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Comparative studies on accuracy and convergence rate between the cell-centered scheme and the cell-vertex scheme for triangular grids

Release Time:2025-04-30
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Date:
2025-04-30
Title of Paper:
Comparative studies on accuracy and convergence rate between the cell-centered scheme and the cell-vertex scheme for triangular grids
Journal:
International Journal of Heat and Mass Transfer
Summary:
The truncation errors of the cell-centered and the cell-vertex schemes for unstructured triangular grids are theoretically derived respectively, showing that the truncation error of the cell-vertex scheme is smaller than that of the cell-centered scheme for the same triangular grids. The theoretical derivation is validated by some numerical examples. In addition, it is also shown by both of theoretical analysis and numerical examples that the convergence rate of the cell-vertex scheme is faster than that of the cell centered scheme.
Co-author:
G. J. Yu, B. Yu, Y. Zhao, J. J. Wei
Volume:
55(25–26)
Page Number:
8051-8060
Translation or Not:
No
Date of Publication:
2012-09-18