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Towards development of a reliable fully-Lagrangian MPS-based FSI solver for simulation of 2D hydroelastic slamming

  • Khayyer, Abbas (Department of Civil and Earth Resources Engineering, Kyoto University, Katsura Campus) ;
  • Gotoh, Hitoshi (Department of Civil and Earth Resources Engineering, Kyoto University, Katsura Campus) ;
  • Falahaty, Hosein (Department of Civil and Earth Resources Engineering, Kyoto University, Katsura Campus) ;
  • Shimizu, Yuma (Department of Civil and Earth Resources Engineering, Kyoto University, Katsura Campus) ;
  • Nishijima, Yusuke (Department of Civil and Earth Resources Engineering, Kyoto University, Katsura Campus)
  • 투고 : 2017.07.21
  • 심사 : 2017.08.17
  • 발행 : 2017.09.25

초록

The paper aims at illustrating several key issues and ongoing efforts for development of a reliable fully-Lagrangian particle-based solver for simulation of hydroelastic slamming. Fluid model is founded on the solution of Navier-Stokes along with continuity equations via an enhanced version of a projection-based particle method, namely, Moving Particle Semi-implicit (MPS) method. The fluid model is carefully coupled with a structure model on the basis of conservation of linear and angular momenta for an elastic solid. The developed coupled FSI (Fluid-Structure Interaction) solver is applied to simulations of high velocity impact of an elastic aluminum wedge and hydroelastic slammings of marine panels. Validations are made both qualitatively and quantitatively in terms of reproduced pressure as well as structure deformation. Several remaining challenges as well as important key issues are highlighted. At last, a recently developed multi-scale MPS method is incorporated in the developed FSI solver towards enhancement of its adaptivity.

