Abstract
This study presents a theoretical approach to fluid turbulence as an
alternative to Kolmogorov's phenomenology. The new approach uses basic
elements and concepts in dynamical systems theory and applies to a
variety of fluid models, allowing us to recover key predictions made by
the classical method. These include the number of degrees of freedom,
the dissipation wavenumber and the exponent of the power-law energy
spectrum of the inertial range. The two-dimensional magnetohydrodynamic
system at unity magnetic Prandtl number is used as an illustrative
example, with the theoretical predictions corroborated by numerical
results.
alternative to Kolmogorov's phenomenology. The new approach uses basic
elements and concepts in dynamical systems theory and applies to a
variety of fluid models, allowing us to recover key predictions made by
the classical method. These include the number of degrees of freedom,
the dissipation wavenumber and the exponent of the power-law energy
spectrum of the inertial range. The two-dimensional magnetohydrodynamic
system at unity magnetic Prandtl number is used as an illustrative
example, with the theoretical predictions corroborated by numerical
results.
| Original language | English |
|---|---|
| Pages (from-to) | 031417 |
| Number of pages | 10 |
| Journal | Fluid Dynamics Research |
| Volume | 44 |
| DOIs | |
| Publication status | Published - 23 May 2012 |
Keywords
- Dynamical systems theory
- Number of degrees of freedom
- Turbulence