SPH Simulation of Waves Associated with Underwater Explosion


1 Iranian National Institute for Oceanography and Atmospheric Science (INIOAS)

2 Darya Bandar Engineering Consultant Company (DBC)


The current manuscript presents the validation of Smoothed Particle Hydrodynamics (SPH) techniques for wave generation by underwater explosion, utilizing the so-called DualSPHysics numerical model. This numerical method is used to analyze generated waves which are initiated by man-made or natural explosions below free surface level of sea. In spite of the modeling limitations (e.g. absence of open boundary conditions), reasonable agreement is accomplished with predictions of the existing formula as well as experimental results. This proved that SPH techniques such as incorporated in DualSPHysics are becoming a suitable alternative to existing classical approaches to this particular water waves problem. It is also provided an inherently more accurate computational for the prediction of wave characteristics generated by underwater explosions.


Altomare C, Crespo AJC, Rogers BD, Dominguez JM, Gironella X, Gomez-Gesteira M (2014) “Numerical modelling of armour block sea breakwater with smoothed particle hydrodynamics”, Computers & Structures Vol. 130, pp 34-45. Altomare C, Crespo AJC, Dominguez JM, Gomez-Gesteira M, Suzuki T, Verwaest T (2015) “Applicability of Smoothed Particle Hydrodynamics for estimation of sea wave impact on coastal structures”, Coastal Engineering Journal Vol. 96, pp 1-12. Barreiro A, Crespo AJC, Domínguez JM, Gómez-Gesteira M (2013) “Smoothed Particle Hydrodynamics for coastal engineering problems” Computers & Structures Vol. 120, pp 96-106. Bottin RR (1990) “Impulsive waves generated by falling weights in shallow water”, Final Technical Report CERC-90-9. Coastal Engineering Research Center, DEPARTMENT OF THE ARMY, Waterways Experiment Station, Corps of Engineers, 3909 Halls Ferry Road, Vicksburg, Mississippi 39180-6199. Bryant AR (1950) “Surface waves produced by underwater explosions Comparison of the theory of W.G. Penney with experimental results for a 32-lb. charge”, Underwater Explosion Research, Vol. II, ONR, Dept. of Navy, pp 701-706. Crespo AJC, Altomare C, Dominguez JM, Suzuki T, Verwaest T, Gomez-Gesteira M (2015) “SPH modeling in coastal engineering”, E-proceedings of the 36th IAHR World Congress. The Hague, the Netherlands. Crespo AJC, Domínguez JM, Gómez-Gesteira M, Barreiro A, Rogers BD, Longshaw S, Canelas R, Vacondio R (2013) “User Guide for DualSPHysics v3.0”. Domínguez JM, Crespo AJC, Gómez-Gesteira M, Marongiu JC (2011) “Neighbour lists in Smoothed Particle Hydrodynamics”, International Journal for Numerical Methods in Fluids, Vol. 67, Issue 12, pp 2026-2042, doi:10.1002/fld.2481. Domínguez JM, Crespo AJC and Gómez-Gesteira M (2013) “Optimization strategies for CPU and GPU implementations of a smoothed particle hydrodynamics method”, Computer Physics Communications, Vol. 184, Issue 3, pp 617-627, doi:10.1016/j.cpc.2012.10.015. Falade A and Holt M (1978) “Surface waves generated by shallow underwater explosions”, Physics of Fluids (1958-1988), AIP Publishing, Physics of Fluids, Vol. 21, Issue 10, p. 1709. Fuchs RA (1952) “Theory of surface waves produced by underwater explosions” Technical Report Series No. 3, Issue No. 335, 9 PP. University of California, Institute of Engineering Research, Berkeley, California. Gomez-Gesteira M, Rogers BD, Crespo AJC, Dalrymple RA, Narayanaswamy M, Dominguez JM (2012) “SPHysics - development of a free-surface fluid solver – Part 1: Theory and formulations”, Computers & Geosciences Vol. 48, pp 289-299. Gomez-Gesteira M, Rogers BD, Crespo AJC, Dalrymple RA, Narayanaswamy M, Dominguez JM (2012) “SPHysics - development of a free-surface fluid solver – Part 2: Efficiency and test cases”, Computers & Geosciences Vol. 48, pp 300-307. Kirkwood JG and Seeger RJ (1950) “Surface waves from an underwater explosion”, Underwater Explosion Research, Vol. II, ONR, Dept. of Navy, pp 707-760. Kolsky H, Lewis JP, Sampson MT, Shearman AC, Snow CI (1949) “Splashes from Underwater Explosions”, Proceeding of Royal Society of London, Vol. 196, pp. 379-402. Kozachenko LS and Khristoforov BD (1972) “Surface events during underwater explosions”, Translated from Fizika Goreniya i Vzryva, Vol. 8, No. 3, pp. 433-438. Kranzer HC and Keller JB (1955) “Water waves produced by explosion”, New York University, Institute of Mathematical Sciences, IMM-NYU 222, 26 pp. Kranzer HC and Keller JB (1959) “Water Waves Produced by Explosions”, AIP Publishing, Journal of Applied Physics, Vol., Issue 3, p. 398. LeMehaute B and Wang S (1996) “Water waves generated by underwater explosion”, World Scientific, River Edge. Liu MB, Liu GR, Lam KY, Zong Z (2003) “Smoothed particle hydrodynamics for numerical simulation of underwater explosion”, Computational Mechanics Vol.30, pp 106-118. Mader CL (1976) “Calculations of waves formed from surface cavities”, Proc. of 15th Conf. on Coastal Engineering 15:1079-1092. doi: 10.9753/icce.v15.%25p, ISSN: 2156-1028. Monaghan JJ and Gingold RA (1983) “Shock simulation by the particle method SPH”, J. of comp. Phys. Vol. 52, pp 374-389, doi: 10.1016/0021-9991(83)90036-0. Noda EK (1971) “Water waves generated by a local surface disturbance”, J of Geophysical Research 76:7389-7400. doi: 10.1029/JC076i030p07389. Penney WG (1950) “Gravity waves produced by surface and underwater explosions”, Underwater Explosion Research, Vol. II-The gas globe, Office of Naval Research, Department of the Navy, pp 679-700. Prins JE (1957) “Water waves due to a local disturbance”, Proc. of 6th Conf. on Coastal Engineering 6:147-162. doi: 10.9753/icce.v6.8. Swegle JW and Attaway SW (1995) “On the feasibility of using smoothed particle hydrodynamics for underwater explosion calculations”, Comp. Mech. Vol. 17, pp 151-168. Whalin RW (1965) “Water waves produced by underwater explosions: propagation theory for regions near the explosion”, Journal of Geophysical Research, Vol.70, No. 22, pp. 5541-5549. www.SPHysics.org, Official site of SPHysics software. www.dual.SPHysics.org, Official site of DualSPHysics software. www.DTIC.mil, Official site of Defense Technical Information Center.