基于共轭梯度法的高阶变分有限体积格式重构技术

IF 2.5 3区工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Fluids Pub Date : 2025-02-14 DOI:10.1016/j.compfluid.2025.106576

Fangkun Ni , Jianhua Pan , Wei-Gang Zeng , Yu-Xin Ren

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引用次数: 0

摘要

本文提出了一种基于共轭梯度法的变分有限体积格式重构技术。与基于gaas - seidel或Jacobi迭代的变分有限体积格式相比，基于共轭梯度法的变分有限体积格式不仅具有更高的收敛速度，而且具有逐单元并行性，适合图形处理单元等计算设备。二维与三维、定常与非定常、无粘与粘性等基准情况均证明了该方法的有效性和高效性。

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

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.

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来源期刊

Computers & Fluids 物理-计算机：跨学科应用

CiteScore

5.30

自引率

7.10%

发文量

242

审稿时长

10.8 months

期刊介绍： Computers & Fluids is multidisciplinary. The term ''fluid'' is interpreted in the broadest sense. Hydro- and aerodynamics, high-speed and physical gas dynamics, turbulence and flow stability, multiphase flow, rheology, tribology and fluid-structure interaction are all of interest, provided that computer technique plays a significant role in the associated studies or design methodology.