Particle-Based Methods Fundamentals and Applications
This book contains 11 chapters written by relevant scientists in the field of particle-based methods and their applications in engineering and applied sciences. The chapters cover most particle-based techniques used in practice including the discrete elem
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Computational Methods in Applied Sciences Volume 25
Series Editor E. Oñate International Center for Numerical Methods in Engineering (CIMNE) Technical University of Catalonia (UPC) Edificio C-1, Campus Norte UPC Gran Capitán, s/n 08034 Barcelona, Spain [email protected] www.cimne.com
For other titles published in this series, go to www.springer.com/series/6899
Eugenio Oñate • Roger Owen Editors
Particle-Based Methods Fundamentals and Applications
Editors Eugenio Oñate International Center for Numerical Methods in Engineering Technical University of Catalonia (UPC) Gran Capitan 08034 Barcelona Spain [email protected]
Roger Owen Civil and Computational Engineering Centre School of Engineering Swansea University Swansea SA2 8PP, Wales, UK [email protected]
ISSN 1871-3033 ISBN 978-94-007-0734-4 e-ISBN 978-94-007-0735-1 DOI 10.1007/978-94-007-0735-1 Springer Dordrecht Heidelberg London New York
Library of Congress Control Number: 2011922136 © Springer Science+Business Media B.V. 2011 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Cover design: SPI Publisher Services Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Contents
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi Advances in the Particle Finite Element Method (PFEM) for Solving Coupled Problems in Engineering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . E. Oñate, S.R. Idelsohn, M.A. Celigueta, R. Rossi J. Marti, J.M. Carbonell, P. Ryzhakov and B. Suárez 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 The Basis of the Particle Finite Element Method . . . . . . . . . . . . . . . 2.1 Basic Steps of the PFEM . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 FIC/FEM Formulation for a Lagrangian Incompressible Thermal Fluid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1 Governing Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.2 Discretization of the Equations . . . . . . . . . . . . . . . . . . . . . . 4 Overview of the Coupled FSI Algoritm . . . . . . . . . . . . . . . . . . . . . . . 5 Generation of a New Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Identification of Boundary Surfaces . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Treatment of Contact Conditions in the PFEM . . . . . . . . . . . . . . . . . 7.1 Contact between the Fluid and a Fixed Boundary . . . . . . . 7.2 Contact between Solid-Solid Interfaces . . . . . . . . . . . . . . . 8 Model
