An improvement of the wall-pressure theory and numerical method for shock waves in underwater explosion

LIU Xiaobo; LI Shuai; ZHANG Aman

doi:10.11883/bzycj-2021-0106

Volume 42 Issue 1

Jan. 2022

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LIU Xiaobo, LI Shuai, ZHANG Aman. An improvement of the wall-pressure theory and numerical method for shock waves in underwater explosion[J]. Explosion And Shock Waves, 2022, 42(1): 014202. doi: 10.11883/bzycj-2021-0106

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LIU Xiaobo, LI Shuai, ZHANG Aman. An improvement of the wall-pressure theory and numerical method for shock waves in underwater explosion[J]. Explosion And Shock Waves, 2022, 42(1): 014202. doi: 10.11883/bzycj-2021-0106

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An improvement of the wall-pressure theory and numerical method for shock waves in underwater explosion

doi: 10.11883/bzycj-2021-0106

College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China

Received Date: 2021-03-24
Rev Recd Date: 2021-07-01

Available Online: 2021-12-03

Publish Date: 2022-01-20

Abstract

Abstract

Underwater blast shock wave is an important load in the evaluation of the impact resistance of ships, and it is also the key and basis for the fast prediction of the structure damage in underwater explosions. In the present study, a series of small equivalent underwater explosion experiments were carried out in the explosion tank. By comparing the theoretical predicted and experimental measured wall pressure characteristics, the applicability of the traditional Taylor formula in predicting the wall pressure of the underwater explosion shock wave was explored. It is found that the deviation of the Taylor plate theory in predicting the pulse width of the wall-pressure is mainly because the nonlinear variation of the shock wave velocity is not considered. Given this, a fitting formula of the shock wave velocity for 0.11 m/kg^1/3≤R/W^1/3≤5.30 m/kg^1/3, where R is the detonation distance and W is the charge weight, is given to improve the traditional Taylor theoretical formula. The corrected theoretical values are in good agreement with the experimental values. For R/W^1/3=0.11 m/kg^1/3, the pulse-width deviation of the wall-pressure of the shock wave between the improved Taylor formula and the experimental result is reduced from 79.6% to 26.6%, and the deviation of the impulse is reduced from 119.3% to 58.4%. For R/W^1/3≥0.21 m/kg^1/3, the deviations of the pulse-width and the impulse of wall-pressure are both less than 12%. Moreover, in the simulation of the wall-pressure change at different distances by numerical method (e.g., finite element method), it is found that the numerical dissipation causes the plate to move in advance (before the arrival of the shock wave front), leading to a significant decrease in the peak of the wall-pressure when dealing with the near-field and far-field underwater explosion problems. Therefore, a feasible numerical strategy was proposed to eliminate the weakening effect caused by numerical dissipation. The improved numerical results are in great agreement with the improved Taylor plate theory, and the deviation of the wall-pressure peak is less than 9%. The improved theoretical formula and numerical method for the shock wave wall pressure can provide theoretical and technical supports for the field of explosion protection of ships.
- underwater explosion,
- wall pressure,
- shock wave,
- Taylor plate theory

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References

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