Chapter 7. Turbulence

  1. Prof. Steven N. Shore

Published Online: 7 FEB 2008

DOI: 10.1002/9783527619054.ch7

Astrophysical Hydrodynamics: An Introduction, Second Edition

Astrophysical Hydrodynamics: An Introduction, Second Edition

How to Cite

Shore, S. N. (2007) Turbulence, in Astrophysical Hydrodynamics: An Introduction, Second Edition, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527619054.ch7

Author Information

  1. Dipartimento di Fisica ‘Enrico Fermi’, Università di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy

Publication History

  1. Published Online: 7 FEB 2008
  2. Published Print: 18 JUL 2007

ISBN Information

Print ISBN: 9783527406692

Online ISBN: 9783527619054



  • astrophysical hydrodynamics;
  • turbulence;
  • incompressible turbulence;
  • Kolmogorov theory;
  • time dependence of turbulence spectrum;
  • transition to turbulence;
  • compressible turbulence;
  • Lighthill process;
  • astrophysical turbulence


This chapter contains sections titled:

  • Introduction

  • Incompressible Turbulence

    • To Set the Scene

    • The Correlation Tensors and Representation of the Flows

    • Correlation Functions and What They Measure

  • Kolmogorov Theory: The Role of Dissipation

  • Time Dependence of the Turbulence Spectrum

    • Some Astrophysical Applications

  • The Transition to Turbulence

  • Compressible Turbulence: The Lighthill Process

    • The Role of Vorticity

  • More Physical Complications

    • Magnetic Fields and Supersonic Turbulence

    • Self-Gravitating Turbulence

    • Persistent Large-Scale Structures

    • Turbulent Entrainment

  • Some Observational Signatures of Astrophysical Turbulence

  • Appendix A: Stochastic Functions and Their Application to Turbulence

  • Appendix B: Stochastic Differential Equations

  • Appendix C: Fractals

  • Appendix D: Nonlinear Maps and the Transition to Chaos

  • Appendix E: A Note on Renormalization and Diagrammatic Methods