Numerical Analysis of a Corrected Smagorinsky Model
Numerical Analysis
2022-05-04 v2 Numerical Analysis
Analysis of PDEs
Abstract
The classical Smagorinsky model's solution is an approximation to a (resolved) mean velocity. Since it is an eddy viscosity model, it cannot represent a flow of energy from unresolved fluctuations to the (resolved) mean velocity. This model has recently been modified to incorporate this flow and still be well-posed. Herein we first develop some basic properties of the modified model. Next, we perform a complete numerical analysis of two algorithms for its approximation. They are tested and proven to be effective.
Cite
@article{arxiv.2201.08914,
title = {Numerical Analysis of a Corrected Smagorinsky Model},
author = {Farjana Siddiqua and Xihui Xie},
journal= {arXiv preprint arXiv:2201.08914},
year = {2022}
}
Comments
26pages,4 figures, 2 table