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FINITE DIFFERENCES, FINITE ELEMENTS, FINITE VOLUMES

and BOUNDARY ELEMENTS

Proceedings of the 1st WSEAS International Conference on FINITE DIFFERENCES - FINITE ELEMENTS -

FINITE VOLUMES - BOUNDARY ELEMENTS (F-and-B'08)

Malta, September 11-13, 2008

SELECTED TOPICS in MARITIME and NAVAL SCIENCE

and ENGINEERING (MN'08)

Proceedings of the 1st WSEAS International Conference on MARITIME and NAVAL SCIENCE and ENGINEERING

(MN'08)

Malta, September 11-13, 2008

Mathematics and Computers in Science and Engineering A series of Reference Books and Textbooks

Published by WSEAS Press

www.wseas.org ISSN: 1790-2769

ISBN: 978-960-474-004-8

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FINITE DIFFERENCES, FINITE ELEMENTS, FINITE VOLUMES and BOUNDARY

ELEMENTS

Proceedings of the 1st WSEAS International Conference on

FINITE DIFFERENCES - FINITE ELEMENTS - FINITE VOLUMES - BOUNDARY ELEMENTS

(F-and-B'08)

Malta, September 11-13, 2008

SELECTED TOPICS in MARITIME and

NAVAL SCIENCE and ENGINEERING (MN'08)

Proceedings of the 1st WSEAS International Conference on MARITIME and NAVAL SCIENCE and ENGINEERING

(MN'08)

Malta, September 11-13, 2008

Mathematics and Computers in Science and Engineering A series of Reference Books and Textbooks

Published by WSEAS Press www.wseas.org

Copyright © 2008, by WSEAS Press

All the copyright of the present book belongs to the World Scientific and Engineering Academy and Society Press. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the Editor of World Scientific and Engineering Academy and Society Press.

All papers of the present volume were peer reviewed by two independent reviewers. Acceptance was granted when both reviewers' recommendations were positive.

See also: http://www.worldses.org/review/index.html

ISSN: 1790-2769

ISBN: 978-960-474-004-8

World Scientific and Engineering Academy and Society

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FINITE DIFFERENCES, FINITE ELEMENTS, FINITE VOLUMES

and BOUNDARY ELEMENTS

Proceedings of the 1st WSEAS International Conference on FINITE DIFFERENCES - FINITE ELEMENTS -

FINITE VOLUMES - BOUNDARY ELEMENTS (F-and-B'08)

Malta, September 11-13, 2008

SELECTED TOPICS in MARITIME and NAVAL SCIENCE

and ENGINEERING (MN'08)

Proceedings of the 1st WSEAS International Conference on MARITIME and NAVAL SCIENCE and ENGINEERING

(MN'08)

Malta, September 11-13, 2008

Editors:

Prof. Nikos E. Mastorakis, MIUE (ASEI), Hellenic Naval Academy, Greece Prof. Ion Carstea, University of Craiova, Romania

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International Program Committee Members of FINITE DIFFERENCES -

FINITE ELEMENTS - FINITE VOLUMES - BOUNDARY ELEMENTS (F-and-B'08):

D.B.Spalding, UK S.V.Patankar, USA B.E.Launder, UK R. Abgrall, FRANCE V. Mladenov, BULGARIA F. Alcrudo, SPAIN

C. Basdevant, FRANCE R. Borghi, FRANCE Z. Bojkovic, SERBIA F. DeVuyst, FRANCE D. Kazakos, USA G.Degrez, BELGIUM Y. Saridakis, GREECE R. Eymard, France

F. Feistauer, CZECH REPUBLIC J.M. Ghidaglia, FRANCE

M. Kawahara, JAPAN D. Kroner, GERMANY R. Lazarov, USA F. Pascal, FRANCE A. Powell, USA L. Quivy, FRANCE M. Seaid, GERMANY

E.F. Toro, ITALY J.M. Herard, FRANCE T.Gallouet, FRANCE H. Guillard, FRANCE Akbar Haghi, IRAN Qin Meng Zhao, CHINA Michael Gil', ISRAEL Vincenzo Niola, ITALY Daniela Carstea, ROMANIA Dumitru Cazacu, ROMANIA Branislav Radjenovi, SERBIA Necla Kadioglu, TURKEY Javad Abolfazli Esfahani, IRAN M Izadyar Gonabad, IRAN Arash Kiyoumarsi, IRAN Senol Ataoglu, TURKEY Maria Psaltaki, GREECE Nageswara Rao, INDIA Mahesh Shah, INDIA

