A reconstruction technique for high-order variational finite volume schemes based on conjugate gradient method

被引：0

作者：

Ni, Fangkun ^{[1
,2
]}

Pan, Jianhua ^{[1
,2
]}

Zeng, Wei-Gang ^{[3
]}

Ren, Yu-Xin ^{[4
]}

机构：

[1] Ningbo Univ, Zhejiang Prov Engn Res Ctr Safety Pressure Vessel, Ningbo 315211, Peoples R China

[2] Ningbo Univ, Key Lab Impact & Safety Engn, Minist Educ, Ningbo 315211, Peoples R China

[3] Northeast Normal Univ, Acad Adv Interdisciplinary Studies, Changchun 130024, Peoples R China

[4] Tsinghua Univ, Dept Engn Mech, Beijing 100084, Peoples R China

来源：

COMPUTERS & FLUIDS | 2025年 / 291卷

基金：

中国国家自然科学基金;

关键词：

Conjugate gradient method; Variational finite volume method; Unstructured grids; High-order method; UNSTRUCTURED GRIDS II; SPECTRAL DIFFERENCE METHOD; CONSERVATION-LAWS; ELEMENT-METHOD; EXTENSION; SYSTEMS; FLOWS;

D O I：

10.1016/j.compfluid.2025.106576

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper proposes a novel reconstruction technique based on conjugate gradient method for the variational finite volume schemes. Compared with the Gauss-Seidel or Jacobi iteration based variational finite volume schemes, the conjugate gradient method based variational finite volume schemes not only have a superior convergence rate but also are cell-wise parallel and suit for computational devices like graphic processing units. Benchmark cases including 2-D and 3-D, steady and unsteady, inviscid and viscous cases demonstrate the effectiveness and high efficiency of the proposed technique.

引用

页数：17

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