J.H. Wanhill, „Fracture Mechanics”, Edward Arnold Ltd, 1984, ISBN 0713135158

D. Gross, T. Seelig, „Bruchmechanik“, Springer, 2001, ISBN 3-540-42203

T. L. Anderson, „Fracture Mechanics: Fundamentals and Applications”, CRC PR Inc., 2005, ISBN 0849316561



Module name: CE-WP20: Materials for Aerospace Applications


MAA


-






Materials for Aerospace Application

Semester/term: 3rd Semester/ WS

Lecturer(s): Prof. Dr.-Ing. M. Bartsch

Language: English

Requirements: -


Lectures: 3h

Exercises: 1h


Written examination / 120 minutes (100%)



60


120


Homework [h] -

Credit points: 6



Learning goals:

Students will gain a comprehensive overview of high performance materials for aerospace applications, which includes the established materials and material systems as well as new developments and visionary concepts. They understand how materials and material systems are designed to be ‘light and reliable’ under extreme service conditions such as fatigue loading, high temperatures, and harsh environments. The students will know about degradation and damage mechanisms and learn how characterization and testing methods are used for qualifying materials and joints for aerospace applications. They learn about concepts and methods for lifetime assessment.

Competences:

General understanding of procedures in selecting and developing material systems for aerospace applications; overview of manufacturing technologies and characterization methods for qualifying materials and joints for aerospace applications; understanding of methods for the evaluation of material systems for aerospace applications

Content:

The substantial requirements on materials for aerospace applications are „light and reliable“, which have to be fulfilled in most cases under extreme service conditions. Therefore, specifically designed materials and material systems are in use. Furthermore, joining technologies play an important role for the weight reduction and reliability of the components. Manufacturing technologies and characterization methods for qualifying materials and joints for aerospace applications will be discussed. Topics are:

Loading conditions for components of air- and spacecrafts (structures and engines)

Development of materials and material systems for specific service conditions in aerospace applications (e.g. for aero-engines, rocket engines, thermal protection shields for reentry vehicles, light weight structures for airframes, wings, and satellites)

Degradation and damage mechanisms of aerospace material systems under service conditions

Characterization and testing methods for materials and joints for aerospace applications

Concepts and methods for lifetime assessment


Literature: script



Module name: CE-WP21: Energy Methods in Material Modelling


EMMM


-




Master course “Materials Science and Simulation”: optional course, 3rd Semester.


Energy Methods in Material Modelling


Lecturer(s): Dr.-Ing. R. Fechte-Heinen

Language: English



block course equivalent to 3 SWS





40


60


Homework [h] 20

Credit points: 4



Fundamental knowledge of energy methods in material modelling, including the underlying mathematical concepts and numerical estimates for the simulation of microstructural aspects of the material behavior of solids.

Content:

In a variety of modern engineering materials, such as shape memory alloys or multiphase steels, the transformation between different crystallographic phases is technically used to obtain outstanding material properties.

This course gives a short introduction to these phase transformation phenomena and the underlying mechanisms. Further on, the origin of multiphase microstructures is discussed against the background of energy minimization. Suitable mathematical concepts are shown which in principle allow the prediction of the microstructural and macroscopic material properties of such materials. Different approaches to numerically estimate the material behavior are given. Finally, the conveyed theoretical and numerical concepts are exemplified using micromechanical material models for shape memory alloys.

The structure of the course is as follows:

1. Introduction 1. Energy methods and material models 2. Examples:

- martensitic microstructures - shape memory alloys - multiphase steels

2. Energy minimization of phase transforming materials 1. Boundedness 2. Coercivity 3. Notions of convexity

3. Estimates of the energetically optimal microstructure 1. Quasiconvexification 2. Convexification 3. Polyconvexification 4. Rank-1-convexification

4. Example: Shape memory alloys 1. Introduction and material model 2. Convexification 3. Translation method 4. Lamination


Literature: Bhattacharya, Kaushik: Microstructure of Martensite – Why it forms and how it gives rise to the shape-memory effect. Oxford University Press, Oxford, 2003



Module name: CE-WP22: Case Study A


-


-

Module Coordinator(s): All lecturers of the course




-

Semester/term: 2nd Semester / SS or 3rd Semester / WS

Lecturer(s): Professors and Assistants of the course

Language: English

Requirements: -


The topic of a project paper is devised by a lecturer of the course or an assistant who supervises the exercises. The student - or a small group of students - conducts a project independently and presents the results in the form of a written report and optionally, an oral presentation (upon agreement with the respective lecturer).