Nikolai Kobasko, UKRAINE Benedek Nagy, HUNGARY Edward Kansa, USA

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International Program Committee Members of MARITIME and NAVAL SCIENCE and ENGINEERING (MN'08):

Ammeen Edward S., USA Arapostathis A., USA Babineau G., USA Cartes D., USA

Charpentier J.-F., FRANCE Davey K., USA

Desai B., USA Discenzo F., USA

Ebling G., THE NETHERLANDS Ehrhart P., GERMANY

Esteban S., SPAIN Feliziani M., ITALY Gandini A, USA

Giron-Sierra J.M., SPAIN Hauschildt P., GERMANY Hebner R., USA

Hodge C., UK

Jatskevich J., CANADA

Ka Wai Eric Cheng, HONG KONG Kwiatkowski R., USA

Maturana F, USA Murchie A., UK

Neerincx M.A., THE NETHERLANDS Nguyen T., USA

Orlovsky M., USA Ramos-Hernandez D., UK Ramνrez A., USA

Siu Lau Ho, HONG KONG Sturtevant G., USA

Thompson H., USA Vialardi E., FRANCE Vicatos M., GERMANY Weinstein R., USA Zeng R., CHINA

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Preface

This book contains the proceedings of the 1st WSEAS International Conference on FINITE DIFFERENCES - FINITE ELEMENTS - FINITE VOLUMES - BOUNDARY ELEMENTS (F- and-B'08), and the Proceedings of the 1st WSEAS International Conference on MARITIME and NAVAL SCIENCE and ENGINEERING (MN'08) which were held in Malta, September 11-13, 2008.

The friendliness and openness of the WSEAS conferences, adds to their ability to grow by constantly attracting young researchers. The WSEAS Conferences attract a large number of well- established and leading researchers in various areas of Science and Engineering as you can see from http://www.wseas.org/reports. Your feedback encourages the society to go ahead as you can see in http://www.worldses.org/feedback.htm

The contents of this Book are also published in the CD-ROM Proceedings of the Conference.

Both will be sent to the WSEAS collaborating indices after the conference:

www.worldses.org/indexes

In addition, papers of this book are permanently available to all the scientific community via the WSEAS E-Library.

Expanded and enhanced versions of papers published in this conference proceedings are also going to be considered for possible publication in one of the WSEAS journals that participate in the major International Scientific Indices (Elsevier, Scopus, EI, ACM, Compendex, INSPEC, CSA .... see: www.worldses.org/indexes) these papers must be of high-quality (break-through work) and a new round of a very strict review will follow. (No additional fee will be required for the publication of the extended version in a journal). WSEAS has also collaboration with several other international publishers and all these excellent papers of this volume could be further improved, could be extended and could be enhanced for possible additional evaluation in one of the editions of these international publishers.

Finally, we cordially thank all the people of WSEAS for their efforts to maintain the high

scientific level of conferences, proceedings and journals.

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1st WSEAS International Conference on FINITE DIFFERENCES - FINITE ELEMENTS -

FINITE VOLUMES - BOUNDARY ELEMENTS (F-and-B'08)

Table of Contents

Plenary Lecture I: Parallel Processing in Finite Element Programs for Engineering Applications

13 Ion Cârstea

Advanced Algorithms for Direct and Inverse Problems in Electrical Engineering 17 Ion Cârstea

A Computational Fluid Dynamics Investigation of Rocket Nozzle Flow for Frozen and Shifting Chemical Equilibrium

30 Marius Marmureanu and Adrian Rotariu

Numerical Simulation of Flow in Porous Medium 34

Aurel Chirita, Horia Ene, Bogdan Nicolescu and Ion Carstea

Static Behaviour of an Advanced Ultra-light Sandwich Composite Structure for a Wheel Chair

39 Florin Teodorescu, Condurache Dumitru, Grigore Stanca, Valeriu Avramescu and Raluca Magdalena Nita

On the Pre-Tensioning Technique of Pmc-Tubes for a Ultralight Wheel Chair with Applications in the Medical Technique

45 Grigore Stanca, Florin Teodorescu, Dumitru Condurache, Horatiu Teodorescu and Stefan Craciunoiu

Injection Timing and Cone angle Behavior on a Heavy duty Diesel Engine 49 M. Gorji-bandpy, D.D. Ganji and S. Soleimani

Simulations of Unsteady Turbulent Flows Using the Finite Element Method 58 Karel Frana

