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Simulations for the explosion in a water-filled tube including cavitation using the SPH method

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Abstract

The damage to a structure due to an underwater explosion, which must necessarily include the phenomenon of cavitation, is a difficult problem to simulate. In this paper, the smoothed particle hydrodynamics (SPH) method is used to address the simulation of a fully explicit three-dimensional (3D) underwater explosion in a rigid or deformable cylinder, incorporating properly the physical phenomenon of cavitation. To this purpose, a general 3D SPH code has been implemented using the Open-MP programming interface. The various components of the code have been validated using four test cases, namely the Sjögreen test case for validation of the Riemann solver, the 1D cavitating flow in an open tube test case for validation of the cavitation model, the 1D pentaerythritol tetranitrate detonation test case for validation of the Jones–Wilkins–Lee model and a 3D high-velocity impact test case for validation of the elastic–perfectly plastic constitutive model. Following this validation, a 3D explosion within a water-filled rigid cylinder and a water-filled deformable aluminum tube are simulated with the general SPH code. The results of these simulations are compared against some available experimental data and some numerical simulations obtained using an alternative approach. These comparisons are generally in good agreement with both the experimental and numerical data, demonstrating that the SPH method can be used to simulate general 3D underwater explosion problems.

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References

  1. Shin YS (2004) Ship shock modeling and simulation for far-field underwater explosion. Comput Struct 82(23–26):2211–2219

    Article  Google Scholar 

  2. Kim J, Shin H (2008) Application of the ALE technique for underwater explosion analysis of a submarine liquefied oxygen tank. Ocean Eng 35(8–9):812–822

    Article  Google Scholar 

  3. Wang Y, Liao C, Wang J, Wang W (2018) Numerical study for dynamic response of marine sediments subjected to underwater explosion. Ocean Eng 156:72–81

    Article  Google Scholar 

  4. Zhang Z, Wang C, Wang L, Zhang A, Silberschmidt VV (2018) Underwater explosion of cylindrical charge near plates: analysis of pressure characteristics and cavitation effects. Int J Impact Eng 121:91–105

    Article  Google Scholar 

  5. Gingold RA, Monaghan JJ (1977) Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon Not R Astron Soc 181(3):375–389

    Article  MATH  Google Scholar 

  6. Lucy LB (1977) A numerical approach to the testing of the fission hypothesis. Astron J 82:1013–1024

    Article  Google Scholar 

  7. Swegle J, Attaway S (1995) On the feasibility of using smoothed particle hydrodynamics for underwater explosion calculations. Comput Mech 17(3):151–168

    Article  MATH  Google Scholar 

  8. Liu M, Liu G, Lam K (2002) Investigations into water mitigation using a meshless particle method. Shock Waves 12(3):181–195

    Article  Google Scholar 

  9. Fan H, Li S (2017) Parallel peridynamics-SPH simulation of explosion induced soil fragmentation by using OpenMP. Comput Part Mech 4(2):199–211

    Article  Google Scholar 

  10. Fan HF, Li SF (2017) A peridynamics-SPH modeling and simulation of blast fragmentation of soil under buried explosive loads. Comput Methods Appl Mech Eng 318:349–381

    Article  MathSciNet  Google Scholar 

  11. Zhao XH, Wang GH, Lu WB, Yan P, Chen M, Zhou CB (2018) Damage features of RC slabs subjected to air and underwater contact explosions. Ocean Eng 147:531–545

    Article  Google Scholar 

  12. Zhang A, Yang W, Huang C, Ming F (2013) Numerical simulation of column charge underwater explosion based on SPH and BEM combination. Comput Fluids 71:169–178

    Article  MathSciNet  MATH  Google Scholar 

  13. Chen JY, Lien FS (2018) Simulations for soil explosion and its effects on structures using SPH method. Int J Impact Eng 112:41–51

    Article  Google Scholar 

  14. Chen JY, Peng C, Lien FS (2019) Simulations for three-dimensional landmine detonation using the SPH method. Int J Impact Eng 126:40–49

    Article  Google Scholar 

  15. Liu GR, Liu MB (2003) Smoothed particle hydrodynamics: a meshfree particle method. World Scientific, Singapore

    Book  MATH  Google Scholar 

  16. Liu T, Khoo B, Xie W (2004) Isentropic one-fluid modelling of unsteady cavitating flow. J Comput Phys 201(1):80–108

    Article  MathSciNet  MATH  Google Scholar 

  17. Jafarian A, Pishevar A (2017) An exact multiphase Riemann solver for compressible cavitating flows. Int J Multiph Flow 88:152–166

