Numerical Simulation of the Water Entry of Two-Dimensional Body with Flow Separation

Abstract:

The water entry of two-dimensional body with flow separation is simulated based on potential theory and boundary element method. The double point model and four-order Runge-Kutta method and jet-cut model and free surface smooth technique and regrinding technique are used to assure the stability and accuracy of the numerical result. A flow separation model is introduced to simulate the water entry of two-dimensional body with knuckle. The free surface elevation and pressure distribution of wedge with knuckle are predicted and compared with other theory result. Good agreement between numerical result and other theory result is indicated that the numerical method is stability and effective.

• Periodical: Applied Mechanics and Materials (Volumes 138-139)
• Pages: 376-381
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.138-139.376
• Online since: November 2011
• Authors: Yun Bo Li, Ya Jun Li, Yan Wang
• Keywords: Body Water Entry, Boundary Element Method (BEM), Flow Separation, Potential Theory

References

[1] Z.N. Dobrovol'Skaya. On some problems of similarity flow of fluid with a free surface. Journal of Fluid Mechanics. Vol. 36 (1969), pp.805-829.

DOI: 10.1017/s0022112069001996

[2] R. Zhao and O.M. Faltinsen. Water entry of two-dimensional bodies. Journal of Fluid Mechanics. Vo. 246 (1993), pp.593-612.

DOI: 10.1017/s002211209300028x

[3] R. Zhao, O.M. Faltinsen and J. Aarsnes. Water entry of arbitrary two-dimensional sections with and without flow separation. Proceedings of 21st Symposium on Naval Hydrodynamics. Trondheim, Norway, (1997).

[4] Wu G. X, Sun H and He Y.S. Numerical simulation and experimental study of water entry of a wedge in free fall motion. Journal of Fluids and Structures. Vol. 19(2004), pp.277-289.

DOI: 10.1016/j.jfluidstructs.2004.01.001

[5] Greenhow M. Wedge entry into initially calm water. Applied Ocean Research. Vol. 9(1987), p.214–223.

DOI: 10.1016/0141-1187(87)90003-4

[6] Cotine R. Free-surface flows closes to surface-piercing body. In: Miloh, T. (Eds. ), Mathematical Approaches in Hydrodynamics, Society for Industrial and Applied Mathematics, Ph"aladelphia 1991. p.319–334.

[7] Howison S. D, Ockendon J. R, Wilson S.K. Incompressible water-entry problems at small dead-rise angles. Journal of Fluid Mechanics Vol. 222(1991), p.215–230.

DOI: 10.1017/s0022112091001076

[8] T. Miloh. On the initial-stage slamming of a rigid sphere in a vertical water entry. Applied Ocean Research. Vol. (1991), pp.43-48.

DOI: 10.1016/s0141-1187(05)80039-2

[9] Fraenkel L. E, McLeod J.B. Some results for the entry of a blunt wedge into water. Philosophical Transactions of the Royal Society of London Series A . Vol. 355(1997), p.523–535.

DOI: 10.1098/rsta.1997.0022

[10] Xiaoming Mei, Yuming Liu and D.K.P. Yue. On the water impact of general two-dimensional sections. Applied Ocean Research. Vol. 21(1999), pp.1-15.

DOI: 10.1016/s0141-1187(98)00034-0

[11] Grilli S T, Svendsen I A. Corner problems and global accuracy in the boundary element solution of nonlinear wave flows. Engineering Analysis with Boundary Elements. Vol. 7(1990), pp.178-195.

DOI: 10.1016/0955-7997(90)90004-s

[12] Sui Hui. A boundary element method applied to strongly nonlinear wave-body interaction problems. PH. D Thesis, Trondheim,. Norway . Norwegian University of Science and Technology. (2007).

[13] M.S. Longuet-Higgins and E.D. Cokelet. The deformation of steep surface waves on water.I. A numerical method of computation. Proceedings of the Royal Society A. London. Vol. 350 (1976), pp.1-26.

[14] M. Xue, H.B. Xu, Y. Liu and Dick K.P. Yue. Computations of fully nonlinear three-dimensional wave–wave and wave–body interactions. Part 1. Dynamics of steep three-dimensional waves. Journal of Fluid Mechanics. Vol. 438 (2001), pp.11-39.

DOI: 10.1017/s0022112001004396

[15] Maruo H, Song W. Nonlinear analysis of bow wave breaking and deck wetness of a high-speed ship by the parabolic approximation. Proceedings of 20th Symposium on Naval Hydrodynamics. USA. Santa Barbara. 1994, pp.68-82.