Progress in Industrial Mathematics at ECMI 94

568 Pages·1996·15.158 MB·German

by  Hans Josef Pesch (auth.), Helmut Neunzert (eds.)

Progress in Industrial
Mathematics at ECMI 94
Progress in Industrial
Mathematics at ECMI 94
Edited by
Helmut Neunzert
Universittit Kaisers/alltern. Germany
mTEUBNER
~W1LEY
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Copyright © 1996 jointly by John Wiley & Sons Ud and B. O. Teubner
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Die Delltsclle Bibliotllek -CIP-Einlleusalljilallme
ECMI <8, 1994, Kalse"l:lUtenl>:
Progress in industrial mathematics at ECMI 94/ ed. by Helmut
Neunzert. -Chiche~1er ; New York; Brisbane; Toronto;
Singapore; Stuttgart; Leipzig: Wiley-Teubner, 1996
(European Consortium for Mathematics in Industry; 13)
ISBN-13: 978-3-322-82968-9 e-ISBN-13: 978-3-322-82967-2
DOl: 10.1007/978-3-322-82967-2
NE: Neunzert, HellJlut [Hrsg.); HST; European cons0l1ium for
Mathematics in Industry: European Consortium for ...
WG: 27;35 DBN 94.726917.7 96.04.03
3908 man
Britisll Library Cataloglluig in Pllblicatum Data
A cat.1logue record for this book is available from tile British Library
ISBN-13: 978-3-322-82968-9
Produced from canlera-ready copy supplied by the editor
This book is printed on acid-free paper responsibly manuf.1CIured from sustainable forestation,
for which at least two trees are planted for each one used for paper production.
Contents
Aerospace Industry 1
Introduction 2
H.-J. Pesch
Some Applications of Mathematics in Aeronautics and Perspectives (invited paper) 4
F. Coron. V. Levillain
Small Satellites for Deep Space Operation - a Challenge to Optimal Control 13
R. Callies
Numerical Computation of Optimal Ascent Trajectories with a Dynamic Pressure Limit 25
K. Chudej
Real-Time Optimisation for the Guidance of Dynamic Systems 32
M. Paus. W Grimm. K. H. Well
Time Discrete Event Systems and Time Tables 40
G.J.Olsder
Parallel Computation in Air Traffic Guidance 51
B. Kugelmann
The Numerical Investigation of the Two-dimensional Shock Wave Reflection 59
K. Kantiem. A Palczewski
Automotive Industry 67
Introduction 68
J. Hoschek
The Direct Modification of Surface Curvatures in Car Body Design (invited paper) 69
R.K.E. Andersson
The Influence of Drive Shafts and Reduction Gears on Wheel Suspension Characteristics 81
W.Matschins~
Domain Decomposition Based Solvers for Industrial Stress Analysis with Boundary Elements 88
R. Quatember. O. Steinbach. W.L. Wendland
Calculating Engineering Loads from Strain Data 96
W.D. Collins. J. Kanval. S Quegan. D. Smith. D.A. W. Taylor
Dynamic Assignment of Vehicular Traffic Dynamic in Road Networks 102
R.D.KUhne
The Mathematical Modelling of Drying Paint Layers 112
J.A. Moriarty. E.L. Terrill. S.K. Wilson
vi CONTENTS
Chemical Industry 121
Adaptive Algorithms in Dynamical Process Simulation (introduction. survey and invited paper) 122
P. Deuflhard. J. Lang. U. Nowak
