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Progress in Turbulence - Fundamentals and Applications
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Non-perturbative Methods in Statistical Descriptions of Turbulence

Authors: Friedrich, Jan

  • Provides an overview of recent concepts for a possible statistical description of turbulence
  • Focuses on non-perturbative methods for the closure problem of turbulence
  • Explains why common perturbative methods such as the renormalization group of critical phenomena have not been successful
  • Discusses the roots of each method in its original field of application
  • Reflects the status quo of turbulence theory and provides an outlook on a possible solution of the closure problem
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  • Due: January 4, 2021
  • ISBN 978-3-030-51977-3
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Hardcover $149.99
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  • Due: December 7, 2020
  • ISBN 978-3-030-51976-6
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About this book

This book provides a comprehensive overview of statistical descriptions of turbulent flows. Its main objectives are to point out why ordinary perturbative treatments of the Navier–Stokes equation have been rather futile, and to present recent advances in non-perturbative treatments, e.g., the instanton method and a stochastic interpretation of turbulent energy transfer. After a brief introduction to the basic equations of turbulent fluid motion, the book outlines a probabilistic treatment of the Navier–Stokes equation and chiefly focuses on the emergence of a multi-point hierarchy and the notion of the closure problem of turbulence. Furthermore, empirically observed multiscaling features and their impact on possible closure methods are discussed, and each is put into the context of its original field of use, e.g., the renormalization group method is addressed in relation to the theory of critical phenomena. The intended readership consists of physicists and engineers who want to get acquainted with the prevalent concepts and methods in this research area.

Buy this book

eBook $109.00
price for USA in USD
  • The eBook version of this title will be available soon
  • Due: January 4, 2021
  • ISBN 978-3-030-51977-3
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $149.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: December 7, 2020
  • ISBN 978-3-030-51976-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
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Bibliographic Information

Bibliographic Information
Book Title
Non-perturbative Methods in Statistical Descriptions of Turbulence
Authors
Series Title
Progress in Turbulence - Fundamentals and Applications
Series Volume
1
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-51977-3
DOI
10.1007/978-3-030-51977-3
Hardcover ISBN
978-3-030-51976-6
Series ISSN
2661-8168
Edition Number
1
Number of Pages
X, 154
Number of Illustrations
19 b/w illustrations, 11 illustrations in colour
Topics

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