Browse > Article
http://dx.doi.org/10.2478/IJNAOE-2013-0202

Finding the best combination of numerical schemes for 2-D SPH simulation of wedge water entry for a wide range of deadrise angles  

Farsi, Mohammad (Department of Marine Technology, Amirkabir University of Technology)
Ghadimi, Parviz (Department of Marine Technology, Amirkabir University of Technology)
Publication Information
International Journal of Naval Architecture and Ocean Engineering / v.6, no.3, 2014 , pp. 638-651 More about this Journal
Abstract
Main aim of this paper is to find the best combination of numerical schemes for 2-D SPH simulation of wedge water entry. Diffusion term is considered as laminar, turbulent, and artificial viscosity. Density filter that seriously affects the pressure distribution is investigated by adopting no filter, first order filter, and second order filter. Validation of the results indicates that turbulent model and first order density filter can lead to more reasonable solutions. This simulation was then conducted for wedge water entry with wide range of deadrise angles including 10 degrees, 20 degrees, 30 degrees, 45 degrees, 60 degrees and 81 degrees, with extreme deadrise angles of 10 degrees, 60 degrees and 81 degrees being considered. Comparison of SPH results with BEM solutions has displayed favorable agreement. In two particular cases where experimental data are available, the SPH results are shown to be closer to the experiments than BEM solution. While, accuracy of the obtained results for moderate deadrise angles is desirable, numerical findings for very small or very large deadrise angles are also very reasonable.
Keywords
Water entry; SPH; Pressure distribution; Free surface;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Abrate, S., 2011. Hull slamming. Applied Mechanics Reviews, 64(6), pp.1-35.
2 Batchelor, G.K., 1974. Introduction to fluid dynamics. Cambridge: Cambridge University Press.
3 Colagrossi, A. and Landrini, M., 2003. Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Journal of Computational Physics, 191(2), pp.448-475.   DOI   ScienceOn
4 Dalrymple, R.A. and Rogers, B.D., 2006. Numerical modeling of water waves with the SPH method. Coastal Engineering, 53(2-3), pp.141-147.   DOI   ScienceOn
5 Dalrymple, R.A. and Herault, A., 2009. Levee breaching with GPU-SPHysics code. Fourth International SPHERIC Workshop, Nantes, France, May 2009, pp.27-29.
6 Dilts, G.A., 1999. Moving-least-squares-particle hydrodynamics, I. consistency and stability. International Journal for Numerical Methods in Engineering, 44(8), pp.1115-1155.   DOI   ScienceOn
7 Dobrovol'skaya, Z.N., 1969. On some problems of similarity flow of fluid with a free surface. Journal of Fluid Mechanics. 36(4), pp.805-829.   DOI
8 Ferrari, A., 2010. SPH simulation of a free surface flow over a sharp crested weir. Advanced in Water Resources, 33(3), pp.270-276.   DOI   ScienceOn
9 Ghadimi, P., Dashtimanesh, A. and Djeddi, S.R., 2012. Study of water entry of circular cylinder by using analytical and numerical solutions. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 34(3), pp.225-232.   DOI
10 Ghadimi, P., Farsi, M. and Dashtimanesh, A., 2012. Study of various numerical aspects of 3D-SPH for simulation of the dam break problem. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 34(4), pp.486-491.   DOI
11 Ghadimi, P., Dashtimanesh, A., Farsi, M. and Najafi, S., 2012. Investigation of free surface flow generated by a planing flat plate using smoothed particle hydrodynamics method and FLOW3D simulations. Journal of Engineering for the Maritime Environment, 227(2), pp.125-135.
12 Ghadimi, P., Feizi Chekab, M.A. and Dashtimanesh, A., 2013. A numerical investigation of the water impact of an arbitrary bow section. ISH Journal of Hydraulic Engineering, 9(3), pp.186-195.
13 Gómez-Gesteira, M., Cerqueiro, D., Crespo, C. and Dalrymple, R.A., 2005. Green water overtopping analyzed with a SPH model. Ocean Engineering, 32(2), pp.223-238.   DOI   ScienceOn
14 Gómez-Gesteira, M., and Dalrymple, R.A., 2004. Using a Three-Dimensional Smoothed Particle Hydrodynamics Method for Wave Impact on a Tall Structure. Journal of Waterway Port, Coastal and Ocean Devision, 130(2), pp.63-69.   DOI   ScienceOn
15 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. Journal of the Hydraulic Research, 48, pp.6-27.   DOI
16 Gringold, R. and Monaghan, J.J., 1977. Smoothed particle hydrodynamics: theory and application to non-spherical stars. Monthly Notices of the Royal Astronomical Society, 181, pp.375-388.   DOI
17 Kai, G., Liu, H. and Wang, B.L., 2009. Water entry of a wedge based on SPH model with an improved boundary treatment. Journal of Hydrodynamics, 21(6), pp.750-757.   DOI   ScienceOn
18 Gotoh, H., Shao S. and Memita, T., 2004. SPH-LES model for numerical investigation of wave interaction with partially immersed breakwater. Coastal Engineering Journal, 46(1), pp.39-63.   DOI   ScienceOn
19 Greenhow, M., 1988. Water entry and exit of horizontal circular cylinders. Applied Ocean Research, 10(4), pp.191-198.   DOI   ScienceOn
20 Issa, R., 2004. Numerical assessment of the Smoothed Particle Hydrodynamics grid-less method for incompressible flows and its extension to turbulent flows. Ph.D. Thesis. University of Manchester Institute of Science and Technology (UMIST).
