3D Numerical Simulation on the Fluid-Structure Interaction of Structure Subjected to Underwater Explosion With Cavitation

ZHANG A-man; REN Shao-fei; LI Qing<; LI Jia

doi:10.3879/j.issn.1000-0887.2012.09.008

Volume 33 Issue 9

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2012 > 33(9): 1115-1128

ZHANG A-man, REN Shao-fei, LI Qingdoi: 10.3879/j.issn.1000-0887.2012.09.008

Citation:

ZHANG A-man, REN Shao-fei, LI Qing<, LI Jia. 3D Numerical Simulation on the Fluid-Structure Interaction of Structure Subjected to Underwater Explosion With Cavitation[J]. Applied Mathematics and Mechanics, 2012, 33(9): 1115-1128. doi: 10.3879/j.issn.1000-0887.2012.09.008

ZHANG A-man, REN Shao-fei, LI Qingdoi: 10.3879/j.issn.1000-0887.2012.09.008

Citation:

PDF( 10793 KB)

3D Numerical Simulation on the Fluid-Structure Interaction of Structure Subjected to Underwater Explosion With Cavitation

doi: 10.3879/j.issn.1000-0887.2012.09.008

¹College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, P.R.China;²China Ship Development and Design Center, Shanghai 201102, P.R.China

Received Date: 2010-11-29
Rev Recd Date: 2012-04-27
Publish Date: 2012-09-15

Abstract

Abstract

In an underwatershock environment, cavitation occurs near the structural surface. The dynamic response of fluidstructure interaction is influenced seriously by the cavitation effects. It is also the difficulty in the field of underwater explosion. With traditional boundary element method and finite element method (FEM), it is difficult to solve the nonlinear problem with cavitation effects subjected to underwater explosion. To solve this problem, in consideration of the cavitation effects and fluid compressibility, with fluid viscidity neglected, a 3D numerical model of transient nonlinear fluid-structure interaction subjected to underwater explosion was built. Fluid spectral element method (SEM) and finite element method were adopted to solve this model. After comparison with FEM, it is shown that SEM is more precise than 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 3D submerged spherical shell and ship stiffened plates subjected to underwater explosion were discussed, and the cavitation region and its influence on the structural dynamic responses were presented. The reference for relevant researches on transient fluidstructure interaction of ship structure subjected to underwater explosion is provided.
- underwater explosion,
- spectral element method,
- fluid-structure interaction,
- cavitation,
- spherical shell,
- stiffened plate

FullText(HTML)

References(24)

References

[1]	Kennard E H. Cavitation in an elastic liquid[J]. Physical Review, 1943, 63(5/6): 172-181.
[2]	Felippa C A, Deruntz J A. Finite element analysis of shock-induced hull cavitation[J]. Computer Methods in Applied Mechanics and Engineering, 1984, 44(3): 297-337.
[3]	Ranlet D, DiMaggio F L, Bleich H H, Baron M L. Elastic response of submerged shells with internally attached structures to shock loading[J]. Computers & Structures, 1977, 7(3): 355-364.
[4]	宫兆新, 鲁传敬, 黄华雄. 虚拟解法分析浸入边界法的精度[J].应用数学和力学, 2010, 31(10): 1141-1151. (GONG Zhao-xin, LU Chuan-jing, HUANG Hua-xiong. Accuracy analysis of immersed boundary method using method of manufactured solutions[J].Applied Mathematics and Mechanics(English Edition), 2010, 31(10): 1197-1208.)
[5]	Astley R J. Transient wave envelope elements for wave problems[J]. Journal of Sound and Vibration, 1996, 192(1): 245-261.
[6]	Geers T L. Residual potential and approximate methods for three-dimensional fluid-structure interaction problems[J]. Journal of the Acoustical Society of America, 1971, 49(5): 1505-1510.
[7]	Rnquist Einar M, Patera Anthony T. A Legendre spectral element method for the Stefan problem[J]. International Journal for Numerical Methods in Engineering, 1987, 24(12): 2273-2299.
[8]	Komatitsch D, Vilotte J P. The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures[J] . Bulletin of the Seismological Society of America, 1998, 88(2): 368-392.
[9]	Mulder W A. Spurious modes in finite-element discretizations of the wave equation may not be all that bad[J]. Applied Numerical Mathematics, 1999, 30(4): 425-445.
[10]	Giannakouros J. A spectral element-FCT method for the compressible Euler equations[J]. Journal of Computational Physics, 1994, 115(1): 65-85.
[11]	Fornberg B. A Practical Guide to Pseudo Spectral Methods[M]. USA: Cambridge University Press, 1998.
[12]	Fischer P F. Analysis and application of a parallel spectral element method for the solution of the Navier-Stokes equations[J]. Computer Methods in Applied Mechanics and Engineering, 1990, 80(1/3): 483-491.
[13]	Patera A T. A spectral element method for fluid dynamics: Laminar flow in a channel expansion[J]. Journal of Computational Physics, 1984, 54(3): 468-488.
[14]	Michael A S. Advanced computational techniques for the analysis of 3-D fluid-structure interaction with cavitation[D]. Boulder: University of Colorado at Boulder, 2002, 10-65.
[15]	BleichH H, Sandler I S. Interaction between structures and bilinear fluids[J]. International Journal of Solids and Structures, 1970, 6(5): 617-639.
[16]	Priolo E, Carcione J M, Seriani G. Numerical simulation of interface waves by high-order spectral modeling techniques[J]. Journal of the Acoustical Society of America, 1994, 95(2): 681-693.
[17]	Taflove A. A perspective on the 40-year history of FDTD computational electrodynamics[J]. Applied Computational Electromagnetics Society Journal, 2007, 22(1): 1-21.
[18]	Felippa C A, DeRuntz J A. Finite element analysis of shock-induced hull cavitation[J]. Computer Methods in Applied Mechanics and Engineering, 1984, 44(3): 297-337.
[19]	Hibbitt, Karlsson and Sorensen Inc. ABAQUS Analysis User’s Manual(Version 6.10)
[20]	[OL]. 2010.(http:abaqus.civil.uwa.edu.au:2080/v6.10/index.html)
[21]	Geers T L. An objective error measure for the comparison of calculated and measured transient response histories[J]. The Shock and Vibration Bulletin, 1984, 54(2): 99-108.
[22]	Huang H. Transient interaction of plane acoustic waves with a spherical elastic shell[J]. Journal of the Acoustical Society of America, 1969, 45(3): 661-670.
[23]	Huang H, Mair H U. Neoclassical solution of transient interaction of plane acoustic waves with a spherical elastic shell[J]. Shock and Vibration, 1996, 3(2): 85-98.
[24]	牟金磊, 朱锡, 张振华.水下爆炸作用下加筋板结构响应的数值仿真研究[J]. 船海工程, 2006, 6:12-16. (MU Jin-lei, ZHU Xi, ZHANG Zhen-hua. A study on numerical simulation of stiffened plates’s response under underwater explosion[J]. Ship & Ocean Engineering, 2006, 6: 12-16. (in Chinese))