| Godunov型显式大时间步长格式研究进展 |
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| 引用本文： | 钱战森. Godunov型显式大时间步长格式研究进展[J]. 航空学报, 2020, 41(7): 23575-023575. DOI: 10.7527/S1000-6893.2020.23575 |
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| 作者姓名： | 钱战森 |
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| 作者单位： | 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 |
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| 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。
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| 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 |
| 收稿时间： | 2019-10-14 |
| 修稿时间： | 2020-01-20 |
Research progress of Godunov type explicit large time step scheme |
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| QIAN Zhansen. Research progress of Godunov type explicit large time step scheme[J]. Acta Aeronautica et Astronautica Sinica, 2020, 41(7): 23575-023575. DOI: 10.7527/S1000-6893.2020.23575 |
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| Authors: | QIAN Zhansen |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | large time step schemes Godunov type schemes highly efficient algorithm scheme stability explicit schemes |
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