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流体数值模拟网格自适应技术研究进展

唐静 崔鹏程 张健 周乃春 吴晓军 龚小权 张耀冰

唐静, 崔鹏程, 张健, 周乃春, 吴晓军, 龚小权, 张耀冰. 流体数值模拟网格自适应技术研究进展. 力学进展, 2023, 53(3): 661-692 doi: 10.6052/1000-0992-23-013
引用本文: 唐静, 崔鹏程, 张健, 周乃春, 吴晓军, 龚小权, 张耀冰. 流体数值模拟网格自适应技术研究进展. 力学进展, 2023, 53(3): 661-692 doi: 10.6052/1000-0992-23-013
Tang J, Cui P C, Zhang J, Zhou N C, Wu X J, Gong X Q, Zhang Y B. Review of mesh adaptation for fluid numerical simulation. Advances in Mechanics, 2023, 53(3): 661-692 doi: 10.6052/1000-0992-23-013
Citation: Tang J, Cui P C, Zhang J, Zhou N C, Wu X J, Gong X Q, Zhang Y B. Review of mesh adaptation for fluid numerical simulation. Advances in Mechanics, 2023, 53(3): 661-692 doi: 10.6052/1000-0992-23-013

流体数值模拟网格自适应技术研究进展

doi: 10.6052/1000-0992-23-013
详细信息
    作者简介:

    周乃春, 1973 年 2 月出生, 湖南省澧县人. 中国空气动力研究与发展中心研究员, 国家数值风洞工程副总设计师. 长期从事计算流体力学算法研究与流体力学工业软件研发

    通讯作者:

    znccxl@foxmail.com

  • 中图分类号: V211.3

Review of mesh adaptation for fluid numerical simulation

More Information
  • 摘要: 计算网格是流体数值模拟误差的主要来源之一, 极大地影响着流动模拟结果的精度. 传统网格生成强烈依赖于用户经验, 加大了复杂飞行器网格生成的难度, 增加了气动特性预测数据的不确定度. 网格自适应技术是结合流动特性的计算网格自主优化技术, 可通过迭代优化消除网格因素造成的数值模拟误差, 能有效提高飞行器气动特性预测精度. 近年来在运输机高升力复杂构型的成功应用, 表明了网格自适应技术已发展到了较为成熟的阶段. 本文针对计算流体力学, 首先系统总结了网格自适应涉及的误差估计、网格编辑和物面几何保形三项关键技术的研究进展, 并介绍了相关的主要并行实现技术. 其次, 文中介绍了网格自适应技术在网格相关性分析、流场细节捕捉、气动特性计算和非定常流动模拟中的主要应用情况. 最后, 本文提出了网格自适应技术研究存在的问题及未来研究方向.

     

  • 图  1  结合网格自适应流场CFD模拟典型流程

    图  2  两个度量张量相交的几何意义示意(Alauzet et al. 2007)

    图  3  度量张量自适应与伴随自适应对比(Balan et al. 2019). 上: 阻力随网格规模的收敛特性, 下: 自适应后网格

    图  4  r型网格优化示意图(Vivarelli et al. 2021). (a)优化前网格, (b)优化后网格

    图  5  自适应笛卡尔网格应用于黏性流动模拟(陈浩 等 2022). (a)自适应后的网格, (b)自适应前后升力曲线对比

    图  6  结构网格类似笛卡尔网格自适应(Su 2015). (a)自适应后的网格, (b)自适应前后压力分布

    图  7  四面体网格各向异性剖分方式 (唐静 等 2015). (a) 一分为二, (b) 一分为四, (c) 一分为四, (d) 一分为八

    图  8  四面体各向异性网格生成(Alauzet和Loseille 2016). (a)流场等值线, (b)各向异性网格

    图  9  层结构网格单元仅法向剖分及“贯穿”剖分 (唐静 等 2015). (a) 一分为二, (b) 一分为四, (c) 穿透细分

    图  10  基于单元的网格剖分模式 (Soukov 2022). (a) 六面体单元, (b) 三棱柱单元, (c) 金字塔单元, (d) 四面体单元

    图  11  剖分单元的相邻单元转换为多面体及多边形标准化示例 (唐静 等 2019)

    图  12  局部Coons曲面拟合示意图(Hindenlang et al. 2011)

    图  13  后台阶流动网格相关性分析(Chila & Kaminski 2006). (a)监测点速度, (b)分离再附点位置

    图  14  第三届高升力构型自适应计算(Alauzet & Clerici et al. 2022). (a)升力系数收敛过程, (b) 阻力系数收敛过程

    图  15  三角翼大攻角流动网格自适应模拟(唐静 等 2019). (a)涡结构对比, (b)压力分布对比

    图  16  飞翼大攻角流动笛卡尔网格自适应模拟(陈浩 等 2022). (a)自适应前涡结构, (b) 自适应后涡结构

    图  17  阿波罗返回舱头激波自适应模拟流场(Bibb et al. 2006). (a)初始网格, (b)自适应两次网格, (c)自适应最终网格

    图  18  声爆激波捕捉自适应模拟压力分布对比(Jones et al. 2006). (a)初始网格压力对比, (b)自适应后压力对比

    图  19  C608低声爆飞机复杂波系各向异性自适应模拟后网格及流场分布(Vanharen et al. 2021)

    图  20  NASA Rotor 37压气机流场模拟(Alauzet & Frazza et al. 2022). (a)自适应后网格及流场, (b)总压比收敛过程

    图  21  第三届高升力构型自适应网格收敛计算(Alauzet & Clerici et al. 2022). (a)自适应网格收敛过程, (b)自适应后机翼等展向位置截面网格分布及流场

    图  22  结合LES和网格自适应圆柱绕流模拟的分离涡系结构(Gou et al. 2018). (a)未使用自适应, (b)使用自适应

    图  23  结合LES和压气机网格自适应模拟流动参数(Odier et al. 2021). (a)压气机构型, (b)自适应前后流动参数对比

    图  24  两级入轨飞行器级间分离自适应模拟(唐静 等 2022). (a)分离前期自适应网格, (b)自适应前后俯仰角对比

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  • 收稿日期:  2023-03-23
  • 录用日期:  2023-06-17
  • 网络出版日期:  2023-06-18
  • 刊出日期:  2023-09-30

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