Modeling Floating Object Entry and Exit Using Smoothed Particle Hydrodynamics
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 137, Issue 5
Abstract
This paper investigates fluid and floating object interaction using a novel adaptation of the weakly compressible smoothed particle hydrodynamics (WCSPH) method by incorporating a floating object model. In particular, this paper examines the water impact, hydrodynamic forces, fluid motions, and movement of objects in the conventional case studies of object entry and exit from still water. A two-dimensional wedge drop analysis was examined, and the hydrodynamic forces show acceptable agreement with published experimental and numerical results. The movement of the object is well predicted. The velocity field of the fluid domain is also captured. Simulations for water entry and exit of a buoyant and neutral density cylinder compares well with previous experimental, numerical, and empirical studies in penetration, free surface comparisons, and object movement. These results provide a good foundation to evaluate the accuracy and stability of WCSPH for modeling the interaction between free surface flow and free moving floating objects.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors would like to acknowledge the support of the Flood Risk from Extreme Events (FREE) Program of the UK Natural Environment Research Council (NERC) (Grant No. UNSPECIFIEDNE/E002129/1) during this project. The authors would also like to acknowledge the support of the South West of England Regional Development Agency through Peninsular Research Institute for Marine Renewable Energy (http://www.primare.org).
References
Antuono, M., Colagrossi, A., Marrone, S., and Molteni, D. (2010). “Free-surface flows solved by means of SPH schemes with numerical diffusive terms.” Comput. Phys. Commun., 181(3), 532–549.
Ataie-Ashtiani, B., and Mansour-Rezaei, S. (2009). “Modification of weakly compressible smoothed particle hydrodynamics for preservation of angular momentum in simulation of impulsive wave problems.” Coast. Eng. J., 51(4), 363–386.
Borg, S. F. (1959). “The maximum pressures and total force on straight-sided wedges with small deadrise.” J. Am. Soc. Nav. Eng., 71(3), 559–562.
Campbell, J. C., Vignjevic, R., and Patel, M. (2008). “A coupled FE-SPH approach for simulation of structural response to extreme wave and green water loading.” Proc., 2008 Offshore Technology Conf., Houston.
Chaniotis, A. K., Poulikakos, D., and Koumoutsakos, P. (2002). “Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows.” J. Comput. Phys., 182, 67–90.
Cointe, R. (1989). “Two-dimensional water-solid impact.” J. Offshore Mech. Arctic Eng., 111(1), 109–113.
Colagrossi, A., and Landrini, M. (2003). “Numerical simulation of interfacial flows by smoothed particle hydrodynamics.” J. Comput. Phys., 191(2), 448–475.
Dalrymple, R. A. (2007). “Using Smoothed Particle Hydrodynamics for Waves.” 4th Int. Asian and Pacific Coasts Conf., World Scientific Publishing, Singapore.
Dalrymple, R. A., et al. (2009). “Smoothed particle hydrodynamics for water waves.” Advances in numerical simulation of nonlinear water waves, Q. Ma, ed., World Scientific Publishing, Singapore
Dalrymple, R. A., and Rogers, B. D. (2006). “Numerical modeling of water waves with the SPH method.” Coastal Eng., 53, 141–147.
Dyka, C. T., and Ingel, R. P. (1995). “An approach for tension instability in smoothed particle hydrodynamics (SPH).” Comput. Struct., 57(4), 573–580.
Dyka, C. T., Randles, P. W., and Ingel, R. P. (1997). “Stress points for tension instability in SPH.” Int. J. Numer. Methods Eng., 40(13), 2325–2341.
Fang, J., Parriaux, A., Rentschler, M., and Ancey, C. (2009). “Improved SPH methods for simulating free surface flows of viscous fluids.” Applied Numerical Mathematics, 59(2), 251–271.
Ferrari, A. (2010). “SPH simulation of a free surface flow over a sharp-crested weir.” Adv. Water Resour., 33(3), 270–276.
Ferrari, A., Dumbser, M., Toro, E. F., and Armanini, A. (2009). “A new 3D parallel SPH scheme for free surface flows.” Comput. Fluids, 38(6), 1203–1217.
Gómez-Gesteira, M., Cerqueiro, D., Crespo, C., and Dalrymple, R. A. (2005). “Green water overtopping analyzed with a SPH model.” Ocean Eng., 32(2), 223–238.
Gómez-Gesteira, M., and Dalrymple, R. A. (2004). “Using a 3D SPH method for wave impact on a tall structure.” J. Waterw. Port Coastal Ocean Eng., 130(2), 63–69.
Gómez-Gesteira, M., Rogers, B. D., Dalrymple, R. A., and Crespo, A. J. C. (2010). “State-of-the-art of classical SPH for free surface flows.” J. Hydraul. Res., 48, 6–27.
Gong, K., Liu, H., and Wang, B.-I. (2009). “Water entry of a wedge based on SPH model with an improved boundary treatment.” Journal Hydrodyn., 21(6), 750–757.
Gotoh, H. (2009). “Lagrangian particle method as advanced technology for numerical wave flume.” Int. J. Offshore Polar Eng., 19(3), 161–167.
Gotoh, H., Shao, S., and Memita, T. (2004). “SPH-LES model for numerical investigation of wave interaction with partially immersed breakwater.” Coast. Eng. J., 46(1), 39–63.
