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The Modified Ghost Method for Compressible Multi-Medium Interaction with Elastic-Plastic Solid

Part of: Numerical methods Two-phase and multiphase flows Coupling of solid mechanics with other effects Equations of mathematical physics and other areas of application

Published online by Cambridge University Press:  31 October 2017

Zhiwei Feng ,
Jili Rong ,
Abouzar Kaboudian  and
Boo Cheong Khoo
Zhiwei Feng*
Affiliation:
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, P.R. China
Jili Rong*
Affiliation:
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, P.R. China
Abouzar Kaboudian*
Affiliation:
School of Physics, Georigia Institute of Technology, Atlanta GA 30332-0400, USA
Boo Cheong Khoo*
Affiliation:
Department of Mechanical Engineering, National University of Singapore, 5A Engineering Drive 1, 02-02, Singapore
*
*Corresponding author. Email addresses:[email protected](Z.W. Feng), [email protected](J. L. Rong), [email protected](A. Kaboudian) [email protected](B. C. Khoo)
*Corresponding author. Email addresses:[email protected](Z.W. Feng), [email protected](J. L. Rong), [email protected](A. Kaboudian) [email protected](B. C. Khoo)
*Corresponding author. Email addresses:[email protected](Z.W. Feng), [email protected](J. L. Rong), [email protected](A. Kaboudian) [email protected](B. C. Khoo)
*Corresponding author. Email addresses:[email protected](Z.W. Feng), [email protected](J. L. Rong), [email protected](A. Kaboudian) [email protected](B. C. Khoo)
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Abstract

In this work, a robust, consistent, and coherent approach, termed as Modified Ghost Method (MGM), is developed to deal with the multi-medium interaction with elastic-plastic solid. This approach is simple to implement and keeps the solvers intact, and can handle multi-medium problems which involve various media including gas, liquid and solid. The MGM is first validated by two-dimensional (2D) cases and then is applied to study the interaction between elastic-plastic solid structure and the underwater explosion. The development of the wave system is described and analyzed. Furthermore, two kinds of complex solid structure subjected to underwater explosion are simulated. Finally, a complex solid structure immersed in water subjected to underwater explosion is simulated and analyzed. The numerical experiments show the viability, effectiveness and versatility of the proposed method which is able to accurately predict the wave pattern at various interfaces.

Keywords

Multi-medium interactionmodified ghost methodelastic-plastic solidcomplex solid structure

MSC classification

Secondary: 35Q31: Euler equations 74F10: Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 74S20: Finite difference methods 76T99: None of the above, but in this section
Type
Research Article
Information
Communications in Computational Physics , Volume 22 , Issue 5 , November 2017 , pp. 1258 - 1285
Copyright
Copyright © Global-Science Press 2017 