A Parametic Mixed-Integer Nonlinear Programming Algorithm for Process Synthesis under
Uncertainty 138
E.N. Pistikopoulos. J. Acevedo
The Role of Computational Molecular and Material Science for the Chemical Industry 148
K. SchOffel
Modelling Reation Kinetics - an Interdisciplinary Challenge for Mathematics 159
A. Schuppert
PREDICI - A Software Package for Real-Life Polymerisation Kinetics 166
M. Wulkow
An Adaptive Galerkin Method for the PDF Transport Equation of Turbulent Flow 176
J. Frohlich. P Deuflhard
Turbulent Diffusion Flames: PDF-Modelling and Comparison to Raman/Rayleigh Measured PDFs 184
M. Kraft. Th. KIos. H. Bockhorn
Some 3-D Gas Flow Effects in Detonator Delay Elements 192
A.H.C. Norgrove. A.F. lanes. 1.A. King-Hele
Calculating the 3-D-Structure of Macromolecules by Hierarchical Domain and Function
Decomposition 200
E. Schmitt
Fast Simulation of Laser-induced Excitation of Molecules
208
C. SchUtte
Instabilities in the Extrusion of Polymers due to Spurt
216
A.G.T. Aarts. A.A.F. van de Ven
Modeling Polymer Flow Instabilities
224
J. Molenaar. R.I. Koopmans
Simulation of an Extraction Column
233
A. Ortner. T. Kronberger. W. Zulehner. H.-J. Bart
A Mathematical Model for the Dynamics of Sediments in a Pipeline
241
A. Fasano
Mathematical Simulation of Liquid Transport in Fleece
250
A. Zemitis
A Model for the Cloudiness of Fabrics
258
J. Weickert
Chip Production 267
Chip Production (introduction and survey paper) 268
P. Rentrop
Parallel Circuit Simulation on Workstation Clusters 274
U. Wever. Q. Zheng
Numerical Solution of Differential-algebraic Equations in Electric Circuit Simulation 285
M. Gunther
CONTENTS vii
The Simulation of Oscillatory Circuits: An Efficient Integration Scheme 295
C.Denk
Optimum Design of Microwave Oscillators with Minimized Phase Noise 301
W. Anzill, O. von Stryk
Construction of Bayesian Network Model for Integrated Circuits Parametric Testing 307
F. Archetti, A. Carelli, F. Stella, M. Pelizza
Efficient Algorithms for Bayesian Network: an Application to Integrated Circuit Manufacturing 317
D. Maggio, E. Fagiuoli, F. Stella, M. Pelizza
A Direct Method for the Numerical Calculation of Quasiperiodic Solutions Applied to Coupled
van der Pol Oscillators 323
K. Bernet
Hydrodynamical Models for Semiconductors 331
A.M. Anile, O. Muscato, C. Maccoru, R.M. Pidatella
Drying Flow in a Thin Film Induced by the Presence of Alcohol Vapour 341
S.B.C.M. O'Brien
Metallurgic Processes 349
Introduction 350
f. Sprekels
Electromagnetic-Hydrodynamic Coupling in the Treatment of Liquid Metal 351
O. Coulaud
Mathematical Models for the Phase Transitions in Carbon Steel 358
D.Homberg
Real-time Control of Metallurgic Processes 370
E. Laitinen
Theoretical and Numerical Aspects of Controlled Cooling of Steel Profiles (invited paper) 380
R. Lezius, F. Troltzsch
Spray-forming Aluminium Billets 389
1.A. Frigaard
Induction Heating for Three-Dimensional Axisymmetric Geometries: Modeling and Numerical
