Turbulence, cascade and singularity in a generalization of the Constantin-Lax-Majda equation
Fluid Dynamics
2017-07-18 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
We study numerically a Constantin-Lax-Majda-De Gregorio model generalized by Okamoto, Sakajo and Wunsch, which is a model of fluid turbulence in one dimension with an inviscid conservation law. In the presence of the viscosity and two types of the large-scale forcings, we show that turbulent cascade of the inviscid invariant, which is not limited to quadratic quantity, occurs and that properties of this model's turbulent state are related to singularity of the inviscid case by adopting standard tools of analyzing fluid turbulence.
Keywords
Cite
@article{arxiv.1707.05205,
title = {Turbulence, cascade and singularity in a generalization of the Constantin-Lax-Majda equation},
author = {Takeshi Matsumoto and Takashi Sakajo},
journal= {arXiv preprint arXiv:1707.05205},
year = {2017}
}
Comments
22 pages, 22 figures