European Consortium for Mathematics in Industry M. Brj1Sns, M. P. BendSj1Se and M. P. Sj1Srensen (Eds.) Progress in Industrial Mathematics at ECMI 96 European Consortium for Mathematics in Industry Edited by Leif Arkeryd, Goteborg Heinz Engl, Linz Antonio Fasano, Firenze Robert M. M. Mattheij, Eindhoven Pekka Neittaanmald, JyvaskyHi Helmut Neunzert, Kaiserslautern Within Europe a number of academic groups have accepted their responsibility towards European industry and have proposed to found a European Consor tium for Mathematics in Industry (ECMI) as an expression of this responsi bility. One of the activities of ECMI is the publication of books, which reflect its general philosophy; the texts of the series will help in promoting the use of mathematics in industry and in educating mathematicians for industry. They will consider different fields of applications, present casestudies, introduce new mathematical concepts in their relation to practical applications. They shall also represent the variety of the European mathematical traditions, for example practical asymptotics and differential equations in Britian, sophisti cated numerical analysis from France, powerful computation in Germany, novel discrete mathematics in Holland, elegant real analysis from Italy. They will demonstrate that all these branches of mathematics are applicable to real problems, and industry and universities in any country can clearly benefit from the skills of the complete range of European applied mathematics. Progress in Industrial Mathematics at ECMI 96 Edited by Morton Br(2Sns, Martin Philip Bends(2Se and Mads Peter S(2Srensen Technical University of Denmark Lyngby / Copenhagen, Denmark m B. G. Teubner Stuttgart 1997 Die Deutsche Bibliothek - CIP-Einheitsaufnahme ECMI < 9, 1996, Lyngby-Tarbaek > : Progress in industrial mathematics at ECMI 96 [European Consortium for Mathematics in Industry]. Ed. by Morton Brjiins ... - Stuttgart : Teubner, 1997 ISBN 978-3-322-96689-6 ISBN 978-3-322-96688-9 (eBook) DOI 10.1007/978-3-322-96688-9 © Copyright 1997 by B. G. Teubner Stuttgart Softcover reprint of the hardcover I st edition 1997 All rights reserved No part of this book may be reproduced by any means, or transmitted, or translated into a machine language without the written permission of the publisher. Cover design by Peter pritz, Stuttgart. Preface In the last week of June 1996 the 9th conference of the European Consortium for Math ematics Industry, ECMI 96, took place at the Technical University of Denmark. The present volume of papers is a selection among the almost 200 contributions to the con ference. As a logo on the announcements of the conference the organising committee chose a picture of the connection between Denmark and Sweden which is currently under construction. We chose this picture primarily because of the elegant and decorative lines of the bridge, but for other reasons as well: Denmark is a country of islands, and the art of building bridges has a long tradition here. Danish civil engineers have built bridges all over the world and have been rated among the most competent experts in their field. Many have acted as consultants as well as professors at the Technical University of Denmark, and one of them once said: To build a bridge you need steel and mathematics. We think that this selection of papers with its broad spectrum of industrial top ics proves that the importance of mathematics is continuously growing. Mathematics has penetrated subjects far beyond traditional engineering applications and in more and more places it becomes natural to add mathematics to the list of things you obviously need to succeed. Important financial support was granted to the conference. The COWl Foundation generously supported the publication of this volume. The Thomas B. Thrige Foundation and the "Tips and Lotto" Foundation helped us invite participants from Eastern Europe. We gratefully acknowledge this indispensable help. In the spirit of the conference and of the work of ECMI in general this volume is pri marily organised around industrial topics. The volume does not give a comprehensive picture of the conference nor of European industrial mathematics in general. However, we hope we have provided you with a useful cross-section of the potentials of mathe matics in industry. Lyngby, Spring 1997 Morten Br~ns Martin Philip Bends~e Mads Peter S~rensen Contents Environmental modelling 11 A Method of Lines Approach for River Alarm Systems 12 P. Rentrop, G. Steinebach The use of bubbles in purification ponds for exhaust gases 20 I.R. Shreiber A similarity solution for light oil spreading on groundwater 27 M.I.J. van Dijke, S.E.A.T.M. van der Zee Estimation of a low pass filter for solar radiation data 35 J.L Jacobsen, H. Madsen, P. Harremoes Propagation of the low-frequency noise generated by power station water-cooling towers 43 S.P. Fisenko A Mathematical Model of a Hollow-Fibre Filter 50 A.F. Jones, J.A. King-Hele, P.T. Cardew Railway systems 58 A brief survey of wheel-rail contact: