Kai Gong, Benlong Wang, Hua Liu


The hydrodynamic problem of two-dimensional wedge entering water is studied based on SPH model. A non-reflection boundary treatment for SPH method is proposed to reduce the size of computational domain. The details of water entry and enclosing are simulated using two phase SPH model. Both the water flow around the cavity and wedge and air flow inside the cavity are predicted simultaneity. Good agreement is obtained comparing experimental data in terms of both the hydrodynamics force exerting on the wedge and geometry of the cavity and jet.


water entry; SPH; multiphase flow


Balsara, D.S. and Brandt, A. 1991 Multilevel methods for fast solution of N-body and hybrid systems. International Series of Numerical mathematics. 98:131-142

Colagrossi, A. and Landrini, M. 2003 Numerical simulation of interfacial flows by smoothed particle hydrodynamics. J. Comput. Phys. 191(2), 448-475

Gong, K., Liu, H. and Wang, B.L. 2007 An improved boundary treatment approach for SPH method. Chinese Quarterly of Mechanics. 29(4), 507-514.

Gong, K., Wang, B.L. and Liu, H. 2009 Water entry of a wedge based on SPH model with an improved boundary treatment. J. Hydrodynamics. 21(6), 750-757

Monaghan, J.J. and Gingold, R.A. 1983 Shock simulation by the particle method SPH. J. Comp. Phys. 52:374-389

Monaghan, J.J. 1989 On the problem of penetration in particle methods. J. Comp. Phys. 82(1), 1-15

Monaghan, J.J. and Kocharyan, A. 1995 SPH simulation of multi-phase flow. Computer Physics Communication. 87(1-2), 225-235

Oger, G., Doring, M., Alessandrini, B. and Ferrant, P. 2006 Two-dimensional SPH simulations of wedge water entries. J. Comp. Phys. 213, 803-822

Sussman, M., Smereka, P. and Osher, S. 1994 A level set approach for computing solutions to incompressible two-phase flow. J. Comp. Phys. 114, 146-159

Zhao, R. and Faltinsen, O. 1993 Water entry of two dimensional bodies. J.Fluid Mech. 246, 593-612

Full Text: PDF

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.