Mathematical and Numerical Foundations of Turbulence Models and Applications

With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulence requires tools from various s

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Tomás Chacón Rebollo Roger Lewandowski

Mathematical and Numerical Foundations of Turbulence Models and Applications

Modeling and Simulation in Science, Engineering and Technology Series Editor Nicola Bellomo Politecnico di Torino Torino, Italy Editorial Advisory Board K.J. Bathe Department of Mechanical Engineering Massachusetts Institute of Technology Cambridge, MA, USA

P. Koumoutsakos Computational Science & Engineering Laboratory ETH Zürich Zürich, Switzerland

M. Chaplain Division of Mathematics University of Dundee Dundee, Scotland, UK

H.G. Othmer Department of Mathematics University of Minnesota Minneapolis, MN, USA

P. Degond Department of Mathematics, Imperial College London, London, United Kingdom

K.R. Rajagopal Department of Mechanical Engineering Texas A&M University College Station, TX, USA

A. Deutsch Center for Information Services and High-Performance Computing Technische Universität Dresden Dresden, Germany

T.E. Tezduyar Department of Mechanical Engineering & Materials Science Rice University Houston, TX, USA

M.A. Herrero Departamento de Matematica Aplicada Universidad Complutense de Madrid Madrid, Spain

A. Tosin Istituto per le Applicazioni del Calcolo “M. Picone” Consiglio Nazionale delle Ricerche Roma, Italy

For further volumes: http://www.springer.com/series/4960

Tomás Chacón Rebollo • Roger Lewandowski

Mathematical and Numerical Foundations of Turbulence Models and Applications

Tomás Chacón Rebollo Department of Differential Equations and Numerical Analysis and Institute of Mathematics (IMUS) University of Seville Seville, Spain

Roger Lewandowski Institute of Mathematical Research of Rennes, IRMAR - UMR 6625, CNRS University of Rennes 1 Rennes, France

ISSN 2164-3679 ISSN 2164-3725 (electronic) ISBN 978-1-4939-0454-9 ISBN 978-1-4939-0455-6 (eBook) DOI 10.1007/978-1-4939-0455-6 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2014937795 Mathematics Subject Classification (2010): 76F02, 76F05, 76M55, 76F55, 76F60, 76F65, 76F40, 35Q30, 76D05, 76D99, 76M30, 35J50, 35K55, 46E35, 65M12, 65M22, 65N30, 76M25, 76-04. © Springer Science+Business Media New York 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must