Theory. Algorithms, Applications (Invited presentation) 60 J.J. Kalker Wear profiles and the dynamical simulation of wheel-rail systems 77 M. Arnold, H. Netter Dynamic response of a periodically supported rail way track in case of a moving complex phasor excitation 85 I. Zobory, V. Zoller A mathematical treatise of periodic structures under traveling loads with an application to railway tracks 93 T. Krzyzynski, K. Popp The Bifurcation Behaviour of Periodic Solutions of Impact Oscillators 101 J.P. Meijaard Industrial processes 109 Modelling industrial processes involving infiltration in deformable porous media llO D. Ambrosi, L Preziosi Modelling the Thermal Decomposition of Chlorinated Hydrocarbons in an Ideal Turbulent Incinerator 118 M. Kraft, H. Fey, C. Procaccini, J.P. Longwell. A.F. Sarofim, H. Bockhom Mathematical model for isobaric non-isothermal crystallization of polypropylene 126 S. Mazzullo, R. Corrieri, C. De Luigi 8 Stochastic modelling and morphological features of polymer crystallization processes 135 V. Capasso, /. Gialdini, A. Micheletti Mathematical model of Deep-bed Grain Layer Drying by ventilation 143 A. Aboltins A model i)f oil Burnout from Glass Fabric 150 A. Buikis, A.D. Fitt, N. Ulanova Computing of the trajectories generated by 2D discrete model approximations ofthe dynamics of differential linear repetitive processes 158 K. Galkowski, E. Rogers, D. Owens A certain mathematical model of the glass fibre material production 166 J. Cepitis, H. Kalis Electronics, circuits and filters 175 Numerical Solutions for the Simulation of Monolithic Microwave Integrated Circuits 176 G. Hebermehl, R. Schlundt, H. Zscheile, W. Heinrich Symbolic Modelling in Circuit Simulation 184 W. Klein An extended hydrodynamic model for silicon semiconductor devices 192 O. Muscato Oscillations of a miniature single stator synchronous motor 200 W. D. Collins White Noise and Nonlinear Damping in the Two-Dimensional Model of Energy Transfer in Molecular Systems 208 P.L. Christiansen, M. Johansson, K.0. Rasmussen. Y.B. Gadidei. 1.1. Yakimenko Mathematics of Denominator-separable Multidimensional Digital Filters with Application to Image Processing 217 R. Unbehauen. X. Nie Comparison and Assessment of Various Wavelet and Wavelet Packet Based Denoising Algorithms for Noisy Data 223 F. Hess. M. Kraft. M. Richter, H. Bockhorn Ship industry 231 Hydrodynamic Design of Ship Hull Shapes by Methods of Computational Fluid Dynamics (Invited presentation) 232 H. Nowacki Superplastic Protective Structures 252 L.I. Slepyan. M. V. Ayzenberg Trial methods for nonlinear Bernoulli problem 260 K. Kdrkkiiinen. T Tiihonen A Direct (Potential Based) Boundary Element Method for the Lifting Bodies Hydrodynamic Calculation 268 B. Ganea Procedure for Free Surface Potential Flow Numerical Simulation around Ship Model Hulls using Finite Element Method (Galerkin Formulation) 275 H. Tanasescu 9 Oil industry 283 Mathematics for the oil industry: non-mathematical review and views (Invited presentation) 284 T. Gimse Discretization on general grids for general media 292 I. Aavatsmark, T. Barkve. 0. B¢e, T. Mannseth Identification of Mobilities for the Buckley-Leverett Equation by Front Tracking 298 V. Haugse Flow of waxy crude oils 306 A. Farina, L. Preziosi Modelling of Bending Effects in Oil-Water Microemulsions 314 Y.Z Povstenko Optimization in industry 323 Optimal power dispatch via multistage stochastic programming 324 M.P. Nowak, W Romisch Solving the unit commitment problem in power generation by primal and dual methods 332 D. Dentcheva, R. Gollmer; A. Moller, W Romisch, R. Schultz Optimal Trajectory and Configuration of Commuter Aircraft with Stochastic and Gradient Based Methods 340 R. Pant, C.M. Kalker-Kalkman A general multi-objective optimization program for mixed continuous/integer variables based on genetic algorithms 348 C.M. Kalker-Kalkman The optimization of natural gas liquefaction processes 356 G. Engl, H. Schmidt Genetic algorithm methodologies for scheduling electricity generation 364 C.l. Aldridge, S. McKee, l.R. McDonald Target Zone Models with Price Inertia: A Numerical Solution Method 372 I. Scheunpflug, N. Kockler Dynamics of machinery 381 Model Reduction of Random Vibration Systems 382 R. Wunderlich, l. Gruner; l. vom Scheidt On Compensation of Vibration of High-Speed Press Automatic Machine 390 A. Rodkina, V. Nosov Identification of External Actions on Dynamic Systems as the Method of Technical Diagnostics 398 Y.L. Menshikov 10 Fluids in industry 407 Capillary effects in thin films 408 S.B.G. O'Brien The Linear Stability of Channel Flow of Fluid with Temperature-Dependent Viscosity 416 D.P. Wall, S.K. Wilson Adaptive Methods in Internal and External Flow Computations 424 J. F elcfN.In, V. Doleisi Bifurcation, symmetry and parameter continuation in some problems about capillary-gravity waves 432 B. V. Loginov, S. V. Karpova, V.A. Trenogin Wacker price 441 Evolution of Sedimentation Profiles in the Transport of Coal Water Slurries through a Pipeline 442 A. Mancini Environmental modelling