    Article  MathSciNet  Google Scholar 

  18. Monaghan JJ (1988) An introduction to SPH. Comput Phys Commun 48(1):89–96

    Article  MATH  Google Scholar 

  19. Randles PW, Libersky LD (1996) Smoothed particle hydrodynamics: some recent improvements and applications. Comput Methods Appl Mech Eng 139(1–4):375–408

    Article  MathSciNet  MATH  Google Scholar 

  20. Johnson GR, Cook WH (1983) A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. In: Proceedings of the 7th international symposium on ballistics, vol 21, The Hague, The Netherlands, pp 541–547

  21. Libersky LD, Petschek AG, Carney TC, Hipp JR, Allahdadi FA (1993) High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response. J Comput Phys 109(1):67–75

    Article  MATH  Google Scholar 

  22. Lee EL, Tarver CM (1980) Phenomenological model of shock initiation in heterogeneous explosives. Phys Fluids 23(12):2362–2372

    Article  Google Scholar 

  23. Steinberg D (1987) Spherical explosions and the equation of state of water. Technical report, Lawrence Livermore National Laboratory, CA (USA)

  24. Wang P, Zhang A, Ming F, Sun P, Cheng H (2019) A novel non-reflecting boundary condition for fluid dynamics solved by smoothed particle hydrodynamics. J Fluid Mech 860:81–114

    Article  MathSciNet  MATH  Google Scholar 

  25. Xie W, Liu T, Khoo B (2006) Application of a one-fluid model for large scale homogeneous unsteady cavitation: the modified Schmidt model. Comput Fluids 35(10):1177–1192

    Article  MATH  Google Scholar 

  26. Monaghan JJ (1994) Simulating free surface flows with SPH. J Comput Phys 110(2):399–406

    Article  MATH  Google Scholar 

  27. Adami S, Hu XY, Adams NA (2012) A generalized wall boundary condition for smoothed particle hydrodynamics. J Comput Phys 231(21):7057–7075

    Article  MathSciNet  Google Scholar 

  28. Peng C, Wu W, Yu HS, Wang C (2015) A SPH approach for large deformation analysis with hypoplastic constitutive model. Acta Geotech 10(6):703–717

    Article  Google Scholar 

  29. Sirotkin FV, Yoh JJ (2013) A smoothed particle hydrodynamics method with approximate Riemann solvers for simulation of strong explosions. Comput Fluids 88:418–429

    Article  MathSciNet  MATH  Google Scholar 

  30. Chambers G, Sandusky H, Zerilli F, Rye K, Tussing R, Forbes J (2001) Pressure measurements on a deforming surface in response to an underwater explosion in a water-filled aluminum tube. Shock Vib 8(1):1–7

    Article  Google Scholar 

  31. Plassard F, Mespoulet J, Hereil P (2011) Hypervelocity impact of aluminium sphere against aluminium plate: experiment and LS-DYNA correlation. In: Proceedings of the 8th European LS-DYNA users conference, Strasbourg, France, pp 23–24

  32. Wardlaw JA, McKeown R, Luton A (1998) Coupled hydrocode prediction of underwater explosion damage. Technical report, Naval Surface Warfare Center, Indian Head, MD

  33. Cowper GR, Symonds PS (1957) Strain-hardening and strain-rate effects in the impact loading of cantilever beams. Technical report, Brown University, Providence, RI

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Acknowledgements

The authors acknowledge the facilities of the Shared Hierarchical Academic Research Computing Network (SHARCNET: www.sharcnet.ca) and Compute/Calcul Canada. The first author is supported by the China Scholarship Council (No. 201506030072) and the Natural Sciences and Engineering Research Council of Canada (NSERC).

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Authors and Affiliations

  1. Department of Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON, N2L 3G1, Canada

    Jian-Yu Chen, Fue-Sang Lien & Eugene Yee

  2. ESS Engineering Software Steyr GmbH, Berggasse 35, 4400, Steyr, Austria

    Chong Peng

  3. Institut für Geotechnik, Universität für Bodenkultur, Feistmantelstrasse 4, 1180, Vienna, Austria

    Chong Peng

  4. Key Laboratory of Metallurgical Equipment and Control Technology of Ministry of Education, Wuhan University of Science and Technology, Wuhan, 430081, Hubei, China

    Fue-Sang Lien

  5. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, China

    Xiao-Hua Zhao

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  1. Jian-Yu Chen
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  2. Chong Peng
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  4. Eugene Yee
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  5. Xiao-Hua Zhao
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Correspondence to Chong Peng.

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Chen, JY., Peng, C., Lien, FS. et al. Simulations for the explosion in a water-filled tube including cavitation using the SPH method. Comp. Part. Mech. 6, 515–527 (2019). https://doi.org/10.1007/s40571-019-00230-7

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  • DOI: https://doi.org/10.1007/s40571-019-00230-7

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