Shooting Method for Numerical Simulation of Free Convection Flow in Porous Medium 64 Bogdan Nicolescu, Horia Ene, Aurel Chirita and Ion Carstea

Optimization of a Large Steel Truss Structure Used in Civil Engineering, by Finite Element Method

70 Mihai Negru, Ivona Georgescu and Emil Albota

A Model of the Behaviour of Caesium-137 in Marine Environment (A Finite-Volume Method Implementation)

74 M.G. Psaltaki , H. Florou and N.C. Markatos

Investigation of Aiding Flow for Natural Convection around a Horizontal Isothermal Circular Cylinder by Finite Volume

79 H. Homayoni and M. Yaghoubi

ISSN:1790-2769 9 ISBN: 978-960-474-004-8

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Numerical Study of Mist Cooling in a Turbulent Impinging Jet 84 A. Saeedi, M. Moghiman and M.M. Heyhat

Three Dimensional Finite Element Analysis of Doubly Salient Permanent Magnet Motor with Skewed Rotor Teeth

91 Jaykumar K. Solanki, Nimit K. Sheth and Rajal H. Patel

Parallelism in Finite Element Programs 96

Ion Cârstea, Daniela Cârstea and Alexandru Adrian Cârstea

Applying an Iterative Finite Difference Method within a Dynamic Optimization Problem 103 Stefan Emet

A Numerical Study on the Effect of Explosive Reactive Armour on a Lightweight Armoured Vehicle’s Hull

107 Adrian Rotariu and Marius Marmureanu

A Finite Element Model for Numerical Analysis of Sintering 112 Daniela Cârstea, Ion Cârstea and Alexandru Adrian Cârstea

Finite Element Models of a Transmission Line for a Plane Electromagnetic Wave in a Shielding Material

117 Dumitru Cazacu and Constantin Stanescu

Sensitivity Analysis of Factors Affecting on Finite Element Analysis in Soil- Tool Interaction 122 R. Jafari

The Simulation of the Loadings Appeared in the Time of Processing through the Finite Element Method for Some of the Components of an Adjustable Modular System of Tools Guidance

128

Gheorghe Marin, Valeriu Avramescu, Grigore Stanca and Raluca Magdalena Nita

ISSN:1790-2769 10 ISBN: 978-960-474-004-8

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1st WSEAS International Conference on MARITIME and NAVAL SCIENCE and ENGINEERING

(MN'08) Table of Contents

Measurement and Modelling of Homogeneous Axisymmetric Turbulence 135 Sankha Banerjee, Oezguer Ertunc and Franz Durst

Stability of a Controlled DC Power Supply System 151

D.W. Meuldijk and R. Ross

On the Conversion of Boat Pitching into a Wave Propulsion 158 V.V. Arabadzhi

Application of an Engineering System Standard to the Design of a Small-Scale Sailing Ship 164 G. Auriol, C. Baron and S. Rochet

A Parametric Study and Optimization of Ship-Stabilization Systems 169 Osama A. Marzouk and Ali H. Nayfeh

Multiagent Systems and Wireless Sensor Networks Convergence for an Intelligent Waterway Ambient

175 Mª Del Carmen Delgado, Pablo Cortes, Luis Onieva and Alejandro Escudero

Author Index 181

ISSN:1790-2769 11 ISBN: 978-960-474-004-8

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Plenary Lecture I

Parallel Processing in Finite Element Programs for Engineering Applications

Associate Professor Ion Cârstea University of Craiova,

ROMANIA E-mail: incrst@yahoo.com

Abstract: The physical systems have the mathematical models a set of partial-derivatives equations and only in some particular assumptions we approximate them by lumped-parameter models. Although a tremendous variety of parallel numerical methods have been proposed for simulation of these systems, the most invented parallel computational strategies are largely based on the finite element (FE) and multigrid methods. The programs for the simulation of the distributed-parameter systems have an inherent parallelism when finite element method (FEM) method is used.

In many engineering applications in the area of field computation, the numerical models are based on FEM. The finite element programs have a modular form in accordance with the stages of the method: pre-processing, solution (processing) and post-processing.

The technique of dividing a large physical system into a system of components is very old and is still used extensively. In this way different components are designed in parallel by different groups of researchers or companies. It is obviously that this traditional approach can be used with parallel computers if the FEM is used for numerical models.