Gotoh, H., Shibahara, T., and Sakai, T. (2001). “Sub-particle-scale turbulence model for the MPS method-Lagrangian flow model for hydraulic engineering.” Computational Fluid Dynamics Journal, 9(4), 339–347.
Greenhow, M. (1987). “Wedge entry into initially calm water.” Appl. Ocean Res., 9(4), 214–223.
Greenhow, M. (1993). “A complex variable method for the floating-body boundary-value problem.” J. Comput. Appl. Math., 46(1-2), 115–128.
Greenhow, M., and Lin, W. M. (1983). “Non-linear free surface effects: Experiments and theory.” Rep. No. 83-19, Dept. of Ocean Engineering, MIT, Cambridge, MA.
Greenhow, M., and Moyo, S. (1997). “Water entry and exit of horizontal circular cylinders.” Philos. Trans. R. Soc. A, 355(1724), 551–563.
Gringold, R., and Monaghan, J. J. (1977). “Smoothed particle hydrodynamics: Theory and application to non-spherical stars.” Mon. Not. R. Astron. Soc., 181, 375–388.
Hérault, A., Bilotta, G., and Dalrymple, R. A. (2010). “SPH on GPU with CUDA.” J. Hydraul. Res., 48(S1), 47–79.
Judge, C., Troesch, A., and Perlin, M. (2004). “Initial water impact of a wedge at vertical and oblique angles.” J. Eng. Math., 48(3/4), 279–303.
Kleefsman, K. M. T., Fekken, G., Veldman, A. E. P., Iwanowski, B., and Buchner, B. (2005). “A volume-of-fluid based simulation method for wave impact problems.” J. Comput. Phys., 206, 363–393.
Lucy, L. (1977). “A numerical approach to testing of the fusion process.” Astron. J., 88, 1013–1024.
Molteni, D., and Colagrossi, A. (2009). “A simple procedure to improve the pressure evaluation in hydrodynamic context using SPH.” Comput. Phys. Commun., 180(6), 861–872.
Monaghan, J. J. (1989). “On the problem of penetration in particle methods.” J. Comput. Phys., 82(1), 1–15.
Monaghan, J. J. (1994). “Simulating free surface flows with SPH.” J. Comput. Phys., 110, 399–406.
Monaghan, J. J. (2000). “SPH without a tensile instability.” J. Comput. Phys., 159(2), 290–311.
Oger, G., Doring, M., Alessandrini, B. P. F. (2006). “Two dimensional SPH simulations of wedge water entries.” J. Comput. Phys., 213(2), 803–822.
Rogers, B. D., Dalrymple, R. A., and Stansby, P. K. (2008). SPH modelling of floating bodies in the surf zone, ICCE, Hamburg, Germany.
Shao, S. (2009). “Incompressible SPH simulation of water entry of a free-falling object.” Int. J. Numer. Methods Fluids, 59(1), 91–115.
Shao, S., Ji, C., Graham, D. I., Reeve, D. E., James, P. W., and Chadwick, A. J. (2006). “Simulation of wave overtopping by an incompressible SPH model.” Coastal Eng., 53(9), 723–735.
Shao, S., and Lo, E. Y. M. (2003). “Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface.” Adv. Water Resour., 26(7), 787–800.
Univ. of Manchester. (2008). “SPHYSICS Home Page.” 〈http://wiki.manchester.ac.uk/sphysics/index.php/Main_Page〉 (Oct. 15, 2007).
Vaughan, G. L., Healy, T. R., Bryan, K. R., Sneyd, A. D., and Gorman, R. M. (2008). “Completeness, conservation and error in SPH for fluids.” Int. J. Numer. Methods Fluids, 56(1), 37–62.
Viccione, G., Bovolin, V., and Carratelli, E. P. (2008). “Defining and optimizing algorithms for neighbouring particle identification in SPH fluid simulations.” Int. J. Numer. Methods Fluids, 58(6), 625–638.
Wagner, H. (1932). “Uber stoss-und gleitvorgange an der oberflache von flussigkeiten.” J. Appl. Math. Mech., 12(4), 192–235 (in German).
Xu, R., Stansby, P., and Laurence, D. (2009). “Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach.” J. Comput. Phys., 228(18), 6703–6725.
Yan, S., and Ma, Q. W. (2007). “Numerical simulation of fully nonlinear interaction between steep waves and 2D floating bodies using the QALE-FEM method.” J. Comput. Phys., 221(2), 666–692.
Zhang, Y. L., et al. (2010). “A level set immersed boundary method for water entry and exit.” Commun. Comput. Phys., 8(2), 265–288.
Zhao, R., and Faltinsen, O. (1993). “Water entry of two dimensional bodies.” J. Fluid Mech., 246, 593–612.
Zhao, R., Faltinsen, O., and Aarsnes, J. (1997). “Water entry of arbitrary two-dimensional sections with and without flow separation.” 21st Symp. on Naval Hydrodynamics, National Academies Press, Washington, DC.
Zhu, X., Faltinsen, O. M., and Hu, C. (2007). “Water entry and exit of a horizontal circular cylinder.” J. Offshore Mech. Arctic Eng., 129, 253.
Information & Authors
Information
Published In
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Jan 14, 2010
Accepted: Jan 7, 2011
Published online: Jan 10, 2011
Published in print: Sep 1, 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.