Dynamical Complex Network Models of the Turbulent Cascade
arXiv:2004.01134 · doi:10.1016/j.physd.2021.132983
Abstract
Cascade models based on dynamical complex networks are proposed as models of turbulent energy cascade. Taking a simple shell model as the initial regular lattice with only nearest neighbor interactions, small world network models are constructed by adding or replacing some of the existing local interactions by nonlocal ones. The models are then evolved over time, both by solving for the shell variable for velocity using an arbitrary network generalization of the shell model evolution and by rewiring the network each time from the original lattice in regular time intervals. This results in a more intermittent time evolution with larger variations of the wave-number spectrum. It also results in an actual increase in intermittency as computed from the fitted exponents of structure functions as computed from these models. It appears that the intermittency increases as the ratio of random nonlocal connections to local nearest neighbor connections increases.
arXiv comment7 Pages, 8 figures
References in corpus (19)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Array Programming with NumPy
- The structure and function of complex networks
- The diameter of the world wide web
- Critical phenomena in complex networks
- Networks beyond pairwise interactions: structure and dynamics
- Scaling and percolation in the small-world network model
- Stations, trains and small-world networks
- Statistical Analysis of the Metropolitan Seoul Subway System: Network Structure and Passenger Flows
- Multi-body Interactions and Non-Linear Consensus Dynamics on Networked Systems
- Network Structure of Two-Dimensional Decaying Isotropic Turbulence
- Turbulence as a problem in non-equilibrium statistical mechanics
- Degree distributions of bipartite networks and their projections
- Spectral reduction: a statistical description of turbulence
- A nested polyhedra model of turbulence
- Links between dissipation, intermittency, and helicity in the GOY model revisited
- A nested polyhedra model of isotropic MHD turbulence
- Spiral chains in wavenumber space of two dimensional turbulence
- Computation of anomalous scaling exponents of turbulence from self-similar instanton dynamics