키워드

참고문헌

  1. Allen, T. (2013), "Mechanics of flexible composite hull panels subjected to water impacts", Ph.D. Dissertation, University of Auckland, New Zealand.
  2. Aly, A.M., Asai, M., and Sonoda, Y. (2011), "Simulation of free falling rigid body into water by a stabilized incompressible SPH method", Ocean Syst. Eng., 1(3), 207-222. https://doi.org/10.12989/ose.2011.1.3.207
  3. Antoci, C., Gallati, M. and Sibilla, S. (2007), "Numerical simulation of fluid-structure interaction by SPH", Comput. Struct., 85, 879-890. https://doi.org/10.1016/j.compstruc.2007.01.002
  4. Aquelet, N. and Souli, M. (2003), "Damping effect in fluid-structure interaction: application to slamming problem", Proceedings of the ASME Pressure Vessel and Piping Conference, Cleveland, OH, USA.
  5. Bathe, K.J. and Irfan Baig, M.M. (2005), "On a composite implicit time integration procedure for nonlinear dynamics", Comput. Struct., 83, 2513-2524. https://doi.org/10.1016/j.compstruc.2005.08.001
  6. Camilleri, J., Temarel, P. and Taunton, D. (2015), "Two-dimensional numerical modelling of slamming impact loads on high-speed craft", Proceedings of the 7th International Conference on Hydroelasticity in Marine Technology Split, Croatia.
  7. Campbell, J.C., Vignjevic, R. and Patel, M. (2010), "Modelling fluid-structure impact with the coupled FESPH approach", Proceedings of the William Froude Conference on Advances in Theoretical and Applied Hydrodynamic, Portsmouth, UK.
  8. Das, K. and Batra, R. (2011), "Local water slamming impact on sandwich composite hulls", J. Fluid. Struct., 27, 523-551. https://doi.org/10.1016/j.jfluidstructs.2011.02.001
  9. De Backer, G., Vantorre, M., Beels, C., De Pre, J., Victor, S., De Rouck, J., Blommaert, C. and Van Paepegem, W. (2009), "Experimental investigation of water impact on axisymmetric bodies", Appl. Ocean Res., 31, 143-156 https://doi.org/10.1016/j.apor.2009.07.003
  10. Faltinsen, O.M. (1999), "Water entry of a wedge by hydroelastic orthotropic plate theory", J. Ship Res., 43, 180-193.
  11. Faltinsen, O.M. (2002), "Water entry of a wedge with finite deadrise angle", J. Ship Res., 46, 39-51.
  12. Fourey, G., Oger, G., Le Touze, D. and Alessandrini, B. (2010), "Violent Fluid-Structure Interaction simulations using a coupled SPH/FEM method", IOP Conf. Series: Materials Science and Engineering, 10, 012041.
  13. Gingold, R.A. and Monaghan, J.J. (1977). "Smoothed particle hydrodynamics - theory and application to nonspherical stars", Mon. Not. R. Astron. Soc., 181, 375-389. https://doi.org/10.1093/mnras/181.3.375
  14. Gotoh, H. and Khayyer, A. (2016), "Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering", J. Ocean Eng. Mar. Energy, 2, 251-278. https://doi.org/10.1007/s40722-016-0049-3
  15. Gotoh, H., Shibahara, T. and Sakai, T. (2001) "Sub-particle-scale turbulence model for the MPS method-Lagrangian flow model for hydraulic engineering", Comput. Fluid Dyn., 9(4), 339-347.
  16. Hwang, S.C., Khayyer, A., Gotoh, H. and Park, J.C. (2014), "Development of a fully Lagrangian MPS-based coupled method for simulation of fluid-structure interaction problems", J. Fluid. Struct., 50, 497-511. https://doi.org/10.1016/j.jfluidstructs.2014.07.007
  17. Hwang, S.C., Khayyer, A., Gotoh, H. and Park, J.C. (2015), "Simulations of incompressible fluid flow-elastic structure interactions by a coupled fully Lagrangian solver", Proceedings of the 25th International Ocean and Polar Engineering Conference Kona, Big Island, Hawaii, USA.
  18. Hwang, S.C., Park, J.C., Gotoh, H., Khayyer, A. and Kang, K.J. (2016), "Numerical simulations of sloshing flows with elastic baffles by using a particle-based fluid-structure interaction analysis method", Ocean Eng., 118, 227-241. https://doi.org/10.1016/j.oceaneng.2016.04.006
  19. Khayyer, A. and Gotoh, H. (2009), "Modified moving particle semi-implicit methods for the prediction of 2D wave impact pressure", Coast. Eng., 56, 419-440. https://doi.org/10.1016/j.coastaleng.2008.10.004
  20. Khayyer, A. and Gotoh, H. (2010), "A higher order Laplacian model for enhancement and stabilization of pressure calculation by the MPS method", Appl. Ocean Res., 32, 124-131. https://doi.org/10.1016/j.apor.2010.01.001
  21. Khayyer, A. and Gotoh, H. (2011), "Enhancement of stability and accuracy of the moving particle semiimplicit method", J. Comput. Phys., 230, 3093-3118. https://doi.org/10.1016/j.jcp.2011.01.009
  22. Khayyer, A. and Gotoh, H. (2013), "Enhancement of performance and stability of MPS meshfree particle method for multiphase flows characterized by high density ratios", J. Comput. Phys., 242, 211-233. https://doi.org/10.1016/j.jcp.2013.02.002
  23. Khayyer, A. and Gotoh, H. (2016), "A multiphase compressible-incompressible particle method for water slamming", Int. J. Offshore Polar., 26(1), 20-25.
  24. Khayyer, A., Gotoh, H. and Shimizu, Y. (2017a), "Comparative study on accuracy and conservation properties of two particle regularization schemes and proposal of an optimized particle shifting scheme in ISPH context", J. Comput. Phys., 332, 236-256. https://doi.org/10.1016/j.jcp.2016.12.005
  25. Khayyer, A., Gotoh, H., Shimizu, Y. and Gotoh, K. (2017b), "On enhancement of energy conservation properties of projection-based particle methods", Eur. J. Mech. B/Fluids, 66, 20-37. https://doi.org/10.1016/j.euromechflu.2017.01.014
  26. Kondo, M., Tanaka, M., Harada, T. and Koshizuka, S. (2007), "Elastic objects for computer graphic field using MPS method", ACM SIGGRAPH 2007 poster (p. 53). ACM., San Diego, USA.
  27. Koshizuka, S. (2005), Ryushiho (Particle Method), Maruzen, Japan (in Japanese).