In this lecture we present several parallel computational strategies for the FE applications. The fact that the finite element method is central to many modern engineering simulations constitutes a real motivation for its consideration in this presentation. Another motivation is based upon some of the algorithmic issues raised by the FE method in comparison with other methods like the difference finite methods. The FE method can handle discrete meshes with an irregular or complicated distribution of points. The matrix of linear equation coefficients has not a regular, predictable structure characteristic of the finite difference method.

Another main motivation to consider the FEM is the existence of a large amount of software developed for conventional computers based on it. The justification of this large amount of software products in this area consists in the facility with which the FEM can be used to handle many physical problems described by partial differential derivatives equations.

As target examples we present practical problems from electrical engineering using coupled models. Motivations for these models are justified. Many areas of electrical engineering require the solution of problem in which the electromagnetic field equations are coupled to other partial differential equations, such as those describing thermal field, fluid flow or stress behaviour. These phenomena are described by equations that are coupled. The coupling between the fields is a natural phenomenon and only in a simplified approach the field analysis can be treated as independent problem.

As a parallel implementation of the FE programs, the domain decomposition method is presented. The domain decomposition is guided by physical considerations. Parallelism is obviously in every stage of the FE program and these parallelism facets we present in our lecture. Finally we discuss about the implementation aspects of the domain decomposition approach in the context of our target examples.

ISSN:1790-2769 13 ISBN: 978-960-474-004-8

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Brief Biography of the Speaker: The speaker is an Assoc. Professor at the Computer Engineering and Communications Department, Faculty of Automatics, Computers and Electronics, University of Craiova, Romania.

He has a BSc and MSc in Automatics from the University of Craiova, Romania. He has a Ph.D. in Automatics from the University of Ploiesti, Romania. Also, he has a BSc and MSc in Mathematics from the Natural Sciences Faculty, University of Craiova, Romania.

He was director of the research projects supported by international grants at University of Houston (USA)- 6 months (Fulbright Grant), at the University of Coimbra, Portugal – 9 months (NATO grant), at the Polytechnics of Milano, Italy- 4 months (a CNR-NATO grant). In 2004 he was invited at the Mathematics Department, University of Trento, Italy, for 2 months.

Ion Cârstea published 10 books in the area of programming languages, advanced computers and CAD of the electromagnetic devices. He is the co-author of the book FINITE ELEMENTS in WSEAS Press, 2007.

He is the author of more than 130 papers in revues, scientific journals and international conference proceedings. He is a reviewer for several WSEAS International Conferences and was a member in many international scientific committees. In the year 2007, he was Plenary speaker and chair at the WSEAS Conferences from Arcachon (France) and Venice (Italy).

His research interests include parallel algorithms for numerical simulation of the distributed-parameter systems, software products for coupled and inverse problems in engineering, domain decomposition method in the context of the finite element method.

ISSN:1790-2769 14 ISBN: 978-960-474-004-8

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Author Index F-and-B, MN 2008

Albota, E. 70

Arabadzhi, V. V. 158

Auriol, G. 164

Avramescu, V. 39, 128

Banerjee, S. 135

Baron, C. 164

Cârstea, A. A. 96, 112

Carstea, D. 96, 112

Carstea, I. 17, 34, 64, 96, 112

Cazacu, D. 117

Chirita, A. 34, 64

Condurache, D. 45

Cortes, P. 175

Craciunoiu, S. 45

Delgado, M. D. C. 175

Dumitru, C. 39

Durst, F. 135

Emet, S. 103

Ene, H. 34, 64

Ertunc, O. 135

Escudero, A. 175

Florou, H. 74

Frana, K. 58

Ganji, D.D. 49

Georgescu, I. 70

Gorji-bandpy, M. 49

Heyhat, M.M. 84

Homayoni, H. 79

Jafari, R. 122

Marin, G. 128

Markatos, N.C. 74

Marmureanu, M. 30, 107

Marzouk, O.A. 169

Meuldijk, D.W. 151

Moghiman, M. 84

Nayfeh, A. H. 169

Negru, M. 70

Nicolescu, B. 34, 64

Nita, R. M. 39, 128

Onieva, L. 175

Patel, R. H. 91

Psaltaki, M. G. 74

Rochet, S. 164

Ross, R. 151

Rotariu, A. 30, 107

Saeedi, A. 84

Sheth, N. K. 91

Solanki, J. K. 91

Soleimani, S. 49

Stanca, G. 39, 45, 128

Stanescu, C. 117

Teodorescu, F. 39, 45

Teodorescu, H. 45

Yaghoubi, M. 79

ISSN:1790-2769 181 ISBN: 978-960-474-004-8

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