Abstract
Fluid-Structure Interaction (FSI) caused by fluid impacting onto a flexible structure commonly occurs in naval architecture and ocean engineering. Research on the problem of wave-structure interaction is important to ensure the safety of offshore structures. This paper presents the Moving Particle Semi-implicit and Finite Element Coupled Method (MPS-FEM) to simulate FSI problems. The Moving Particle Semi-implicit (MPS) method is used to calculate the fluid domain, while the Finite Element Method (FEM) is used to address the structure domain. The scheme for the coupling of MPS and FEM is introduced first. Then, numerical validation and convergent study are performed to verify the accuracy of the solver for solitary wave generation and FSI problems. The interaction between the solitary wave and an elastic structure is investigated by using the MPS-FEM coupled method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aliabadi SK, Tezduyar TE, 1993. Space-time finite element computation of compressible flows involving moving boundaries and interfaces. Computer Methods in Applied Mechanics and Engineering, 107(1–2), 209–223.
Altomare C, Crespo AJ, Domínguez JM, Gómez-Gesteira M, Suzuki T, Verwaest T, 2015. Applicability of smoothed particle hydrodynamics for estimation of sea wave impact on coastal structures. Coastal Engineering, 96, 1–12. DOI: 10.1016/j.coastaleng.2014.11.001
Antoci C, Gallati M, Sibilla S, 2007. Numerical simulation of fluid-structure interaction by SPH. Computers & Structures, 85(11–14), 879–890. DOI: 10.1016/j.compstruc.2007.01.002
Betsy S, 2014. Experiments and computations of solitary-wave forces on a coastal-bridge deck. Part I: Flat Plate. Coastal Engineering, 88,194–209. DOI: 10.1016/j.coastaleng.2014.01.005
Boussinesq J, 1872. Théorie des ondes et des remous qui se propagent le long d’un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond. Journal de Mathématiques Pures et Appliquées, 17, 55–108. (in French)
Chen JKL, Noguchi H, Koshizuka S, 2007. Fluid-shell structure interaction analysis by coupled particle and finite element method. Computers & Structures, 85(11–14), 688–697. DOI: 10.1016/j.compstruc.2007.01.019
el Moctar O, Ley J, Oberhagemann J, Schellin T, 2017. Nonlinear computational methods for hydroelastic effects of ships in extreme seas. Ocean Engineering, 130, 659–673. DOI: 10.1016/j.oceaneng.2016.11.037
Goring DG, 1978. Tsunamis-the propagation of long waves onto a shelf. PhD thesis, California Institute of Technology, Pasadena.
Hirt CW, Nichols BD, 1981. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, 39(1), 201–225.
Hou G, 2012. Numerical methods for fluid-structure interaction -a review. Communications in Computational Physics, 12(2), 337–377. DOI: 10.4208/cicp.291210.290411s
Hsiao KM, Lin JY, Lin WY, 1999. A consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams. Comput. Methods Appl. Mech. Engrg, 169, 1–18. DOI: 10.1016/S0045-7825(98)00152-2
Idelsohn SR, 2008. Unified Lagrangian formulation for elastic solids and incompressible fluids: Application to fluid-structure interaction problems via the PFEM. Comput. Methods Appl. Mech. Eng., 197, 1762–1776. DOI: 10.1016/j.cma.2007.06.004
Iura M, Atluri SN, 1995. Dynamic analysis of planar flexible beams with finite rotations by using inertial and rotating frames. Computers and Structures, 55(3), 453–462. DOI: 10.1016/0045-7949(95)98871-M
Khayyer A, Gotoh H, 2013. Enhancement of performance and stability of MPS mesh-free particle method for multiphase flows characterized by high density ratios. Journal of Computational Physics, 242, 211–233. DOI: 10.1016/j.jcp.2013.02.002
Khayyer A, Gotoh H, 2015. A multi-phase compressible-incompressible particle method for water slamming. Proceedings of the Twenty-fifth International Ocean and Polar Engineering Conference, Kona, Hawaii, USA, 1235–1240. DOI: 10.17736/ijope.2016.mk42
Khayyer A, Gotoh H, Shao SD, 2008. Corrected incompressible SPH method for accurate water-surface tracking in breaking waves. Coastal Engineering, 55(3), 236–250. DOI: 10.1016/j.coastaleng.2007.10.001
Kondo M, Koshizuka S, 2011. Improvement of stability in moving particle semi-implicit method. International Journal for Numerical Methods in Fluids, 65(6), 638–654. DOI: 10.1002/fld.2207
Korteweg DJ, De Vries G, 1895. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 39, 422–443. DOI: 10.1080/14786449508620739
Koshizuka S, 1996. Moving-particle semi-implicit method for fragmentation of incompressible fluid. Nuclear Science & Engineering the Journal of the American Nuclear Society, 123(3), 421–434.
