Gradient reconstruction of unstructured meshes based on improved least-squares method

被引：0
|
作者：
Xiao Y. [1 ]
Ming P. [1 ]
机构：
[1] College of Power and Energy Engineering, Harbin Engineering University, Harbin
来源：
Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University | 2020年 / 41卷 / 12期
关键词：
Cell-centered finite volume method; Gradient reconstruction; Green-Gauss method; GTEA software; Large-aspect-ratio curved grid; Least-squares method; Unstructured grid;
D O I：
10.11990/jheu.201905037
中图分类号：
学科分类号：
摘要：
For the cell-centered finite volume method, the traditional weighted least-squares (WLSQ) method has a large gradient reconstruction error in large-aspect-ratio curved triangle/quadrilateral meshes. This study systematically investigated the unstructured grid gradient reconstruction method. Based on the Green-Gauss WLSQ (WLSQ(G)) method for the boundary element, the BWLSQ(G) method was obtained by reconstructing the boundary element gradient via inverse distance weighting and stencil augmentation. Based on the self-developed multiphysics coupling software GTEA, the BWLSQ(G) performance was tested using a two-dimensional cylindrical steady-state thermal conductivity test, and the large-aspect-ratio and curved quadrilateral/triangle grid, respectively. The results showed that the improved BWLSQ(G) effectively improves the WLSQ(G) computational efficiency and reduces the boundary element gradient reconstruction error, and achieves the first-order convergence accuracy. Copyright ©2020 Journal of Harbin Engineering University.
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页码：1819 / 1826
页数：7
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