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A Study on BEM-Based Numerical Simulation Technique for Underwater Explosions

수중 폭발 시뮬레이션을 위한 경계 요소법 기반의 수치 해석 기법 연구

  • Choung, Joonmo (Dept. of Naval Architecture & Ocean Engineering, Inha University) ;
  • Lee, Jae-bin (Dept. of Naval Architecture & Ocean Engineering, Inha University)
  • 정준모 (인하대학교 조선해양공학과) ;
  • 이재빈 (인하대학교 조선해양공학과)
  • Received : 2020.02.11
  • Accepted : 2020.06.05
  • Published : 2020.10.20

Abstract

Recoverability and vulnerability of navy ships under underwater explosion are critical verification factors in the acquisition phase of navy ships. This paper aims to establish numerical analysis techniques for the underwater explosion of navy ships. Doubly Asymptotic Approach (DAA) Equation of Motion (EOM) of primary shock wave and secondary bubble pulse proposed by Geers-Hunter was introduced. Assuming a non-compressive fluid, reference solution of the DAA EOM of Geers-Hunter using Runge-Kutta method was derived for the secondary bubble pulse phase with an assumed charge conditions. Convergence analyses to determine fluid element size were performed, suggesting that the minimum fluid element size for underwater explosion analysis was 0.1 m. The spherical and cylindrical fluid domains were found to be appropriate for the underwater explosion analyses from the fluid domain shape study. Because the element size of 0.1 m was too small to be applied to the actual navy ships, a very slender beam with the square solid section was selected for the study of fluid domain existence effect. The two underwater explosion models with/without fluid domain provided very similar results in terms of the displacement and stress processes.

Keywords

References

  1. Coles, J.S. et al., 1946. Shock-wave parameters from spherical TNT charges detonated underwater. in Underwater Explosion Research Office of Naval Research, Washington D.C., 1, pp.1085-1105.
  2. DeRuntz, J.A., 1996. The Underwater Shock Analysis (USA) Manual. Unique Software Applications, Colorado Spring.
  3. Farley, T.E. & Snay, H.G., 1978. Unclassified data from classified source. in Explosion Effects and Properties: Part II. Explosion Effects in Water, NSWC/WOL TR 76-116.
  4. Geers, T.L. & Hunter, K.S., 2002. An integrated wave-effects model for an underwater explosion bubble. Journal of Acoustic Society of America, 111(4), pp.1584-1601. https://doi.org/10.1121/1.1458590
  5. Hamashima, H., Shibuta, M., Nishimura, Y. & Itoh, S., 2010. Behavior of bubble pulse in food processing using underwater shock wave. International Journal of Multiphysics, 4(2), pp.113-124. https://doi.org/10.1260/1750-9548.4.2.113
  6. Hicks, A.N., 1970. Effect of bubble migration on explosion-induced whipping in ships. Naval Ship Research and Development Center Technical Report No. 3301.
  7. Kim, J.H., 2007. Shock response analysis under underwater explosion for underwater ship using ALE Technique. Journal of the Korean Society for Marine Environment Engineering, 10(4), pp.218-226.
  8. Kim, S.B., Lee, K.J., Jung, D.H. & Park, T.H., 2014. Dynamic response analysis of pipe subjected to underwater explosion. Journal of The Korean Society of Civil Engineers, 34(1), pp.9-16. https://doi.org/10.12652/Ksce.2014.34.1.0009
  9. Kwon, J.I., Chung, J.H. & Lee, S.G., 2005a. Comparison of UNDEX whipping response of hull girder according to modeling method. Journal of the Society of Naval Architects of Korea, 42(6), pp.631-636. https://doi.org/10.3744/SNAK.2005.42.6.631
  10. Kwon, J.I., Chung, J.H. & Lee, S.G., 2005b. Whipping factor - a measure of damage potential of an UNDEX bubble pulse. Journal of the Society of Naval Architects of Korea, 42(6), pp.637-643. https://doi.org/10.3744/SNAK.2005.42.6.637
  11. Livermore Software Technology (LSTC), 2020. LS-Dyna Theory Manual, URL: https://www.lstc.com/products/ls-dyna. [Accessed 일, 월, 년]
  12. Lee, S.G., Kwon, J.I. & Chung, J.H., 2007. Integrated structural dynamic response analysis considering the UNDEX shock wave and gas bubble pulse. Journal of the Society of Naval Architects of Korea, 44(2), pp.148-153. https://doi.org/10.3744/SNAK.2007.44.2.148
  13. Lee, W.D., Jeong, Y.M., Choi, K.N. & Hur, D.S., 2019. Water wave propagation caused by underwater blasting in a 3D numerical wave tank. Journal of Ocean Engineering and Technology, 33(4), pp.364-376. https://doi.org/10.26748/KSOE.2019.002
  14. Mair, H.U., 1999. Review: Hydrocodes for structural response to underwater explosions. Shock and Vibration, 6(2), pp.81-96. https://doi.org/10.1155/1999/587105
  15. Price, R.S., 1979. Similitude equations for explosives fired underwater. Technical Report NSWC TR 80-299, NSWC.
  16. Snay, H.G., 1956. Hydrodynamics of underwater explosions. in Symposium on Naval Hydrodynamics, National Academy of Sciences, Washington, D.C., pp. 325-352.
  17. Simulia, 2018. Abaqus User Manual.
  18. You W., Chae M., Park J., & Lim, Y., 2018. Potential explosion risk comparison between SMR and DMR liquefaction processes at conceptual design stage of FLNG. Journal of Ocean Engineering and Technology, 32(3), pp.213-214. https://doi.org/10.26748/KSOE.2018.6.32.3.213