Lee BH, Park JC, Kim MH, Hwang SC, 2011. Step-by-step improvement of MPS method in simulating violent free-surface motions and impact-loads. Computer Methods in Applied Mechanics & Engineering, 50(24), 5921–5933. DOI: 10.1016/j.cma.2010.12.001
Liang DF, Jian W, Shao S, Chen R, Yang K, 2017. Incompressible SPH simulation of solitary wave interaction with movable seawalls. Journal of Fluids and Structures, 69, 72–88. DOI: 10.1016/j.jfluidstructs.2016.11.015
Longatte E, Verremana V, Souli M, 2009. Time marching for simulation of fluid-structure interaction problems. Journal of Fluids and Structures, 25, 95–111. DOI: 10.1016/j.jfluidstructs.2008.03.009
Lucy LB, 1977. A numerical approach to the testing of the fission hypothesis. The Astronomical Journal, 82, 1013–1024.
Newmark NM, 1959. A method of computation for structural dynamics. Journal of the Engineering Mechanics Division, 85(3), 67–94.
Sriram V, Ma QW, 2012. Improved MLPG_R method for simulating 2D interaction between violent waves and elastic structures. Journal of Computational Physics, 231(22), 7650–7670. DOI: 10.1016/j.jcp.2012.07.003
Stanley O, Fedkiw R, 2003. Level set methods and dynamic implicit surfaces. Springer, New York, 17–21. DOI: 10.1115/1.1760520
Tanaka M, Masunaga T, 2010. Stabilization and smoothing of pressure in mps method by quasi-compressibility. Journal of Computational Physics, 229(11), 4279–4290. DOI: 10.1016/j.jcp.2010.02.011
Tang ZY, Wan DC, 2015. Numerical simulation of impinging jet flows by modified MPS method. Engineering Computations, 32(4), 1153–1171. DOI: 10.1108/EC-01-2015-0002
Tang ZY, Zhang YL, Wan DC, 2016a. Multi-resolution MPS method for free surface flows. International Journal of Computational Methods, 13(4), 1641018-1–1641018-17. DOI: 10.1142/S0219876216410188
Tang ZY, Zhang YL, Wan DC, 2016b. Numerical simulation of 3-D free surface flows by overlapping MPS. Journal of Hydrodynamics, 28(2), 306–312. DOI: 10.1016/S1001-6058(16)60632-7
Walhorn E, Kölke A, Hübner B, Dinkler D, 2005. Fluid-structure coupling within a monolithic model involving free surface flows. Computers & Structures, 83(25–26), 2100–2111. DOI: 10.1016/j.compstruc.2005.03.010
Zhang YL, Tang ZY, Wan DC, 2016. Numerical investigations of waves interacting with free rolling body by modified MPS method. International Journal of Computational Methods, 13(4), 1641013-1–1641013-14. DOI: 10.1142/S0219876216410139
Zhang YL, Wan DC, 2017. Numerical study of interactions between waves and free rolling body by IMPS method. Computers & Fluids, 155, 124–133. DOI: 10.1016/j.compfluid.2017.03.019
Zhang YX, Wan DC, 2011. Application of MPS in 3D dam breaking flows. Sci. Sin. Phys. Mech. Astron., 41, 140–154. DOI: 10.1360/132010-1195
Zhang YX, Wan DC, 2012. Numerical simulation of liquid sloshing in low-filling tank by MPS. Chinese Journal of Hydrodynamics, 27(1), 100–107. (in Chinese) DOI: 10.3969/j.issn1000-4874.2012.01.015
Zhang YX, Wan DC, Hino T, 2014. Comparative study of MPS method and level-set method for sloshing flows. Journal of hydrodynamics, 26(4), 577–585. DOI: 10.1016/S1001-6058(14)60065-2
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Supported by the National Natural Science Foundation of China (51379125, 51490675, 11432009, 51579145), pthe Chang Jiang Scholars Program (T2014099), the Shanghai Excellent Academic Leaders Program (17XD1402300), the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning (2013022), the Innovative Special Project of the Numerical Tank of the Ministry of Industry and Information Technology of China (2016-23/09), and Lloyd’s Register Foundation for doctoral students
Rights and permissions
About this article
Cite this article
Rao, C., Zhang, Y. & Wan, D. Numerical simulation of the solitary wave interacting with an elastic structure using MPS-FEM coupled method. J. Marine. Sci. Appl. 16, 395–404 (2017). https://doi.org/10.1007/s11804-017-1430-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11804-017-1430-x