E-Book Overview
I strongly recommend this book to anyone interested in applying SPAM/SPH to problems in continuum mechanics. It is a great starting point from which to explore the expansive literature on this (relatively) new numerical technique. The style is refreshingly clear and direct. Some readers may not like the simple mathematical notion (for example notation to differentiate rank of tensors is dispensed with in favour of the rank being implied), however I myself found that the equations were quite clear in the context of the accompanying text. More of a journey than a reference, the book is littered with the beginnings of many mini, and not so mini research projects.
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ADVANCED SERIES NONLINEAR VOLUME IN DYNAMICS 25 The State of the Art William Graham Hoover World Scientific Smooth Particle Applied Mechanics The State of the Art ADVANCED SERIES IN NONLINEAR DYNAMICS* Editor-in-Chief: R. S. MacKay (Univ. Warwick) Published Vol. 6 Renormalization in Area-Preserving Maps R. S. MacKay Vol. 7 Structure & Dynamics of Nonlinear Waves in Fluids eds. A. Mielke & K Kirchgassner Vol. 8 New Trends for Hamiltonian Systems & Celestial Mechanics eds. J. Llibre & E. Lacomba Vol. 9 Transport, Chaos and Plasma Physics 2 S. Benkadda, F. Doveil & Y. Elskens Vol. 10 Renormalization and Geometry in One-Dimensional and Complex Dynamics Y.-P. Jiang Vol. 11 Rayleigh-Benard Convection A. V. Getting Vol. 12 Localization and Solitary Waves in Solid Mechanics A. R. Champneys, G. W. Hunt & J. M. T. Thompson Vol. 13 Time Reversibility, Computer Simulation, and Chaos W. G. Hoover Vol. 14 Topics in Nonlinear Time Series Analysis - With Implications for EEG Analysis A. Galka Vol. 15 Methods in Equivariant Bifurcations and Dynamical Systems P. Chossat & R. Lauterbach Vol. 16 Positive Transfer Operators and Decay of Correlations V. Baladi Vol. 17 Smooth Dynamical Systems M. C. Irwin Vol. 18 Symplectic Twist Maps C. Gole Vol. 19 Integrability and Nonintegrability of Dynamical Systems A. Goriely Vol. 20 The Mathematical Theory of Permanent Progressive Water-Waves H. Okamoto & M. Shop Vol. 21 Spatio-Temporal Chaos & Vacuum Fluctuations of Quantized Fields C. Beck Vol. 22 Energy Localisation and Transfer eds. T. Dauxois, A. Litvak-Hinenzon, R. MacKay & A. Spanoudaki Vol. 23 Geometrical Theory of Dynamical Systems and Fluid Flows T. Kambe *For the complete list of titles in this series, please write to the Publisher. ADVANCED SERIES NONLINEAR IN DYNAMICS VOLUME 25 Smooth Particle Applied Mechanics The State of the Art William Graham Hoover University of California & Great Basin College, USA \fc World Scientific N E W JERSEY • L O N D O N • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • T A I P E I • C H E N N A I Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. Advanced Series in Nonlinear Dynamics — Vol. 25 SMOOTH PARTICLE APPLIED MECHANICS The State of the Art Copyright © 2006 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a