21 Lo, E.Y.M. and Shao, S., 2002. Simulation of near-shore solitary wave mechanics by an incompressible SPH method. Applied Ocean Research, 24(5), pp.275-286.   DOI   ScienceOn
22 Lucy, L., 1977. A numerical approach to testing of the fusion hypothesis. Astronomical Journal, 88, pp.1013-1024.
23 Monaghan, J.J., 1992. Smoothed particle hydrodynamics. Annual Review of Astronomy and Astrophysics, 30, pp.543-574.   DOI   ScienceOn
24 Monaghan, J.J., 1994. Simulating free surface flows with SPH. Journal of Computational Physics, 110(2), pp.399-406.   DOI   ScienceOn
25 Muzaferija, S., Perie, M., Sames, P. and Sehellin, T., 1999. A two-fluid navier-stokes solver to simulate water entry. Twenty- Second Symposium on Naval Hydrodynamics, Washington, DC, pp.638-651.
26 Oger, G., Doring, M., Alessandrini, B. and Ferrant, P., 2006. Two-dimensional SPH simulations of wedge water entries. Journal of Computational Physics, 213(2), pp.803-822.   DOI   ScienceOn
27 Rogers, B.D., Dalrymple, R.A. and Stansby, P.K., 2008. SPH modeling of floating bodies in the surf zone. Proceeding of 31st Conference on Coastal Engineering, Hamburg, Germany, pp.204-215.
28 Oger, G., Touze, D.L., Alessandrini, B. and Maruzewski, P., 2008. A new parallelized 3D SPH model: resolution of water entry problems and scalability study. ERCOFTAC Bulletin, 76, pp.35-38.
29 Panizzo, A., 2004. Physicfal and numerical modeling of sub-aerial landslide generated waves. Ph.D thesis. Universita degli Studi di L'Aquila.
30 Pope, S.B., 2000. Turbulent flows. United Kingdom: Cambridge University Press.
31 Sedov, L., 1934. The impact of a solid body floating on the surface of an incompressible fluid, CAHI Report 187, Moscow: CAHI.
32 Shao, S., 2010. Incompressible SPH flow model for wave interactions with porous media. Coastal Engineering, 57, pp. 304-316.   DOI   ScienceOn
33 Tveitnes, T., Fairlie-Clarke, A.C. and Varyani, K., 2008. An experimental investigation into the constant velocity water entry of wedge-shaped sections. Ocean Engineering, 35(14-15), pp.463-1478.
34 Vandamme, J., Zou, Q. and Reeve, D.E., 2011. Modeling floating object entry and exit using smoothed particle hydrodynamics. Journal of Waterway, Port, Coastal, Ocean Engineering, 137(5), pp.213-224.   DOI
35 Veen, D. and Gourlay, T., 2012. A combined strip theory and smoothed particle hydrodynamics approach for estimating slamming loads on a ship in head seas. Ocean Engineering, 43, pp.64-71.   DOI   ScienceOn
36 Vepa, K.S., Van Nuffel, D. and Van Paepegem, W., 2011. Pressure predictions during water entry of a 2D rigid cylinder using SPH method. 26th International Workshop on Water Waves and Floating Bodies (IWWWFB), Athens, pp.197- 200.
37 Von Karman, T., 1929. The impact of seaplane floats during landing. NACA TN 321, National Advisory Committee for Aeronautics, Washington, USA, pp.1-16.
38 Wagner, H., 1932. Phenomena associated with impacts and sliding on liquid surfaces. Mathematik und Mechanik, 12(4), pp.193-215.
39 Zhang, Y., Zou, Q., Greaves, D., Reeve, D., Hunt-Raby, A., Graham, D., James, P. and Lv, X., 2010. A level set immersed boundary method for water entry and exit. Communications in Computational Physics, 8(2), pp.265-288.
40 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. Journal of Computational Physics, 221(2), pp.666-692.   DOI   ScienceOn
41 Zhao, R. and Faltinsen, O.M., 1993. Water entry of two-dimensional bodies. Journal of Fluid Mechanics, 246, pp.593-612.   DOI
42 Zhao, R., Faltinsen, O.M. and Aarsnes, J., 1997. Water entry of arbitrary two-dimensional sections with and without flow separation. 21st Symposium on Naval Hydrodynamics, Washington DC, pp.408-423.