Turbulence, Coherent Structures, Dynamical Systems and Symmetry: Philip Holmes, John L Lumley, Gal Berkooz

This book offers a new approach to the modeling and analysis of turbulent flows dominated by coherent structures: the concentrated and recurrent patterns of vorticity seen in aircraft contrails, eddies behind bridge piers and the wakes of moving cars and boats. Using techniques from probability theory and nonlinear dynamics, the authors show how the governing nonlinear equations of fluid mechanics may be reduced to simpler models that provide understanding of the basic mechanisms of turbulence generation.

Turbulence has fascinated mankind and frustrated scientists for over 500 years. This book offers a new approach to the modelling and analysis of turbulent flows dominated by coherent structures, the concentrated and recurrent patterns of vorticity seen in aircraft contrails, eddies behind bridge piers, and the wakes of moving cars and boats. Using techniques from probability theory and nonlinear dynamics, the authors show how the governing nonlinear equations of fluid mechanics may be reduced to simpler models which provide understanding of the basic mechanisms of turbulence generation.