@Article{JMS-47-1,
author = {Li, Huiyuan},
title = {Hexagonal Fourier-Galerkin Methods for the Two-Dimensional Homogeneous Isotropic Decaying Turbulence},
journal = {Journal of Mathematical Study},
year = {2014},
volume = {47},
number = {1},
pages = {21--46},
abstract = {<p style="text-align: justify;">In this paper, we propose two hexagonal Fourier-Galerkin methods for the
direct numerical simulation of the two-dimensional homogeneous isotropic decaying
turbulence. We first establish the lattice Fourier analysis as a mathematical foundation. Then a universal approximation scheme is devised for our hexagonal Fourier-Galerkin methods for Navier-Stokes equations. Numerical experiments mainly concentrate on the decaying properties and the self-similar spectra of the two-dimensional
homogeneous turbulence at various initial Reynolds numbers with an initial flow field
governed by a Gaussian-distributed energy spectrum. Numerical results demonstrate
that both the hexagonal Fourier-Galerkin methods are as efficient as the classic square
Fourier-Galerkin method, while provide more effective statistical physical quantities
in general.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v47n1.14.02},
url = {https://global-sci.com/article/87841/hexagonal-fourier-galerkin-methods-for-the-two-dimensional-homogeneous-isotropic-decaying-turbulence}
}