What do we know about self-similarity in fluid turbulence?
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Publication:749376
DOI10.1007/BF01023471zbMath0712.76049MaRDI QIDQ749376
Publication date: 1989
Published in: Journal of Statistical Physics (Search for Journal in Brave)
direct numerical simulationmultifractal structurescaling exponentsdynamical self-similarityhigh-Reynolds-number fluid turbulencesmall- scale fluctuationsturbulent cascades
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems approach to turbulence (76F20)
Related Items (5)
Analysis of turbulence in the orthonormal wavelet representation ⋮ Collapsing solutions to the 3-D Euler equations ⋮ Spatial correlations in turbulence: Predictions from the multifractal formalism and comparison with experiments ⋮ Introduction to multifractals in dynamical systems theory and fully developed fluid turbulence ⋮ The multifractal nature of turbulent energy dissipation
Cites Work
- Fractal measures and their singularities: The characterization of strange sets
- Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence
- Vortex dynamics and the existence of solutions to the Navier–Stokes equations
- Analytical theories of turbulence and the ε expansion
- Some specific features of atmospheric tubulence
- A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
- Invariants for the one-point vorticity and strain rate correlation functions
- Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
- Eulerian and Lagrangian renormalization in turbulence theory
- Time-dependent scaling relations and a cascade model of turbulence
- A simple dynamical model of intermittent fully developed turbulence
- On Kolmogorov's inertial-range theories
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