@Article{CiCP-21-149,
author = {},
title = {A Mathematical Analysis of Scale Similarity},
journal = {Communications in Computational Physics},
year = {2018},
volume = {21},
number = {1},
pages = {149--161},
abstract = {<p style="text-align: justify;">Scale similarity is found in many natural phenomena in the universe, from
fluid dynamics to astrophysics. In large eddy simulations of turbulent flows, some
sub-grid scale (SGS) models are based on scale similarity. The earliest scale similarity
SGS model was developed by Bardina et al., which produced SGS stresses with good
correlation to the true stresses. In the present study, we perform a mathematical analysis
of scale similarity. The analysis has revealed that the ratio of the resolved stress
to the SGS stress is $γ^2$ , where $γ$ is the ratio of the second filter width to the first filter
width, under the assumption of small filter width. The implications of this analysis are
discussed in the context of large eddy simulation.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.131015.110416a},
url = {http://global-sci.org/intro/article_detail/cicp/11235.html}
}