Non-Hydrostatic Free Surface Flows
This book provides essential information on the higher mathematical level of approximation over the gradually varied flow theory, also referred to as the Boussinesq-type theory. In this context, it presents higher order flow equations, together with their
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Oscar Castro-Orgaz Willi H. Hager
NonHydrostatic Free Surface Flows
Advances in Geophysical and Environmental Mechanics and Mathematics Series editors Kolumban Hutter, Zürich, Switzerland Holger Steeb, Stuttgart, Germany
More information about this series at http://www.springer.com/series/7540
Oscar Castro-Orgaz Willi H. Hager •
Non-Hydrostatic Free Surface Flows
123
Oscar Castro-Orgaz University of Cordoba Cordoba Spain
Willi H. Hager ETH Zurich Zürich Switzerland
ISSN 1866-8348 ISSN 1866-8356 (electronic) Advances in Geophysical and Environmental Mechanics and Mathematics ISBN 978-3-319-47969-9 ISBN 978-3-319-47971-2 (eBook) DOI 10.1007/978-3-319-47971-2 Library of Congress Control Number: 2016954540 © Springer International Publishing AG 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 International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
We would like to dedicate this work to: Oscar’s wife Elena, and his sons Jaime (7 years), Matias (6 years) and Pablo (1 year). Their lovely support, and steady smiles to Oscar every morning when all the family wakes up, constantly gave him the fresh energy to successfully convey this project. Willi’s wife Susanna and their three daughters Olivia, Mirjam, and Caren, who have contributed to this work by their support and constant encouragement. Oscar Castro-Orgaz and Willi H. Hager
Preface
The computation of unsteady free surface flows has an important place in disciplines such as civil, environmental, and coastal engineering, given the need to solve real-life problems associated with this fascinating type of hydraulic motion. During the past decades, their three-dimensional (3D) computation using RANS and LES models gained impulse, permitting an accurate numerical solution of complex hydraulic flows. These numerical solutions are usually coupled in a hybri
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