拼合网格上不可压缩纳维-斯托克斯方程的耦合块隐式求解器

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

Computers & Fluids Pub Date : 2024-09-06 DOI:10.1016/j.compfluid.2024.106426

Mark A. George, Nicholas Williamson, Steven W. Armfield

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引用次数: 0

摘要

本文开发了一种全耦合无矩阵方法，用于求解拼合有限体积网格上的不可压缩稳态纳维-斯托克斯方程。该方法是通过在每个单元偏移动量方程与隐含耦合的连续性方程，并通过扫描三维平面和二维直线来更新解法来实现的。针对雷诺数为 200 和 1000 的三维层流盖驱动空腔以及雷诺数为 100 和 200 的三维层流后向阶梯，研究了扫描方向对收敛速度的影响。在这些流动情况下，与 OpenFOAM 和 ANSYS Fluent 的 SIMPLE 方案以及 ANSYS Fluent 的耦合求解器相比，速度提高了一个数量级。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A coupled block implicit solver for the incompressible Navier–Stokes equations on collocated grids

A fully coupled matrix-free method is developed for solving the incompressible steady-state Navier–Stokes equations on a collocated finite volume grid. This is achieved by offsetting the momentum equations relative to the continuity equation they are implicitly coupled to at each cell and updating the solution by sweeping planes in 3D and lines in 2D. The effect of sweeping direction on convergence rate is investigated for the 3D laminar lid driven cavity at Reynolds number 200 and 1000 and 3D laminar backwards facing step at Reynolds number 100 and 200. For these flow cases, a speed-up of up to an order of magnitude compared to SIMPLE schemes of OpenFOAM and ANSYS Fluent and the coupled solver of ANSYS Fluent was observed.

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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.