Grid Quality Measures for Iterative Convergence
Numerical Analysis
2020-10-15 v1 Numerical Analysis
Computational Physics
Fluid Dynamics
Abstract
In this paper, we discuss two grid-quality measures, F- and G-measures, in relation to iterative convergence of an implicit unstructured-grid Navier-Stokes solver. The F-measure is a lower bound of a least-squares gradient, which is a purely geometrical quantity defined in each cell and thus can be computed for a given grid: faster convergence is expected for a grid with a lower value of the F-measure. The G-measure is a least-squares gradient of a specified function around each cell, with the minimum value of zero. Faster convergence is expected for a smaller value of the G-measure towards zero. In this paper, we investigate these measures for inviscid and viscous problems with unstructured grids in two dimensions.
Keywords
Cite
@article{arxiv.2008.12164,
title = {Grid Quality Measures for Iterative Convergence},
author = {Hiroaki Nishikawa},
journal= {arXiv preprint arXiv:2008.12164},
year = {2020}
}