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

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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 (Author), Hutter, Kolumban (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2020.
Edition:1st ed. 2020.
Subjects:
Fluids.
Statistical physics.
Fluid mechanics.
Partial differential equations.
Thermodynamics.
Hydrogeology.
Fluid- and Aerodynamics.
Applications of Nonlinear Dynamics and Chaos Theory.
Engineering Fluid Dynamics.
Partial Differential Equations.
Electronic books.
Online Access:Connect to the full text of this electronic book
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.