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Nonlinear, Nonlocal and Fractional Turbulence Alternative Recipes for the Modeling of Turbulence

Experts of fluid dynamics agree that turbulence is nonlinear and nonlocal. Because of a direct correspondence, nonlocality also implies fractionality. Fractional dynamics is the physics related to fractal (geometrical) systems and is described by fractional calculus. Up-to-present, numerous criticis...

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Bibliographic Details
Main Authors: Egolf, Peter William, Hutter, Kolumban (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2020, 2020
Edition:1st ed. 2020
Subjects:
Geology
Engineering Fluid Dynamics
Fluid Mechanics
Nonlinear Optics
Continuum Mechanics
Thermodynamics
Differential Equations
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Reynolds Averaging of the Navier-Stokes Equations (RANS)
  • The closure problem
  • Boussinesq’s ‘constitutive law’
  • First turbulence models for shear flows
  • Review of nonlinear and nonlocal models
  • The Difference-Quotient Turbulence Model (DQTM)
  • Self-similar RANS
  • Elementary turbulent shear flow solutions
  • Thermodynamics of turbulence
  • Turbulence – a cooperative phenomenon
  • Conclusions and outlook

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