Non-perturbative Methods in Statistical Descriptions of Turbulence

Jan Friedrich (Autor)

Buch | Hardcover

XI, 164 Seiten

2020
Springer International Publishing (Verlag)
978-3-030-51976-6 (ISBN)

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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 wantto get acquainted with the prevalent concepts and methods in this research area.

Introduction.- Basic Properties of Hydrodynamic Turbulence.- Statistical Formulation of the Problem of Turbulence.- Overview of Closure Methods for the Closure Problem of Turbulence.- Non-Perturbative Methods.- Outlook.

Erscheinungsdatum	27.09.2020
Reihe/Serie	Progress in Turbulence - Fundamentals and Applications
Zusatzinfo	XI, 164 p. 53 illus., 11 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	390 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik
Schlagworte	Complexity • fluid- and aerodynamics • Fruednabb-Keller Hierarchy • Hydrodynamic turbulence • Instanton Method • Lundgren-Monin-Novikov Hierarchy • Perturbative Methods • Renormalization Methods • Spectral Energy Transfer • Turbulent Fluid Motion
ISBN-10	3-030-51976-7 / 3030519767
ISBN-13	978-3-030-51976-6 / 9783030519766
Zustand	Neuware