航空学报 > 2020, Vol. 41 Issue (7): 23575-023575   doi: 10.7527/S1000-6893.2020.23575

Godunov型显式大时间步长格式研究进展

钱战森1,2   

  1. 1. 中国航空工业空气动力研究院, 沈阳 110034;
    2. 高速高雷诺数气动力航空科技重点实验室, 沈阳 110034
  • 收稿日期:2019-10-14 修回日期:2020-01-20 出版日期:2020-07-15 发布日期:2020-02-13
  • 通讯作者: 钱战森 E-mail:qianzs@avicari.com.cn
  • 基金资助:
    国家自然科学基金(11672280,11202199)

Research progress of Godunov type explicit large time step scheme

QIAN Zhansen1,2   

  1. 1. AVIC Aerodynamics Research Institute, Shenyang 110034, China;
    2. Aviation Key Laboratory of Science and Technology on High Speed and High Reynolds Number Aerodynamic Force Research, Shenyang 110034, China
  • Received:2019-10-14 Revised:2020-01-20 Online:2020-07-15 Published:2020-02-13
  • Supported by:
    National Natural Science Foundation of China (11672280,11202199)

摘要: 综述了Godunov型显式大时间步长格式的研究进展。首先介绍了显式大时间步长格式的概念、分类和优势。然后重点阐述了Godunov型显式大时间步长格式的构造方法、高阶精度推广方法、多维问题推广方法和收敛特性、分辨率及计算效率等性能,展示了其在典型问题中的应用和验证。最后给出了Godunov型显式大时间步长格式研究进一步可能的发展方向。

关键词: 大时间步长格式, Godunov型格式, 高效算法, 格式稳定性, 显式格式

Abstract: The research progress of the Godunov type explicit large time step scheme is reviewed. Firstly, the concept, classifications and advantages of explicit large time step scheme are introduced. Then, followed by its construction methods, higher order accuracy extension approaches, multi-dimension generalization methods, and characteristics analysis including stability, resolution and computational efficiency. Finally, further development direction of the Godunov type explicit large time step scheme is proposed.

Key words: large time step schemes, Godunov type schemes, highly efficient algorithm, scheme stability, explicit schemes

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