The project paper and presentation will be graded. For this purpose, the individual achievements of the students within the project groups are separately evaluated.

The evaluation includes:

- Written project paper / 75% (100% without a final presentation)

- Final presentation / 25% (optional)

Forms of media: Independent work in seminar rooms and computer labs; testing plants, where applicable.



-


-

Credit points: 3



Project work allows students to work on a problem individually or in small groups. Project groups organize and Coordinate the assignment of tasks independently, while the lecturers take the role of both an advisor and supervisor of the respective project. Further, they check the students’ results at regular intervals. After completion of the project, the students should present their results before the class. The necessity of such a presentation should, however, be agreed upon with the respective supervisor.

Project work serves to qualify students to structure Computational Engineering problems, to solving them in teams, and to illustrate the results in the form of a report and a presentation. After completion of the project, the students should have gathered new information and insights into the activities of practicing engineers while acquiring skills in innovative research fields. In the end, the students will be able to present technical projects, and to develop problem solution strategies and will hence also obtain worthwhile communication skills.

Contents:

The project topic is usually determined by the respective lecturer or one of his/her assistants. In addition to this, students may also conduct project work on topics defined by companies from industry or official authorities. However, the project work must be completed under the supervision of one of the course’s lecturers.

The projects are usually devised so as to integrate interdisciplinary aspects such as

o Noticing problems and describing them

o Formulating envisaged goals

o Team-oriented problem solutions

o Organizing and optimizing one's time and work plan

o Interdisciplinary problem solutions

o Literature research and evaluation as well as the consultation of experts

o Documentation, illustration and presentation of results

Literature: The relevant literature will be announced along with the project topic.


Optional Courses

W01 – W03



Module name: CE-W01: Training of Competences (Part 1)


-


-

Module Coordinator(s): Zentrum für Fremdsprachenausbildung (ZFA) der Ruhr-Universität


Master of Science course Computational Engineering: optional course, special offer for foreign students of the course.


German Language course for beginners, Training of Competences


Advisor: Lecturers of ZFA

Language: Deutsch (als Fremdsprache)

Requirements: -




- Written examination / 120 minutes



60


40


Homework [h] 20

Credit points: 4



The learning goals of this German language course fulfill the special requirements of foreign students majoring in a subject that uses English as a teaching language. The main focus of the course lies on action oriented speaking, listening, reading and writing comprehension so that the students manage more easily to cope with everyday situations of their life in Germany. With this course students reach a minimum level of all four skills (speaking, listening, reading and writing) in familiar universal contexts or shared knowledge situations such as greeting, small talk, shopping, making appointments, eating out, orientation, biography, healthcare etc.

The classes consist of small groups, ensuring that students have ample opportunity to speak as well as having their individual needs attended to.

All of our instructors are university graduates experienced in teaching DaF (Deutsch als Fremdsprache - German as a foreign language) and have been selected for their experience in working with students and their ability to make language learning an active and rewarding process.

An optional intensive block course after the winter semester helps to activate and to intensify the newly acquired language skills.



Module name: CE-W02: Training of Competences (Part 2)


-


-

Module Coordinator(s): Zentrum für Fremdsprachenausbildung (ZFA) der Ruhr-Universität


Master of Science course Computational Engineering: optional course, special offer for foreign students of the course.


German Language course (higher level), Training of Competences (higher order)


Advisor: Lecturers of ZFA

Language: Deutsch (als Fremdsprache)

Requirements: Participation on CE-W01 is obligatory.




- Written examination / 120 minutes



60


40


Homework [h] 20

Credit points: 4


This module is for students who already have previous knowledge of the German language. This course continues the learning goals of module CE-W01. With the participation, the students reach a medium level of all four skills (speaking, listening, reading and writing).



