Computational Multiscale Modeling of Fluids and Solids Theory and Ap
The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the basic physical princ
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Computational Multiscale Modeling of Fluids and Solids Theory and Applications Second Edition
Computational Multiscale Modeling of Fluids and Solids
Martin O. Steinhauser
Computational Multiscale Modeling of Fluids and Solids Theory and Applications Second Edition
123
Martin O. Steinhauser Fraunhofer Institute for High-Speed Dynamics, Ernst-Mach-Institut EMI Freiburg Germany
ISBN 978-3-662-53222-5 DOI 10.1007/978-3-662-53224-9
ISBN 978-3-662-53224-9
(eBook)
Library of Congress Control Number: 2016952512 © Springer-Verlag Berlin Heidelberg 2008, 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer-Verlag GmbH Germany The registered company address is: Heidelberger Platz 3, 14197 Berlin, Germany
To Katrin, Pia and Sven
Preface to the 2nd Edition
The first edition of Computational Multiscale Modeling of Fluids and Solids— Theory and Applications has been very successful and was well received by the computational science community worldwide, so a 2nd edition has become necessary eight years after the first edition was published. This monograph actually is the first of its kind, summarizing and presenting both the physical and mathematical foundations of the field of computational multiscale modeling, along with key algorithms and source code in a succinct way using a consistent notation. Since publication of the first edition, I have received numerous e-mail messages with positive comments on the book from researchers around the world and personal feedback from readers at many international conferences. For the second edition, the text and some of the figures have been revised and typographical errors have been corrected. Vectors are now written in boldface notation rather than using arrows for indicating that a quantity has several components in some vector space. The reason for this change is that the arrow symbol can be misleading, as a vector is very gen
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