Study on adaptive mesh method in the problem of underwater shock waves near water surface

doi:10.1088/1674-1056/adbed8

中国物理B ›› 2025, Vol. 34 ›› Issue (6): 64701-064701.doi: 10.1088/1674-1056/adbed8

Study on adaptive mesh method in the problem of underwater shock waves near water surface

Fang Wang(王芳)¹, Xinpeng Yuan(原新鹏)^2,†, and Jianzhu An(安建祝)¹

1 Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
2 State Key Laboratory of Severe Weather Meteorological Science and Technology, Chinese Academy of Meteorological Sciences, Meteorological Administration, Beijing 100081, China

收稿日期:2024-10-24 修回日期:2025-02-26 接受日期:2025-03-11 出版日期:2025-05-16 发布日期:2025-06-12
通讯作者: Xinpeng Yuan E-mail:yuanxp@cma.gov.cn,yuanxinpeng1987@163.com
基金资助:
Project supported by the Overall Planning and Development Project of China Academy of Engineering Physics (CAEP) (Grant No. TCGH0909), the Science and Technology Development Fund of the Chinese Academy of Meteorological Sciences (CAMS) (Grant No. 2023KJ048), and the Basic Research Fund of the Chinese Academy of Meteorological Sciences (Grant No. 2023Z001).

Study on adaptive mesh method in the problem of underwater shock waves near water surface

Fang Wang(王芳)¹, Xinpeng Yuan(原新鹏)^2,†, and Jianzhu An(安建祝)¹

1 Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
2 State Key Laboratory of Severe Weather Meteorological Science and Technology, Chinese Academy of Meteorological Sciences, Meteorological Administration, Beijing 100081, China

Received:2024-10-24 Revised:2025-02-26 Accepted:2025-03-11 Online:2025-05-16 Published:2025-06-12
Contact: Xinpeng Yuan E-mail:yuanxp@cma.gov.cn,yuanxinpeng1987@163.com
Supported by:
Project supported by the Overall Planning and Development Project of China Academy of Engineering Physics (CAEP) (Grant No. TCGH0909), the Science and Technology Development Fund of the Chinese Academy of Meteorological Sciences (CAMS) (Grant No. 2023KJ048), and the Basic Research Fund of the Chinese Academy of Meteorological Sciences (Grant No. 2023Z001).

摘要/Abstract

摘要： This paper focuses on the application of the adaptive mesh method in the study of underwater shock waves near the water surface. By integrating theoretical analysis with a five-equation model under axisymmetric coordinates, we developed an optimized computational framework for multi-material fluid simulations. The moving mesh method (r-method) is used to accurately capture complex underwater shock wave systems. Multiple numerical experiments are conducted, including deep-water explosions, near-surface explosions for both spherical charge and cylindrical charge, and regular-irregular reflection interface calculations. The results show that compared to the fixed mesh method, the adaptive mesh method provides results closer to the theoretical values and achieves local high-resolution computation of multi-material fluids. By adjusting the adaptive function, different mesh refinement effects can be obtained. This method also has certain advantages in calculating the regular-irregular reflection interface in underwater explosions. This study establishes a validated computational framework for underwater explosion research, enhancing the predictive accuracy for underwater shock wave propagation in engineering assessments and providing new insights into the fundamental physics of multi-material explosion phenomena.

关键词: adaptive mesh, shock wave, five equations, underwater

Abstract: This paper focuses on the application of the adaptive mesh method in the study of underwater shock waves near the water surface. By integrating theoretical analysis with a five-equation model under axisymmetric coordinates, we developed an optimized computational framework for multi-material fluid simulations. The moving mesh method (r-method) is used to accurately capture complex underwater shock wave systems. Multiple numerical experiments are conducted, including deep-water explosions, near-surface explosions for both spherical charge and cylindrical charge, and regular-irregular reflection interface calculations. The results show that compared to the fixed mesh method, the adaptive mesh method provides results closer to the theoretical values and achieves local high-resolution computation of multi-material fluids. By adjusting the adaptive function, different mesh refinement effects can be obtained. This method also has certain advantages in calculating the regular-irregular reflection interface in underwater explosions. This study establishes a validated computational framework for underwater explosion research, enhancing the predictive accuracy for underwater shock wave propagation in engineering assessments and providing new insights into the fundamental physics of multi-material explosion phenomena.

Key words: adaptive mesh, shock wave, five equations, underwater

中图分类号: (Compressible flows; shock waves)

47.40.-x

47.40.Nm (Shock wave interactions and shock effects) 02.70.-c (Computational techniques; simulations) 02.60.Cb (Numerical simulation; solution of equations)

Fang Wang(王芳), Xinpeng Yuan(原新鹏), and Jianzhu An(安建祝). Study on adaptive mesh method in the problem of underwater shock waves near water surface[J]. 中国物理B, 2025, 34(6): 64701-064701.

Fang Wang(王芳), Xinpeng Yuan(原新鹏), and Jianzhu An(安建祝). Study on adaptive mesh method in the problem of underwater shock waves near water surface[J]. Chin. Phys. B, 2025, 34(6): 64701-064701.

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Study on adaptive mesh method in the problem of underwater shock waves near water surface

Study on adaptive mesh method in the problem of underwater shock waves near water surface

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