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References

[1] Hamdan, F. H., Near-field fluid-structure interaction using Lagrangian fluid finite elements, Comput. Struct., 71 (1999), 123–141.Google Scholar
[2] Turek, S., Hron, J., Madlik, M., Razzaq, M., Wobker, H. and Ackder, J., Numerical simulation and benchmarking of a monolithic multigrid solver for fluid-structure interaction problems with application to hemodynamics, Springer, 2011.Google Scholar
[3] Bilah, K. Y. and Scanlan, R. H., Resonance, Tacoma Narrows bridge failure, and undergraduate physics textbooks, Am. J. Phys., 59 (1991), 118–124.Google Scholar
[4] Wüchner, R., Kupzok, A. and Bletzinger, K. U., A framework for stabilized partitioned analysis of thin membrane-wind interaction, Int. J. Numer. Methods Fluids, 54 (2007), 945–963.Google Scholar
[5] Fathallah, E., Qi, H., Tong, L. and Helal, M., Numerical investigation of the dynamic response of optimized composite elliptical submersible pressure hull subjected to non-contact underwater explosion, Compos. Struct., 121 (2015), 121–133.Google Scholar
[6] Schäfer, M., and Teschauer, I., Numerical simulation of coupled fluid-solid problems, Comput. Method. Appl. M., 190 (2001), 3645–3667.Google Scholar
[7] Zhang, C. and LeVeque, R. J., The immersed interface method for acoustic wave equations with discontinuous coefficients, Wave motion, 25 (1997), 237–263.Google Scholar
[8] Wang, Y., Shu, C., Teo, C. and Wu, J., An immersed boundary-lattice Boltzmann flux solver and its applications to fluid-structure interaction problems, J. Fluids Struct., 54 (2015) 440–465.Google Scholar
[9] Anderson, J. C., Garth, C., Duchaineau, M. A. and Joy, K. I., Discrete Multi-Material Interface Reconstruction for Volume Fraction Data, Comput. Graph. Forum, 27, 3 (2008), 1015C1022.Google Scholar
[10] Qin, R. and Bhadeshia, H., Phase field method, Mater. Sci. Technol., 26 (2010) 803–811.Google Scholar
[11] Fedkiw, R. P., Aslam, T., Merriman, B. and Osher, S., A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method), J. Comput. Phys., 152 (1999) 457–492.CrossRefGoogle Scholar
[12] Liu, T. G., Khoo, B. C. and Yeo, K. S., Ghost fluid method for strong shock impacting on material interface, J. Comput. Phys., 190 (2003) 651–681.Google Scholar
[13] Wang, C. W., Liu, T. G. and Khoo, B. C., A real ghost fluid method for the simulation of multimedium compressible flow, SIAM J. Sci. Comput., 28 (2006) 278–302.CrossRefGoogle Scholar
[14] Liu, T. G., Chowdhury, A. W. and Khoo, B.C., The Modified Ghost Fluid Method Applied to Fluid-Elastic Structure Interaction, Adv. Appl. Math. Mech., 3 (2011) 611–632.Google Scholar
[15] Kaboudian, A. and Khoo, B. C., The ghost solid method for the elastic solid-solid interface, J. Comput. Phys., 257 (2014) 102–125.Google Scholar
[16] Kaboudian, A., Tavallai, P. and Khoo, B. C., The ghost solid methods for the elastic-plastic solid-solid interface and the theta-criterion, J. Comput. Phys., 302 (2015) 618–652.Google Scholar
[17] Xu, L. and Liu, T., Accuracies and conservation errors of various ghost fluid methods for multi-medium Riemann problem, J. Comput. Phys., 230 (2011) 4975–4990.Google Scholar
[18] Chen, Y. and Heister, S. D., A numerical treatment for attached cavitation, J. Fluids Eng., 116 (1994) 613–618.Google Scholar
[19] Lin, X., Numerical computation of stress waves in solids, Vch Pub, 1996.Google Scholar
[20] Cirak, F. and Radovitzky, R., A Lagrangian-Eulerian shell-fluid coupling algorithm based on level sets, Comput. Struct., 83 (2005) 491–498.Google Scholar
[21] Osher, S. and Fedkiw, R., Level set methods and dynamic implicit surfaces, Springer Science & Business Media, 2006.Google Scholar
[22] Kuttler, U. and Wall, W.A., Fixed-point fluid-structure interaction solvers with dynamic relaxation, Comput. Mech., 43 (2008) 61–72.Google Scholar
[23] Liu, T. G., Ho, J. Y., Khoo, B. C. and Chowdhury, A.W., Numerical simulation of fluid-structure interaction using modified Ghost Fluid Method and Naviers equations, J. Sci. Comput., 36 (2008) 45–68.Google Scholar
[24] Davis, J. R., Concise metals engineering data book, Asm International, 1997.Google Scholar
[25] Michaelsen, P. M., Pritz, B. and Gabi, M., A Fluid-Structure-Interaction tool by coupling of existing codes, Proceedings of the 20th European MPI Users’ Group Meeting. ACM, (2013) 157-162.Google Scholar