Module name: CE-W03: Case Study B


-


-

Module Coordinator(s): All lecturers of the course


Master of Science course Computational Engineering: optional course.


-

Semester/term: 2nd Semester / SS or 3rd Semester / WS

Lecturer(s): Professors and Assistants of the course

Language: English

Requirements: -


The topic of a project paper is formulated by a lecturer of the course or an assistant who supervises the exercises. The student - or a small group of students - conducts a project independently and presents the results in the form of a written report and optionally, an oral presentation (upon agreement with the respective lecturer).


The project paper and presentation will be graded. For this purpose, the individual achievements of the students within the project groups are separately evaluated.

The evaluation includes:

- Written project paper / 75% (100% without a final presentation)

- Final presentation / 25% (optional)

Forms of media: Independent work in seminar rooms and computer labs; testing plants, where applicable.



-


-

Credit points: 3



Project work allows students to work on a problem individually or in small groups. Project groups organize and Coordinate the assignment of tasks independently, while the lecturers take the role of both an advisor and supervisor of the respective project. Further, they check the students’ results at regular intervals. After completion of the project, the students should present their results before the class. The necessity of such a presentation should, however, be agreed upon with the respective supervisor.

Project work serves to qualify students to structure Computational Engineering problems, to solving them in teams, and to illustrate the results in the form of a report and a presentation. After completion of the project, the students should have gathered new information and insights into the activities of practicing engineers while acquiring skills in innovative research fields. In the end, the students will be able to present technical projects, and to develop problem solution strategies and will hence also obtain worthwhile communication skills.

Contents:

The project topic is usually determined by the respective lecturer or one of his/her assistants. In addition to this, students may also conduct project work on topics defined by companies from industry or official authorities. However, the project work must be completed under the supervision of one of the course’s lecturers.

The projects are usually devised so as to integrate interdisciplinary aspects such as

o Noticing problems and describing them

o Formulating envisaged goals

o Team-oriented problem solutions

o Organizing and optimizing one's time and work plan

o Interdisciplinary problem solutions

o Literature research and evaluation as well as the consultation of experts

o Documentation, illustration and presentation of results

Literature: The relevant literature will be announced along with the project topic.


Master Thesis



Module name: CE-M: Master Thesis


-

Module co-ordinator(s): All lecturers of the course


Master of Science course Computational Engineering: Compulsory


-

Semester/term: 4th semester / SS

Advisor: Professors, Docents and experienced Assistants of the course together with a Professor or Docent

Language: English

Requirements: Students can start their master’s thesis if six from seven compulsory courses have successfully been completed and a minimum of 70 credits has been collected.


Master Thesis / Presentation of 30 Minutes (obligatory)


Required: a research report (around 80-100 pages), supervised by the respective advisor, which describes a detailed research investigation and its results. Further more an oral presentation of the results is obligatory.

Workload [h / CP]: 900 / 30

thereof face-to-face teaching [h]

-


-


Homework [h] -

Credit points: 30



With the completion of their master thesis, students acquire the ability to plan, organize, develop, operate and present complex problems in Computational Engineering.

The master thesis qualifies students to work independently in a Computational Engineering subject under the supervision of an advisor. The associated presentation serves to promote the students’ ability to deal with subject-specific problems and to present them in an appropriate and comprehensible manner.

Further, it serves to prove whether the students have acquired the profound specialised knowledge, which is required to take the step from their studies to professional life, whether they have developed the ability to deal with problems from their in-depth subject by applying scientific methods, and to apply their scientific knowledge.

Contents: The master thesis can either be theoretically, practically, constructively or organisationally-oriented. Its topic is determined by the respective supervisor.

The results should both be visualised and illustrated in writing in a detailed manner. This particularly includes a summary, an outline and a list of the references used within a specific thesis and obligatory, an oral presentation.

Documents

Anlage C - compeng.ruhr-uni-bochum.de · Antrag auf Reakkreditierung des Master-Studiengangs Computational Engineering C1 Anlage C (Seite C1 – C76) Modulhandbuch zum Masterkurs