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基于非结构/混合网格的高阶精度格式研究进展

张来平 贺立新 刘伟 李明 张涵信

张来平, 贺立新, 刘伟, 李明, 张涵信. 基于非结构/混合网格的高阶精度格式研究进展[J]. 力学进展, 2013, 43(2): 202-236. doi: 10.6052/1000-0992-12-092
引用本文: 张来平, 贺立新, 刘伟, 李明, 张涵信. 基于非结构/混合网格的高阶精度格式研究进展[J]. 力学进展, 2013, 43(2): 202-236. doi: 10.6052/1000-0992-12-092
ZHANG Laiping, HE Lixin, LIU Wei, LI Ming, ZHANG Hanxin. Reviews of high-order methods on unstructured and hybrid grid[J]. Advances in Mechanics, 2013, 43(2): 202-236. doi: 10.6052/1000-0992-12-092
Citation: ZHANG Laiping, HE Lixin, LIU Wei, LI Ming, ZHANG Hanxin. Reviews of high-order methods on unstructured and hybrid grid[J]. Advances in Mechanics, 2013, 43(2): 202-236. doi: 10.6052/1000-0992-12-092

基于非结构/混合网格的高阶精度格式研究进展

doi: 10.6052/1000-0992-12-092
基金项目: 国家重点基础研究发展计划(973) (2009CB723802)和国家自然科学基金(91016001, 91016011, 91130029)资助项目
详细信息
    作者简介:

    张来平, 1968 年出生, 1990 年毕业于中国科学技术大学近代力学系, 1997 年中国空气动力研究与发展中心博士. 现任中国空气动力研究与发展中心计算空气动力研究所研究员, 空气动力学学会理事, 中国力学学会青年工作委员会委员. 主要从事非结构/混合网格生成技术、基于非结构/混合网格的计算格式、非定常流动机理等方面的研究与应用工作.

    通讯作者:

    张来平

  • 中图分类号: V211.3

Reviews of high-order methods on unstructured and hybrid grid

Funds: The project was supported by the National Basic Research Program of China (973 Program) (2009CB723802), the Natural Science Foundation of China (91016001, 91016011, 91130029).
More Information
    Corresponding author: ZHANG Laiping
  • 摘要: 尽管以二阶精度格式为基础的计算流体力学(CFD) 方法和软件已经在航空航天飞行器设计中发挥了重要的作用, 但是由于二阶精度格式的耗散和色散较大, 对于湍流、分离等多尺度流动现象的模拟, 现有成熟的CFD 软件仍难以给出满意的结果, 为此CFD 工作者发展了众多的高阶精度计算格式. 如果以适应的计算网格来分类, 一般可以分为基于结构网格的有限差分格式、基于非结构/混合网格的有限体积法和有限元方法,以及各种类型的混合方法. 由于非结构/混合网格具有良好的几何适应性, 基于非结构/混合网格的高阶精度格式近年来备受关注. 本文综述了近年来基于非结构/混合网格的高阶精度格式研究进展, 重点介绍了空间离散方法, 主要包括k-Exact 和ENO/WENO 等有限体积方法, 间断伽辽金(DG) 有限元方法, 有限谱体积(SV) 和有限谱差分(SD) 方法, 以及近来发展的各种DG/FV 混合算法和将各种方法统一在一个框架内的CPR (correctionprocedure via reconstruction) 方法等. 随后简要介绍了高阶精度格式应用于复杂外形流动数值模拟的一些需要关注的问题, 包括曲边界的处理方法、间断侦测和限制器、各种加速收敛技术等. 在综述过程中, 介绍了各种方法的优势与不足, 其间介绍了作者发展的基于"静动态混合重构" 的DG/FV 混合算法. 最后展望了基于非结构/混合网格的高阶精度格式的未来发展趋势及应用前景.

     

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  • 收稿日期:  2012-08-28
  • 修回日期:  2013-03-19
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