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SPH Numerical Modeling for the Wave–Thin Structure Interaction

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Abstract

In this paper, a numerical model of 2D weakly compressible smoothed particle hydrodynamics (WCSPH) is developed to simulate the interaction between waves and thin structures. A new color domain particle (CDP) technique is proposed to overcome difficulties of applying the ghost particle method to thin structures in dealing with solid boundaries. The new technique can deal with zero-thickness structures. To apply this enforcing technique, the computational fluid domain is divided into sub domains, i.e., boundary domains and internal domains. A color value is assigned to each particle, and contains the information of the domains in which the particle belongs to and the particles can interact with. A particle, nearby a thin boundary, is prevented from interacting with particles, which should not interact with on the other side of the structure. It is possible to model thin structures, or the structures with the thickness negligible with this technique. The proposed WCSPH module is validated for a still water tank, divided by a thin plate at the middle section, with different water levels in the subdomains, and is applied to simulate the interaction between regular waves and a perforated vertical plate. Finally, the computation is carried out for waves and submerged twin-horizontal plate interaction. It is shown that the numerical results agree well with experimental data in terms of the pressure distribution, pressure time series and wave transmission.

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References

  • Antuono, M., Colagrossi, A., Marrone, S. and Lugni, C., 2011. Propagation of gravity waves through an SPH scheme with numerical diffusive terms, Computer Physics Communications, 182(4), 866–877.

    Article  MATH  Google Scholar 

  • Cherfils, J.M., Pinon, G. and Rivoalen, E., 2012. JOSEPHINE: A parallel SPH code for free-surface flows, Computer Physics Communications, 183(7), 1468–1480.

    Article  MathSciNet  Google Scholar 

  • Colagrossi, A. and Landrini, M., 2003. Numerical simulation of interfacial flows by smoothed particle hydrodynamics, Journal of Computational Physics, 191(2), 448–475.

    Article  MATH  Google Scholar 

  • Crespo, A.J.C., Gómez-Gesteira, M. and Dalrymple, R.A., 2007. Boundary conditions generated by dynamic particles in SPH methods, Computers, Materials, & Continua, 5(3), 173–184.

    MathSciNet  MATH  Google Scholar 

  • Day, R.A. and Potts, D.M., 1994. Zero thickness interface elements—numerical stability and application, International Journal for Numerical and Analytical Methods in Geomechanics, 18(10), 689–708.

    Article  Google Scholar 

  • Didier, E., Neves, D.R.C.B., Martins, R. and Neves, M.G., 2014. Wave interaction with a vertical wall: SPH numerical and experimental modeling, Ocean Engineering, 88, 330–341.

    Article  Google Scholar 

  • Didier, E., Neves, D.R.C.B., Teixeira, P.R.F., Dias, J. and Neves, M.G., 2016. Smoothed particle hydrodynamics numerical model for modeling an oscillating water chamber, Ocean Engineering, 123, 397–410.

    Article  Google Scholar 

  • Dilts, G.A., 2000. Moving least-squares particle hydrodynamics ii: Conservation and boundaries, International Journal for Numerical Methods in Engineering, 48(10), 1503–1524.

    Article  MathSciNet  MATH  Google Scholar 

  • Fadlun, E.A., Verzicco, R., Orlandi, P. and Mohd-Yusof, J., 2000. Combined immersed-boundary finite-difference methods for threedimensional complex flow simulations, Journal of Computational Physics, 161(1), 35–60.

    Article  MathSciNet  MATH  Google Scholar 

  • Ferrari, A., Dumbser, M., Toro, E.F. and Armanini, A., 2009. A new 3D parallel SPH scheme for free surface flows, Computers & Fluids, 38(6), 1203–1217.

    Article  MathSciNet  MATH  Google Scholar 

  • Gao, R., Ren, B., Wang, G.Y. and Wang, Y.X., 2012. Numerical modelling of regular wave slamming on subface of open-piled structures with the corrected SPH method, Applied Ocean Research, 34, 173–186.

    Article  Google Scholar 

  • Goda, Y. and Suzuki, Y., 1977. Estimation of incident and reflected waves in random wave experiments, Proceedings of the 15th International Conference on Coastal Engineering, Honolulu, Hawaii, United States: American Society of Civil Engineers, pp. 828–845.

    Google Scholar 

  • Gómez-Gesteira, M., Cerqueiro, D., Crespo, C. and Dalrymple, R.A., 2005. Green water overtopping analyzed with a SPH model, Ocean Engineering, 32(2), 223–238.

