Three-Dimensional Navier-Stokes Equations for Turbulence
eBook - ePub

Three-Dimensional Navier-Stokes Equations for Turbulence

  1. 328 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Three-Dimensional Navier-Stokes Equations for Turbulence

About this book

Three-Dimensional Navier-Stokes Equations for Turbulence provides a rigorous but still accessible account of research into local and global energy dissipation, with particular emphasis on turbulence modeling. The mathematical detail is combined with coverage of physical terms such as energy balance and turbulence to make sure the reader is always in touch with the physical context. All important recent advancements in the analysis of the equations, such as rigorous bounds on structure functions and energy transfer rates in weak solutions, are addressed, and connections are made to numerical methods with many practical applications. The book is written to make this subject accessible to a range of readers, carefully tackling interdisciplinary topics where the combination of theory, numerics, and modeling can be a challenge. - Includes a comprehensive survey of modern reduced-order models, including ones for data assimilation - Includes a self-contained coverage of mathematical analysis of fluid flows, which will act as an ideal introduction to the book for readers without mathematical backgrounds - Presents methods and techniques in a practical way so they can be rapidly applied to the reader's own work

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Yes, you can access Three-Dimensional Navier-Stokes Equations for Turbulence by Luigi C. Berselli in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Fluid Mechanics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Title of Book
  2. Cover image
  3. Title page
  4. Table of Contents
  5. Copyright
  6. Dedication
  7. Preface
  8. Chapter 1 Introduction: Fundamental motivations and basic prerequisites for the mathematical analysis of turbulent flows
  9. Chapter 2 On weak and strong solutions: Analysis of two relevant classes of solutions to the NSE: theorems of existence, uniqueness, and partial (time) regularity
  10. Chapter 3 Global energy conservation: A review of sufficient conditions ensuring the energy conservation for weak solutions
  11. Chapter 4 Local energy inequality: From partial regularity to turbulence modeling
  12. Chapter 5 Numerical construction of physically reasonable solutions: Numerical methods and local energy inequality
  13. Chapter 6 Long-time behavior of the energy: The Reynolds equations and certain finite-dimensional approximations
  14. Index