1. One-dimensional hydrodynamic model generating a turbulent cascade.
- Author
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Takeshi Matsumoto and Takashi Sakajo
- Subjects
- *
MATHEMATICAL models of hydrodynamics , *CASCADES (Fluid dynamics) , *INTERMITTENCY (Nuclear physics) , *VORTEX motion - Abstract
As a minimal mathematical model generating cascade analogous to that of the Navier-Stokes turbulence in the inertial range, we propose a one-dimensional partial-differential-equation model that conserves the integral of the squared vorticity analog (enstrophy) in the inviscid case. With a large-scale random forcing and small viscosity, we find numerically that the model exhibits the enstrophy cascade, the broad energy spectrum with a sizable correction to the dimensional-analysis prediction, peculiar intermittency, and self-similarity in the dynamical system structure. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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