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Mathematical and Numerical Foundations of Turbulence Models and Applications

  • Tomás Chacón Rebollo
  • Roger Lewandowski

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 1-6
  3. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 7-44
  4. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 45-81
  5. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 83-114
  6. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 115-153
  7. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 155-201
  8. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 203-246
  9. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 247-316
  10. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 317-353
  11. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 355-391
  12. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 393-416
  13. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 417-444
  14. Tomás Chacón Rebollo, Roger Lewandowski
    Pages 445-480
  15. Back Matter
    Pages 481-517

About this book

Introduction

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 scientific disciplines, including mathematics, physics, engineering, and computer science.

Authored by two experts in the area with a long history of collaboration, this monograph provides a current, detailed look at several turbulence models from both the theoretical and numerical perspectives. The k-epsilon, large-eddy simulation, and other models are rigorously derived and their performance is analyzed using benchmark simulations for real-world turbulent flows.

Mathematical and Numerical Foundations of Turbulence Models and Applications is an ideal reference for students in applied mathematics and engineering, as well as researchers in mathematical and numerical fluid dynamics. It is also a valuable resource for advanced graduate students in fluid dynamics, engineers, physical oceanographers, meteorologists, and climatologists.

Keywords

Finite element methods Functional analysis K-epsilon model Large eddy simulation models Mathematical fluid dynamics Navier-Stokes equations Numerical analysis Numerical simulations Turbulence modeling Wall laws

Authors and affiliations

  • Tomás Chacón Rebollo
    • 1
  • Roger Lewandowski
    • 2
  1. 1.Department of Differential Equations and Numerical Analysis and Institute of Mathematics (IMUS)University of SevilleSevilleSpain
  2. 2.Institute of Mathematical Research of Rennes, IRMAR - UMR 6625, CNRSUniversity of Rennes 1RennesFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-0455-6
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Birkhäuser, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-0454-9
  • Online ISBN 978-1-4939-0455-6
  • Series Print ISSN 2164-3679
  • Series Online ISSN 2164-3725
  • Buy this book on publisher's site