雷诺数为15 000方腔环流的基准解和周期性分析

计算物理 ›› 2020, Vol. 37 ›› Issue (4): 413-421.

雷诺数为15 000方腔环流的基准解和周期性分析

詹杰民, 扁诗奇, 罗莹莹, 胡文清, 龚也君

中山大学应用力学与工程系, 广东广州 510275

收稿日期:2019-04-08 修回日期:2019-06-03 出版日期:2020-07-25 发布日期:2020-07-25
作者简介:詹杰民(1963-),博士,教授,研究方向为流体力学,E-mail:stszjm@mail.sysu.edu.cn
基金资助:
国家级重点项目（6140206040301）及中央高校基本科研业务费专项基金（17lgjc41）资助项目

Periodicity Analysis and Benchmark Solution of Lid-driven Cavity at Re=15 000

ZHAN Jiemin, BIAN Shiqi, LUO Yingying, HU Wenqing, GONG Yejun

Department of Applied Mechanics, Sun Yat-sen University, Guangzhou, Guangdong 510275, China

Received:2019-04-08 Revised:2019-06-03 Online:2020-07-25 Published:2020-07-25

摘要/Abstract

摘要： 采用边界拟合法，结合基于结构网格的四叉树加密方法生成的高质量非均匀网格，研究雷诺数为15 000方腔环流周期性演化.利用傅里叶分析和相空间轨迹等方法研究流场演化的周期性行为以及流场动能的空间分布，确定周期性流动的基频和相对应的周期.研究发现：流场周期演化过程中，在主涡低频背景下，靠近方腔壁面、左上角、左下角以及右下角的高阶次涡具有高频演化规律.给出流场处于两种特征状态时的流场基准解.

关键词: 方腔环流, 周期演化, 边界拟合法, 能量分布, 基准解

Abstract: We study periodic cavity flow at Re=15 000, with a high quality non-uniform mesh obtained by boundary-fitted coordinated method and extra quadtree encryption method based on structural grid. Fourier power spectra analysis and phase-space trajectory were applied to understand periodic evolution and kinetic energy distribution of the flow field. Fundamental frequency and corresponding period were determined. It was found that during periodic evolution process of the flow field, the primary vortex maintained a low frequency of kinetic energy, while high-order vortices near boundaries and corners showed high frequencies of kinetic energy. Benchmark solutions of two characteristic states in period evolution were obtained.

Key words: lid-driven cavity, periodic evolution, boundary-fitted coordinated method, energy distribution, benchmark solution

中图分类号:

O357.1

詹杰民, 扁诗奇, 罗莹莹, 胡文清, 龚也君. 雷诺数为15 000方腔环流的基准解和周期性分析[J]. 计算物理, 2020, 37(4): 413-421.

ZHAN Jiemin, BIAN Shiqi, LUO Yingying, HU Wenqing, GONG Yejun. Periodicity Analysis and Benchmark Solution of Lid-driven Cavity at Re=15 000[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(4): 413-421.

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