Homogeneous Isotropic Fluid Turbulence Simulated with the Lattice Vortex Tube Model

TL;DR

This paper introduces a lattice vortex tube model to simulate fully developed turbulence, successfully reproducing key experimental features, local probability distributions, and vortex structures with reduced computational resources.

Contribution

The authors present a novel lattice vortex tube model that captures turbulence characteristics efficiently, offering a computationally less intensive alternative to traditional methods.

Findings

Reproduces Kolmogorov's inertial range

Local velocity distributions are Gaussian-like

Vortex tube structures are observed

Abstract

Fully developed turbulence is analised with the lattice model employing vortex tube representation which is introduced recently by the authors. Several characteric features observed in experiments and direct numeric integrations are reproduced. Not only Kolmogorov's inertial range is observed, but also several local probability distribution functions are obtained as well. Those of the local velocities are close to the Gaussian and exponential-like distributions appear in local vorticity, relative velocities and local velocity consisting of only higher wave number components. Coherent structure of vortex tubes is seen, too. Moreover required cpu-time and memory-size are very little comparing with the conventional pseudo-spectral method. keywords : fluid turbulence, vortex tube, lattice model, numerical technic.