Accuracy of Cell-Centre Derivation of Unstructured-Mesh Finite Volume Solver

Accuracy of Cell-Centre Derivation of Unstructured-Mesh Finite Volume Solver
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© 2022 by IJETT Journal
Volume-70 Issue-8
Year of Publication : 2022
Authors : Adek Tasri
DOI : 10.14445/22315381/IJETT-V70I8P217

How to Cite?

Adek Tasri, "Accuracy of Cell-Centre Derivation of Unstructured-Mesh Finite Volume Solver," International Journal of Engineering Trends and Technology, vol. 70, no. 8, pp. 166-171, 2022. Crossref, https://doi.org/10.14445/22315381/IJETT-V70I8P217

Abstract
This study compared the accuracy of existing and a proposed second-order least square based cell centre derivation of velocity within an unstructured mesh finite volume solver. We tested the algorithms in isolation on ideal data to determine their basic numerical accuracy on good quality and artificially distorted meshes. The study found that the least-square-based cell centre derivations were more accurate than Gauss divergence-based derivations. The preliminary interpolation stage in cell centre derivation increased L1 error and reduced the order of accuracy in the distorted mesh. The second-order least square-based cell centre derivations were the most accurate among the methods tested in this study. The Frink's cell centre derivation was the least accurate.

Keywords
Finite volume, Cell centre derivation, Unstructured mesh.

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