  28. Koshizuka, S. and Oka, Y. (1996), "Moving particle semi-implicit method for fragmentation of incompressible fluid", Nuclear. Sci. Eng., 123, 421-434. https://doi.org/10.13182/NSE96-A24205
  29. Lind S.J., Xu R., Stansby P.K. and Rogers B.D. (2012), "Incompressible smoothed particle hydrodynamics for free-surface flows: a generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves", J. Comput. Phys., 231(4), 1499-1523. https://doi.org/10.1016/j.jcp.2011.10.027
  30. Lind, S.J., Stansby, P.K., Rogers, B.D. and Lloyd, P.M. (2015), "Numerical predictions of water-air wave slam using incompressible-compressible smoothed particle hydrodynamics", Appl. Ocean Res., 49, 57-71. https://doi.org/10.1016/j.apor.2014.11.001
  31. Liu, W., Wu, W. and Suzuki, K. (2015), "Dynamic strength of a ship based on 2D hydroelasto-plasticity and FEM in extreme waves", Proceedings of the 25th International Ocean and Polar Engineering Conference Kona, Big Island, Hawaii, USA.
  32. Lucy, L.B. (1977), "A numerical approach to the testing of fission hypothesis", Astronom. J., 82, 1013-1024. https://doi.org/10.1086/112164
  33. Marsden, J.E. and Hughes, T.J.R. (1983), "Mathematical Foundations of Elasticity", Prentice Hall: Englewood Cliffs, NJ, ISBN 0-486-67865-2, 556.
  34. Meringolo, D.D., Colagrossi, A., Marrone, S. and Aristodemo, F. (2017), "On the filtering of acoustic components in weakly-compressible SPH simulations", J. Fluid. Struct., 70, 1-23. https://doi.org/10.1016/j.jfluidstructs.2017.01.005
  35. Oger, G., Guilcher, P.M., Jacquin, E., Brosset, L., Deuff, J.B. and Le Touze, D. (2010), "Simulations of hydroelastic impacts using a parallel SPH model", Int. J. Offshore Polar., 20(3), 181-189.
  36. Panciroli, R., Abrate, S., Minak, G. and Zucchelli, A. (2012), "Hydroelasticity in water-entry problems: comparison between experimental and sph results", Compos. Struct., 94, 532-539. https://doi.org/10.1016/j.compstruct.2011.08.016
  37. Peseux, B., Gornet, L. and Donguy, B. (2005), "Hydrodynamic impact: numerical and experimental investigations", J. Fluid. Struct., 21, 277-303. https://doi.org/10.1016/j.jfluidstructs.2005.04.011
  38. Rabczuk, T., Belytschko, T. and Xiao, S.P. (2004), "Stable particle methods based on Lagrangian kernels", Comput. Method. Appl. Mech., 193, 1035-1063. https://doi.org/10.1016/j.cma.2003.12.005
  39. Randles, P.W. and Libersky, L.D. (2000), "Normalized SPH with stress points", Int. J. Numer. Meth. Eng., 48, 1445-1462. https://doi.org/10.1002/1097-0207(20000810)48:10<1445::AID-NME831>3.0.CO;2-9
  40. Scolan, Y.M. (2004), "Hydro-elastic behavior of a conical shell impacting on a quiescent-free surface of an incompressible liquid", J. Sound Vib., 277, 163-203. https://doi.org/10.1016/j.jsv.2003.08.051
  41. Slaughter, W.S. (2002), "The linearized theory of elasticity", Springer Science + Business Media, LLC, New York, ISBN 978-1-4612-6608-2, 543.
  42. Stenius, I., Rosen, A., Battley, M. and Allen, T. (2013), "Experimental hydroelastic characterization of slamming loaded marine panels", Ocean Eng., 74, 1-15. https://doi.org/10.1016/j.oceaneng.2013.09.007
  43. Sun, H. and Faltinsen, O.M. (2006), "Water impact of horizontal circular cylinders and cylindrical shells", Appl. Ocean Res., 28, 299-311. https://doi.org/10.1016/j.apor.2007.02.002
  44. Sun, Z., Xing, J.T., Djidjeli, K. and Cheng, F. (2015), "Coupling MPS and modal superposition method for flexible wedge dropping simulation", Proceedings of the 25th International Ocean and Polar Engineering Conference Kona, Big Island, Hawaii, USA.
  45. Tay, Z.Y. and Wang, C.M. (2012), "Reducing hydroelastic response of very large floating structures by altering their plan shapes", Ocean Syst. Eng., 2(1), 69-81. https://doi.org/10.12989/ose.2012.2.1.069
  46. Tsuruta, N., Khayyer, A. and Gotoh, H. (2013), "A short note on dynamic stabilization of moving particle semi-implicit method", Comput. Fluids, 82, 158-164. https://doi.org/10.1016/j.compfluid.2013.05.001
  47. Tsuruta, N., Khayyer, A. and Gotoh, H. (2016), "A novel refinement technique for projection-based particle methods", Proceedings of the 11th international SPHERIC workshop, Munich, Germany, June 2016.
  48. Wagner, H. (1932), "Uber stoss und gleitvorgange an der oberflache von flussigkeiten", Zeitschrift fur Angewandte Mathematik und Mechanik, 12.
  49. Wang, J., Lugni, C. and Faltinsen, O.M. (2015), "Experimental and numerical investigation of a freefall wedge vertically entering the water surface", Appl. Ocean Res., 51, 181-203. https://doi.org/10.1016/j.apor.2015.04.003
  50. Wendland, H. (1995), "Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree", Adv. Comput. Math., 4, 389-396. https://doi.org/10.1007/BF02123482
  51. Yang, Q., Jones, V. and McCue, L. (2012), "Free-surface flow interactions with deformable structures using an SPH-FEM model", Ocean Eng., 55, 136-147. https://doi.org/10.1016/j.oceaneng.2012.06.031
  52. Zhang, Y., Tang, Z. and Wan, D. (2016), "MPS-FEM coupled method for interaction between sloshing flow and elastic structure in rolling tanks", Proceedings of the 7th International Conference on Computational Methods (ICCM2016), August 1st-4th, Berkeley, CA, USA.
  53. Zhao, R. and Faltinsen, O.M. (1993), "Water entry of two-dimensional bodies", J. Fluid Mech., 246, 593-612. https://doi.org/10.1017/S002211209300028X
  54. Zhao, Y., Chen, H.C. and Yu, X. (2015), "Numerical simulation of wave slamming on 3D offshore platform deck using a coupled Level-Set and Volume-of-Fluid method for overset grid system", Ocean Syst. Eng., 5(4), 245-259. https://doi.org/10.12989/ose.2015.5.4.245

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