| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
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 |
|
|
|
|
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.
|
Received: 24 October 2024
Revised: 26 February 2025
Accepted manuscript online: 11 March 2025
|
|
PACS:
|
47.40.-x
|
(Compressible flows; shock waves)
|
| |
47.40.Nm
|
(Shock wave interactions and shock effects)
|
| |
02.70.-c
|
(Computational techniques; simulations)
|
| |
02.60.Cb
|
(Numerical simulation; solution of equations)
|
|
| Fund: 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). |
Corresponding Authors:
Xinpeng Yuan
E-mail: yuanxp@cma.gov.cn,yuanxinpeng1987@163.com
|
Cite this article:
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 2025 Chin. Phys. B 34 064701
|
[1] Tian Z L, Liu Y L, Wang S P, Zhang A M and Kang Y W 2019 CMESComp. Model. Eng. 118 397
[2] Cole R H 1948 Underwater Explosions (Princeton: Princeton Univ. Press)
[3] Zamyshlyayev B V 1973 Dynamic load in underwater explosion
[4] Rajasekar J, Kim T H and Kim H D 2020 J. Visual-Japan. 23 825
[5] Petrov N V and Schmidt A A 2011 Tech. Phys. Lett. 37 445
[6] Chan S K 1992 Proceedings of shock & vibration symposium saviac
[7] Molyneaux T C K, Li L Y and Firth N 1994 Comput. Fluids 23 903
[8] Brett J M 1998 Defence Science and Technology Organisation Canberra
[9] Wu W B, Zhang, A M, Liu Y L and Wang S P 2019 Appl. Ocean. Res. 87 102
[10] Wang G H, Zhang S R, Yu M, Li H B and Kong Y 2014 Appl. Ocean. Res. 46 40
[11] Wang G H, Wang Y X, Lu W B, Zhou W, Chen M and Yan P 2016 Appl. Ocean. Res. 59 1
[12] Tang T, Li N and Zhang Z R 2023 Moving grid method for partial differential equations (Beijing: Science Press) pp. 4-5 (in Chinese)
[13] Zheng HW, Shu C, Chew Y T and Qin N 2011 Int. J. Numer. Meth. Fl. 67 616
[14] Li R, Tang T and Zhang P W 2002 J. Comput. Phys. 177 365
[15] Ning J G, Yuan X P, Ma T B and Wang C 2015 Comput. Fluids 123 72
[16] Ning J G, Yuan X P, Ma T B and Li J 2017 Sci. Program. 5896940
[17] Berger M J, and Oliger J 1984 J. Comput. Phys. 53 484
[18] L ohner R and Morgan K 1987 Int. J. Numer. Meth. Eng. 24 101
[19] Tezduyar T E, Mittal S, Ray S E and Shih R 1992 Comput. Method. Appl. M. 95 221
[20] Persson P O and Peraire J 2006 American Institute of Aeronautics and Astronautics 112
[21] Deng Y T, Wang M D, Kong X X, Xiong S Y, Xian Z Y and Zhu B 2022 Assoc. Comput. Mach. 41 1
[22] Dwyer H A, Kee R and Sanders B R 2012 AIAA J. 1 1205
[23] Rachowicz W and Demkowicz L 2000 Comput. Method. Appl. M. 187 307
[24] Falla R, Bobach B J, Boman R, Ponthot J and Terrapon V 2023 Comput. Part. Mech. 10 1049
[25] Huang W Z, Ren Y H and Robert D R 1994 J. Comput. Phys. 113 279
[26] Scardovelli R and Zaleski S 1999 Annu. Rev. Fluid. Mech. 31 567
[27] Abgrall R and Karni S 2001 J. Comput. Phys. 169 594
[28] Allaire G, Clerc S and Kokh S 2002 J. Comput. Phys. 181 577
[29] WhiteWJ, Huang Z Y and Johnsen E 2024 American Institute of Aeronautics and Astronautics 1755
[30] PriceMA, Nguyen V T, Hassan O and Morgan K 2015 Comput. Fluids 111 76
[31] Hu Y b and Li F Y 2020 Adv. Nonlinear Ana. 10 584
[32] Saurel R and Abgrall R 1999 J. Comput. Phys. 150 425
[33] Perthame B and Shu C W 1996 Numer. Math. 73 119
[34] Leer B V 1979 J. Comput. Phys. 135 229
[35] Ning J G, Yuan X P, Ma T B and Wang C 2016 Appl. Math. Comput. 282 1
[36] Tang H Z and Tang Tao 2003 SIAM J. Numer. Anal. 41 487
[37] Snay H G, Butler J F and Gleyzal A 1957 Predictions of underwater explosion phenomena
[38] Kamegai M, Rosenkilde C E and Klein L S 1987 Lawrence Livermore National Laboratory report UCRL96960
[39] Loborev V M, Zamyshlyayev B V, Maslin E P and Shilobreev B A 1997 Moscow Publishing House pp. 477-478 (in Russian)
[40] Liu R Z and Shu Q W 2002 Computational Fluid Dynamics Tutorial (Beijing: Science Press) pp. 26-29 (in Chinese)
[41] Zhang D L 2010 Several new methods in computational fluid dynamics (Beijing: Higher Education Press) pp. 252-255 (in Chinese) |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
