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3D numerical simulation on fluid-structure interaction of structure subjected to underwater explosion with cavitation

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Abstract

In the underwater-shock environment, cavitation occurs near the structural surface. The dynamic response of fluid-structure interactions is influenced seriously by the cavitation effects. It is also the difficulty in the field of underwater explosion. With the traditional boundary element method and the finite element method (FEM), it is difficult to solve the nonlinear problem with cavitation effects subjected to the underwater explosion. To solve this problem, under the consideration of the cavitation effects and fluid compressibility, with fluid viscidity being neglected, a 3D numerical model of transient nonlinear fluid-structure interaction subjected to the underwater explosion is built. The fluid spectral element method (SEM) and the FEM are adopted to solve this model. After comparison with the FEM, it is shown that the SEM is more precise than the FEM, and the SEM results are in good coincidence with benchmark results and experiment results. Based on this, combined with ABAQUS, the transient fluid-structure interaction mechanism of the 3D submerged spherical shell and ship stiffened plates subjected to the underwater explosion is discussed, and the cavitation region and its influence on the structural dynamic responses are presented. The paper aims at providing references for relevant research on transient fluid-structure interaction of ship structures subjected to the underwater explosion.

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References

  1. Kennard, E. H. Cavitation in an elastic liquid. Physical Review, 63(5–6), 172–181 (1943)

    Article  Google Scholar 

  2. Felippa, C. A. and Deruntz, J. A. Finite element analysis of shock-induced hull cavitation. Computer Methods in Applied Mechanics and Engineering, 44(3), 297–337 (1984)

    Article  MATH  Google Scholar 

  3. Ranlet, D., DiMaggio, F. L., Bleich, H. H., and Baron, M. L. Elastic response of submerged shells with internally attached structures to shock loading. Computers and Structures, 7(3), 355–364 (1977)

    Article  MATH  Google Scholar 

  4. Gong, Z. X., Lu, C. J., and Huang, H. X. Accuracy analysis of immersed boundary method using method of manufactured solutions. Applied Mathematics and Mechanics (English Edition), 31(10), 1197–1208 (2010) DOI 10.1007/s10483-010-1353-x

    Article  MathSciNet  MATH  Google Scholar 

  5. Astley, R. J. Transient wave envelope elements for wave problems. Journal of Sound and Vibration, 192(1), 245–261 (1996)

    Article  Google Scholar 

  6. Geers, T. L. Residual potential and approximate methods for three-dimensional fluid-structure interaction problems. Journal of the Acoustical Society of America, 49(5), 1505–1510 (1971)

    Article  Google Scholar 

  7. Einar, M. R. and Anthony, T. P. A Legendre spectral element method for the Stefan problem. International Journal for Numerical Methods in Engineering, 24(12), 2273–2299 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  8. Komatitsch, D. and Vilotte, J. P. The spectral element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures. Bulletin of the Seismological Society of America, 88(2), 368–392 (1998)

    Google Scholar 

  9. Mulder, W. A. Spurious modes in finite-element discretizations of the wave equation may not be all that bad. Applied Numerical Mathematics, 30(4), 425–445 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  10. Giannakouros, J. A spectral element-FCT method for the compressible euler equations. Journal of Computational Physics, 115(1), 65–85 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  11. Fornberg, B. A Practical Guide to Pseudo spectral Methods, Cambridge University Press, Cambridge (1998)

    Google Scholar 

  12. Fischer, P. F. Analysis and application of a parallel spectral element method for the solution of the Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering, 80(1–3), 483–491 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  13. Patera, A. T. A spectral element method for fluid dynamics: laminar flow in a channel expansion. Journal of Computational Physics, 54(3), 468–488 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  14. Michael, A. S. Advanced Computational Techniques for the Analysis of 3D Fluid-Structure Interaction with Cavitation, Ph. D. dissertation, University of Colorado at Boulder, 10–65 (2002)

  15. Bleich, H. H. and Sandler, I. S. Interaction between structures and bilinear fluids. International Journal of Solids and Structures, 6(5), 617–639 (1970)

    Article  MATH  Google Scholar 

  16. Priolo, E., Carcione, J. M., and Seriani, G. Numerical simulation of interface waves by high-order spectral modeling techniques. Journal of the Acoustical Society of America, 95(2), 681–693 (1994)

    Article  Google Scholar 

  17. Taflove, A. A perspective on the 40-year history of FDTD computational electrodynamics. Applied Computational Electromagnetics Society Journal, 22(1), 1–21 (2007)

    Google Scholar 

  18. Felippa, C. A. and DeRuntz, J. A. Finite element analysis of shock-induced hull cavitation. Computer Methods in Applied Mechanics and Engineering, 44(3), 297–337 (1984)

    Article  MATH  Google Scholar 

  19. Hibbitt, Karlsson, and Sorensen Inc. ABAQUS Analysis User’s Manual, http://abaqus.civil.uwa.edu.au:2080/v6.10/index.html (2010)

  20. Geers, T. L. An objective error measure for the comparison of calculated and measured transient response histories. The Shock and Vibration Bulletin, 54(2), 99–108 (1984)

    Google Scholar 

  21. Huang, H. Transient interaction of plane acoustic waves with a spherical elastic shell. Journal of the Acoustical Society of America, 45(3), 661–670 (1969)

    Article  Google Scholar 

  22. Huang, H. and Mair, H. U. Neoclassical solution of transient interaction of plane acoustic waves with a spherical elastic shell. Shock and Vibration, 3(2), 85–98 (1996)

    Google Scholar 

  23. Mu, J. L., Zhu, X., and Zhang, Z. H. A study on numerical simulation of stiffened plate response under underwater explosion (in Chinese). Ship and Ocean Engineering, 6, 12–16 (2006)

    Google Scholar 

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Authors and Affiliations

  1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, 150001, P. R. China

    A-man Zhang  (张阿漫), Shao-fei Ren  (任少飞) & Jia Li  (李 佳)

  2. China Ship Development and Design Center, Shanghai, 201102, P. R. China

    Qing Li  (李 青)

Authors
  1. A-man Zhang  (张阿漫)
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  2. Shao-fei Ren  (任少飞)
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  3. Qing Li  (李 青)
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  4. Jia Li  (李 佳)
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Corresponding author

Correspondence to Shao-fei Ren  (任少飞).

Additional information

Project supported by the Program for New Century Excellent Talents in University (No. NCET-10-0054), the Fok Ying-Tong Education Foundation, China (No. 121073), the National Natural Science Foundation of China (No. 10976008), and the State Key Program of National Natural Science of China (No. 50939002)

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Zhang, Am., Ren, Sf., Li, Q. et al. 3D numerical simulation on fluid-structure interaction of structure subjected to underwater explosion with cavitation. Appl. Math. Mech.-Engl. Ed. 33, 1191–1206 (2012). https://doi.org/10.1007/s10483-012-1615-8

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  • DOI: https://doi.org/10.1007/s10483-012-1615-8

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