Skip to main content

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

  • Zhiwei Feng (a1), Jili Rong (a1), Abouzar Kaboudian (a2) and Boo Cheong Khoo (a3)

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.

Corresponding author
*Corresponding author. Email addresses: Feng), L. Rong), Kaboudian) C. Khoo)
Hide All
[1] Hamdan F. H., Near-field fluid-structure interaction using Lagrangian fluid finite elements, Comput. Struct., 71 (1999), 123141.
[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.
[3] Bilah K. Y. and Scanlan R. H., Resonance, Tacoma Narrows bridge failure, and undergraduate physics textbooks, Am. J. Phys., 59 (1991), 118124.
[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), 945963.
[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), 121133.
[6] Schäfer M., and Teschauer I., Numerical simulation of coupled fluid-solid problems, Comput. Method. Appl. M., 190 (2001), 36453667.
[7] Zhang C. and LeVeque R. J., The immersed interface method for acoustic wave equations with discontinuous coefficients, Wave motion, 25 (1997), 237263.
[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) 440465.
[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.
[10] Qin R. and Bhadeshia H., Phase field method, Mater. Sci. Technol., 26 (2010) 803811.
[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) 457492.
[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) 651681.
[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) 278302.
[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) 611632.
[15] Kaboudian A. and Khoo B. C., The ghost solid method for the elastic solid-solid interface, J. Comput. Phys., 257 (2014) 102125.
[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) 618652.
[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) 49754990.
[18] Chen Y. and Heister S. D., A numerical treatment for attached cavitation, J. Fluids Eng., 116 (1994) 613618.
[19] Lin X., Numerical computation of stress waves in solids, Vch Pub, 1996.
[20] Cirak F. and Radovitzky R., A Lagrangian-Eulerian shell-fluid coupling algorithm based on level sets, Comput. Struct., 83 (2005) 491498.
[21] Osher S. and Fedkiw R., Level set methods and dynamic implicit surfaces, Springer Science & Business Media, 2006.
[22] Kuttler U. and Wall W.A., Fixed-point fluid-structure interaction solvers with dynamic relaxation, Comput. Mech., 43 (2008) 6172.
[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) 4568.
[24] Davis J. R., Concise metals engineering data book, Asm International, 1997.
[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.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Communications in Computational Physics
  • ISSN: 1815-2406
  • EISSN: 1991-7120
  • URL: /core/journals/communications-in-computational-physics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *



Full text views

Total number of HTML views: 0
Total number of PDF views: 23 *
Loading metrics...

Abstract views

Total abstract views: 60 *
Loading metrics...

* Views captured on Cambridge Core between 31st October 2017 - 20th January 2018. This data will be updated every 24 hours.