Numerical simulation of the shock wave generated by electro-hydraulic effect based on LS-DYNA

YU Qing; ZHANG Hui; YANG Ruizhi

doi:10.11883/bzycj-2021-0214

Volume 42 Issue 2

Feb. 2022

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YU Qing, ZHANG Hui, YANG Ruizhi. Numerical simulation of the shock wave generated by electro-hydraulic effect based on LS-DYNA[J]. Explosion And Shock Waves, 2022, 42(2): 024201. doi: 10.11883/bzycj-2021-0214

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Numerical simulation of the shock wave generated by electro-hydraulic effect based on LS-DYNA

doi: 10.11883/bzycj-2021-0214

College of Petroleum Engineering, China University of Petroleum-Beijing, Beijing 102249, China

Received Date: 2021-05-27
Accepted Date: 2022-01-18
Rev Recd Date: 2021-09-08

Available Online: 2022-02-10

Publish Date: 2022-02-28

Abstract

Abstract

Due to the complexity of the mechanism of the electro-hydraulic effect, few commercial numerical simulation software can describe the internal characteristics of the plasma channel. In order to apply shock waves generated by hydro-electric effects to the existing numerical simulation software to meet the needs of engineering applications, in this paper, two methods based on LS-DYNA were introduced to simulate indirectly the shock wave generated by the electro-hydraulic effect, i.e. Underwater explosion equivalence (including explosion energy equivalence and shock wave energy equivalence) and ideal gas equivalence. Explosion energy equivalence is mainly based on the principle that the deposited energy injected into the plasma channel is equal to the combustion energy of the explosive. Shock wave energy equivalence is mainly based on the principle that the shock wave energy generated by an explosion is equal to that generated by the hydro-electric effect. However, ideal gas equivalence method is different from underwater explosion equivalence. Adopting ideal gas equivalence method, the plasma channel is regarded as an adiabatic expansion ideal gas, and the pressure in the plasma channel is characterized by the relevant keywords in LS-DYNA. In addition, the peak pressure of the shock wave generated by various methods was compared, and underwater explosion equivalence was improved based on the empirical formula of an underwater explosion and the empirical formula of the hydro-electric effect. Moreover, the difference in peak pressure based on different equivalence methods under different deposition energies was analyzed. The results show that the peak pressure of shock wave calculated by three different equivalent methods is different. The peak pressure based on the explosion energy equivalence method is the highest, The peak pressure based on the explosion energy equivalence method is medium, and the peak pressure based on the explosion energy equivalence method is the lowest. The peak pressure based on the ideal gas equivalence method is one to two orders of magnitude less than that based on the former two methods. The shock wave velocity based on the explosion energy equivalence method is equal to that based on the shock wave energy equivalence method, and higher than that based on ideal gas equivalence method.With the decrease of the deposited energy, the peak pressures based on the three equivalence methods all decrease in varying degrees, however, the order of the peak pressure does not change. The improved method for underwater explosion equivalence can simulate the peak pressure of the shock wave more accurately at different deposited energies, and the peak pressure fits well with the Touya empirical formula. In order to simulate accurately the peak pressure of the shock wave based on LS-DYNA, in addition to selecting the appropriate equivalence method, we should also combine the specific discharge conditions and establish an appropriate numerical model to realize the rapid calculation of the peak pressure under the conditions satisfying the calculation requirements.
- LS-DYNA,
- electro-hydraulic effect,
- shock wave,
- peak pressure

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References

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