混合动理学通量WENO方法拓展

doi:10.7527/S1000-6893.2021.25909

激波/边界层干扰机理与控制专栏

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混合动理学通量WENO方法拓展

何康^1,2, 李新亮^1,2, 刘洪伟¹

1. 中国科学院力学研究所高温气体动力学国家重点实验室, 北京 100190;
2. 中国科学院大学工程科学学院, 北京 100049

收稿日期:2021-06-03 修回日期:2021-09-23 出版日期:2022-01-15 发布日期:2021-09-22
通讯作者: 刘洪伟 E-mail:hliu@imech.ac.cn
基金资助:
国家重点研发计划（2019YFA0405300，2016YFA0401200）；国家自然科学基金（91852203，11472278）

An extension of hybrid kinetic WENO method

HE Kang^1,2, LI Xinliang^1,2, LIU Hongwei¹

1. State Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2. School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2021-06-03 Revised:2021-09-23 Online:2022-01-15 Published:2021-09-22
Supported by:
National Key Research and Development Program of China (2019YFA0405300,2016YFA0401200);National Natural Science Foundation of China (91852203, 11472278)

摘要/Abstract

摘要： 对基于气体动理论的高精度WENO方法进行了拓展研究，将Int.J.Numer.Meth.Fluids 79（6），290-305（2015）中提出的5阶混合动理学通量WENO方法进一步拓展到7阶和9阶；在5阶混合动理学WENO方法框架下，比较了采用不同激波探测技术的计算准确度和效率。在时间方向采用三阶Runge-Kutta方法进行推进，空间离散采用混合动理学通量WENO方法。通过一维和二维算例，验证了构造的7阶和9阶混合动理学方法比传统的矢通量分裂技术具有更高的分辨率和更小的数值耗散，并保持了较好的激波捕捉能力；对比发现Ohwada等提出的激波探测技术具备良好的激波探测能力和计算效率。

关键词: WENO重构, 气体动理论, 高阶方法, 数值耗散, 激波探测技术

Abstract: An extension of the high-order WENO methods based on the gas-kinetic theory is carried out. The hybrid kinetic WENO method proposed in Int.J.Numer.Meth. Fluids 79(6),290-305(2015) is further extended to the 7th-order and the 9th-order cases. Within the framework of the 5th-order hybrid kinetic WENO method, the computational accuracy and efficiency of different shock detection techniques are compared. The TVD Runge-Kutta method is used for temporal integration, and the hybrid kinetic WENO method is employed for spatial discretization. Both one-dimensional and two-dimensional numerical examples are presented to show that the extended hybrid kinetic methods have higher resolution and less numerical dissipation than the traditional flux vector splitting technique, and can also have good shock-capturing ability. It is also found that the shock detection technology proposed by Ohwada et al. has good shock-detection ability and computational efficiency.

Key words: WENO reconstruction, gas kinetic theory, higher-order method, numerical dissipation, shock detection method

中图分类号:

V211.3

何康, 李新亮, 刘洪伟. 混合动理学通量WENO方法拓展[J]. 航空学报, 2022, 43(1): 625909-625909.

HE Kang, LI Xinliang, LIU Hongwei. An extension of hybrid kinetic WENO method[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(1): 625909-625909.

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E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

混合动理学通量WENO方法拓展

An extension of hybrid kinetic WENO method

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