A least squares perspective of Green-Gauss gradient schemes

被引：3

作者：

Deka, Mandeep ^{[1
]}

Assam, Ashwani ^{[2
]}

Natarajan, Ganesh ^{[3
]}

机构：

[1] Indian Inst Sci Bangalore, Dept Mech Engn, Bangalore, India

[2] Indian Inst Technol Patna, Dept Mech Engn, Patna, India

[3] Indian Inst Technol Palakkad, Dept Mech Engn, Palakkad, India

来源：

PHYSICS OF FLUIDS | 2023年 / 35卷 / 03期

关键词：

Gaussian distribution - Least squares approximations;

D O I：

10.1063/5.0143740

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The least squares and Green-Gauss gradient schemes have been traditionally studied as two distinct techniques for gradient computation on unstructured meshes in the literature. In this Letter, we show that the Green-Gauss gradient method can be interpreted as a weighted least squares gradient scheme and that methods of the Green-Gauss family may therefore be encompassed in the larger set of least squares-based gradient schemes.

引用

页数：4

共 7 条

[1]

Brenner P., 1996, 1 AFOSR C DYN MOT CF

[2] A generic algorithm for three-dimensional multiphase flows on unstructured meshes [J].