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Non-perturbative methods in statisti...

Friedrich, Jan.

Non-perturbative methods in statistical descriptions of turbulence

Record Type:	Electronic resources : Monograph/item
Title/Author:	Non-perturbative methods in statistical descriptions of turbulenceby Jan Friedrich.
Author:	Friedrich, Jan.
Published:	Cham :Springer International Publishing :2021.
Description:	xi, 164 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	TurbulenceMathematical models.
Online resource:	https://doi.org/10.1007/978-3-030-51977-3
ISBN:	9783030519773$q(electronic bk.)

Non-perturbative methods in statistical descriptions of turbulence
Friedrich, Jan.

Non-perturbative methods in statistical descriptions of turbulence[electronic resource] /by Jan Friedrich. - Cham :Springer International Publishing :2021. - xi, 164 p. :ill., digital ;24 cm. - Progress in turbulence - fundamentals and applications,v.12661-8168 ;. - Progress in turbulence - fundamentals and applications ;v.1..

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.

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.

ISBN: 9783030519773$q(electronic bk.)

Standard No.: 10.1007/978-3-030-51977-3doiSubjects--Topical Terms:

197021
Turbulence
--Mathematical models.

LC Class. No.: TA357.5.T87 / F75 2021

Dewey Class. No.: 532.0527015118

Non-perturbative methods in statistical descriptions of turbulence
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520 $a 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.
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