The Statistical Dynamics of Turbulence

The crux of turbulence theory is the well-known closure problem. This central and still unresolved issue of turbulence prevents reliable predictions even on global flow behavior. This monograph introduces promising mathematical tools to shed new light on this problem and to enable the generation of simple and workable constructions and solutions for turbulent applications. Large sections of the book feature the turbulence dissipation process, the mechanism that controls growth of the energy and its transfer from large towards small-scale motions, demonstrating the great potential of the presented two-point correlation technique.

Practical applications and statistical theory of turbulence from an engineering point of view Includes supplementary material: sn.pub/extras

Klappentext

The crux of turbulence theory is the well known closure problem. This central and still unresolved issue of turbulence prevents reliable predictions even on the global flow behavior. This monograph introduces promising mathematical tools to shed new light on this problem to be able to generate simple and workable constructions and solutions for turbulent applications. Big parts of the book feature the turbulence dissipation process, the mechanism that controls growth of the energy and its transfer from large towards small-scale motions, demonstrating the great potential of the presented two-point correlation technique.

Inhalt
1 Some historical notes on the statistical dynamics of turbulence.- 2 Dynamic equations for moments.- 3 Dynamics of the turbulent dissipation rate.- 4 Velocity-pressure gradient correlations.- 5 Turbulent transport.- A Application of the two-point correlation technique for interpreting the e equation.- References.