Non-perturbative Methods in Statistical Descriptions of Turbulence

1. Auflage 2021
ISBN: 978-3-030-51976-6
Verlag: Springer International Publishing

Buch, Englisch, Band 1, 164 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 436 g

Reihe: Progress in Turbulence - Fundamentals and Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Friedrich, Jan

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre

Inhaltsverzeichnis

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.