    Article  Google Scholar 

  • Hughes, S.A., 1993. Physical Models and Laboratory Techniques in Coastal Engineering, Advanced Series on Ocean Engineering, Vol. 7, World Scientific, Singapore.

  • Karimanal, K. and Nair, R., 2000. Use of zero thickness conducting plate object in electronics cooling applications of CFD, ITHERM 2000, Proceedings of the 7th Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems, IEEE, Las Vegas, NV, USA, pp. 313.

    Google Scholar 

  • Le Méhauté, B., 1976. An introduction to water waves, in: Le Méhauté, B. (ed.), An Introduction to Hydrodynamics and Water Waves, Springer, Berlin, Heidelberg, pp. 197–211.

  • Lee, E.S., Moulinec, C., Xu, R., Violeau, D., Laurence, D. and Stansby, P., 2008. Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method, Journal of Computational Physics, 227(18), 8417–8436.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, J.B., 2014. Study on the Hydrodynamics of Horizontal Twin-Plate Breakwater, Ph. D. Thesis, Dalian University of Technology, Dalian. (in Chinese)

    Google Scholar 

  • Li, J.B., Zhang, N.C. and Guo, C.S., 2010. Numerical simulation of waves interaction with a submerged horizontal twin-plate breakwater, China Ocean Engineering, 24(4), 627–640.

    Article  Google Scholar 

  • Marrone, S., Antuono, M., Colagrossi, A., Colicchio, G., Le Touzé, D. and Graziani, G., 2011. δ-SPH model for simulating violent impact flows, Computer Methods in Applied Mechanics and Engineering, 200(13–16), 1526–1542.

    Article  MathSciNet  MATH  Google Scholar 

  • Marrone, S., Colagrossi, A., Le Touzé, D. and Graziani, G., 2010. Fast free-surface detection and level-set function definition in SPH solvers, Journal of Computational Physics, 229(10), 3652–3663.

    Article  MATH  Google Scholar 

  • Meringolo, D.D., Aristodemo, F. and Veltri, P., 2015. SPH numerical modeling of wave-perforated breakwater interaction, Coastal Engineering, 101, 48–68.

    Article  Google Scholar 

  • Molteni, D. and Colagrossi, A., 2009. A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH, Computer Physics Communications, 180(6), 861–872.

    Article  MathSciNet  MATH  Google Scholar 

  • Monaghan, J.J., 1994. Simulating free surface flows with SPH, Journal of Computational Physics, 110(2), 399–406.

    Article  MATH  Google Scholar 

  • Monaghan, J.J., 2005. Smoothed particle hydrodynamics, Reports on Progress in Physics, 68(8), 1703–1759.

    Article  MathSciNet  MATH  Google Scholar 

  • Monaghan, J.J. and Lattanzio, J.C., 1985. A refined particle method for astrophysical problems, Astronomy and Astrophysics, 149(1), 135–143.

    MATH  Google Scholar 

  • Ren, B., He, M., Dong, P. and Wen, H.J., 2015. Nonlinear simulations of wave-induced motions of a freely floating body using WCSPH method, Applied Ocean Research, 50, 1–12.

    Article  Google Scholar 

  • Ren, B., Wen, H.J., Dong, P. and Wang, Y.X., 2014. Numerical simulation of wave interaction with porous structures using an improved smoothed particle hydrodynamic method, Coastal Engineering, 88, 88–100.

    Article  Google Scholar 

  • Shao, S.D. and Lo, E.Y.M., 2003. Incompressible SPH method for simulating newtonian and non-newtonian flows with a free surface, Advances in Water Resources, 26(7), 787–800.

    Article  Google Scholar 

  • Tabet-Aoul, E.H. and Lambert, E., 2003. Tentative new formula for maximum horizontal wave forces acting on perforated caisson, Journal of Waterway, Port, Coastal, and Ocean Engineering, 129(1), 34–40.

    Article  Google Scholar 

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Correspondence to Shu-xiu Liang.

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Foundation item: This work is financially supported by the National Research and Development Program of China (Grant No. 2016YFC1401405), the National Natural Science Foundation of China (Grant No. 51779038), and the Public Science and Technology Research Funds Projects of Ocean (Grant No. 201405025-1).

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Ren, Xf., Sun, Zc., Wang, Xg. et al. SPH Numerical Modeling for the Wave–Thin Structure Interaction. China Ocean Eng 32, 157–168 (2018). https://doi.org/10.1007/s13344-018-0017-x

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  • DOI: https://doi.org/10.1007/s13344-018-0017-x

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