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
收藏
页数：17
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