Simulation 397
f. Rappaz, M. Swierkosz
Identification of Nonlinear Heat Transfer Laws by Means of Boundary Data 405
A. Rosch .
Geodesy 413
Introduction 414
W.Freeden
Gravitational Field Determination (survey paper) 416
W. Freeden, R. Rummel, F. Sans6, H. Siinkel
Discrete Spatial Models for Fuzzy Geographical Objects 454
M. Molenaar
viii CONTENTS
Variations in Earth Rotation: Solutions of the EULER-LIOUVILLE Equation as a Boundary
Value Problem 464
H. Frohlich
Efficient Use of Algorithms for Path Optimization in GIS: Problems and Requirements 472
M. Wieser
Uniqueness Problems in Satellite Gradiometry 480
M. Schreiner
Spherical Wavelet Packets and Hs Application in Physical Geodesy 487
U. Windheuser
Applied Control 495
An Overview of Results in Iterative Learning Control 496
D.H. Owens, N. Amann, Eric Rogers
Numerical Realization of the Balanced Reduction of a Control Problem 504
W. Lang, U. Lezius
Simulation and Analysis of Random Vibration Systems 513
B. Fellenberg, J. vom Scheidt, U. Wohrl
Nonlinear Stochastic Vibrations of Vehicles 521
]. vom Scheidt, R. Wunderlich
Observers for a Generator Shaft 529
U.H. Thygesen, J. W. Hoffmann, D. Priitzel-Wolters, S. Kulig
Forward-Propagation in RBF-Networks 543
P. Lang, D. Protzel-Wolters, F. Bllrmann
Wacker Prize 555
Numerical Simulation of Electrochemical Drilling 556
M.l. Noot
PREFACE
I believe that there exist two different worlds of Mathematics: the world of
Mathematics in Industry and the world of Mathematics at Universities. Based
on a similar activity of the human mind, which we generally call doing
mathematics, they have different aims, different hierarchies of values and,
therefore, different structures. And there are only few contacts between them:
Mathematics at Universities in general follows its interior rules not caring for
the needs expressed by the exterior world; Mathematics in Industry very often
does not find enough time to watch the developments in the second world and is
exclusively driven by industrial problems. The coupling of the two worlds,
however, is necessary for both of them: industry needs ideas from academic
mathematics as a source of innovation, to improve simulations, optimisations,
quality control, etc. University mathematics needs industry as a source of exiting
problems, of jobs for their graduates, of prestige and last but not least of
additional funding.
There are some attempts to make closer contact with each other: large high
tech companies have their antennas checking new ideas for applicability - and
there are attempts at universities called Mathematics for Industry trying to find
mathematical solutions for industrial problems. However, these attempts are
quite limited: small- and medium-sized companies, for example, have no chance
to keep contact - and what academics call a solution for a problem is often far
from what industry is looking for. And still many misunderstandings exist:
university mathematics quite: often underestimates industrial mathematics with
respect to quality or depth. On the other hand university mathematics is very
often judged as useless being in an ivory tower, even if it has high practical
potential.
ECMI has always tried to bridge the gap, to avoid misunderstandings. Its
conferences, however, were still dominated by the academic point of view - the
topics were selected according to their mathematical structure (for example
"Asymptotics", "System Identification", "Wavelets and Applications", etc.) or
according to their scientific application ("Mathematical modelling in solid
mechanics", "Numerical computation of electromagnetic fields", etc.). Most of
the invited speakers came from university mathematics; participation of
industrial mathematicians was rather low.
The 1994 ECMI conference in Kaiserslautem tried a change: the topics
were defined by the industrial branches, i.e. we tried to gather mathematics which
are applied in aerospace, automotive, chemical, chip, metallurgic industry. In
x PREFACE
short: we used the structure of the industrial world as our conference structure.
Each topic had a chairman who tried to attain an appropriate representation of
mathematics in industry and mathematics for industry in order to trigger a
dialogue.
This volume is based on contributions to this conference but it cannot be
called proceedings. It does not contain all valuable contributions presented at the
conference - only those which belong to one of the selected topics and which
contribute to the completion of a survey have been included. Moreover, the
refereeing process was very strict - we had more than twice as many submitted
papers than we could accept. Finally, some of the chairmen have written
introductory remarks or papers after the conference, representing their view on
the field.
As the local organiser of the conference and as editor I wish to thank
• the chairmen of the six topics and the minisymposium: H. J. Pesch,
1. Hoschek, P. Deuflhard, P. Rentrop, J. Sprekels, W. Freeden and
P. Pratzel-Wolters.
• The ECMI members who helped us with the editorial process.
• M. Schulz-Reese for doing an immense amount of work for the
c0nference and this volume.
• The publishers P. Spuhler and I. McIntosh for encouraging us to make
the transition from the proceedings to a topical book.
The conference attracted quite a lot of attention in both worlds of mathematics, it
helped to establish a number of fruitful cooperations. We hope that this book,
which is a consequence but not a record of this conference, accomplishes the
same.
Kaiserslautem, summer 1995 Helmut Neunzert
Aerospace Industry
(Chairman: H.-J. Pesch)