Finding the best combination of numerical schemes for 2-D SPH simulation of wedge water entry for a wide range of deadrise angles
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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 se-riously 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.
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 se-riously 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.
참고문헌 (42)
- Abrate, S., "Hull slamming", Applied Mechanics Reviews, 64(6), pp.1~35 (2011)
- Batchelor, G. K., "Introduction to fluid dynamics" (1974), Cambridge University Press
- Colagrossi, A., "Numerical simulation of interfacial flows by smoothed particle hydrodynamics", Journal of Computational Physics, 191(2), pp.448~475 (2003)
- Dalrymple, R.A., "Numerical modeling of water waves with the SPH method", Coastal Engineering, 53(2-3), pp.141~147 (2006)
- Dalrymple, R.A., "Levee breaching with GPU-SPHysics code", Fourth International SPHERIC Work-shop, pp.27~29 (2009)
- Dilts, G. A., "Moving-least-squares-particle hydrodynamics, I. consistency and stability", International Journal for Nu-merical Methods in Engineering, 44(8), pp.1115~1155 (1999)
- Dobrovol’skaya, Z. N., "On some problems of similarity flow of fluid with a free surface", Journal of Fluid Mechanics, 36(4), pp.805~829 (1969)
- Ferrari, A., "SPH simulation of a free surface flow over a sharp crested weir", Advanced in Water Resources, 33(3), pp.270~276 (2010)
- Ghadimi, P., "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 (2012)
- Ghadimi, P., "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 (2012)
- Ghadimi, P., "Investigation of free surface flow generated by a planing flat plate using smoothed particle hydrodynamics method and FLOW3D simulations", Journal of Engineering for the Mari-time Environment, 227(2), pp.125~135 (2012)
- Ghadimi, P., "A numerical investigation of the water impact of an arbi-trary bow section", ISH Journal of Hydraulic Engineering, 9(3), pp.186~195 (2013)
- Gómez-Gesteira, M., "Green water overtopping analyzed with a SPH model", Ocean Engineering, 32(2), pp.223~238 (2005)
- Gómez-Gesteira, M., "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 (2004)
- Gómez-Gesteira, M., "State-of-the-art of classical SPH for free surface flows", Journal of the Hydraulic Research, 48, pp.6~27 (2010)
- Kai, G., "Water entry of a wedge based on SPH model with an improved boundary treatment", Journal of Hydrodynamics, 21(6), pp.750~757 (2009)
- Gotoh, H., "SPH-LES model for numerical investigation of wave interaction with partially immersed breakwater", Coastal Engineering Journal, 46(1), pp.39~63 (2004)
- Greenhow, M., "Water entry and exit of horizontal circular cylinders", Applied Ocean Research, 10(4), pp.191~198 (1988)
- Gringold, R., "Smoothed particle hydrodynamics : theory and application to non-spherical stars", Monthly Notices of the Royal Astronomical Society, 181, pp.375~388 (1977)
- Issa, R., "Numerical assessment of the Smoothed Particle Hydrodynamics grid-less method for incompressible flows and its extension to turbulent flows", 박사, pp.2004
- Lo, E.Y.M., "Simulation of near-shore solitary wave mechanics by an incompressible SPH method", Applied Ocean Research, 24(5), pp.275~286 (2002)
- Lucy, L., "A numerical approach to testing of the fusion hypothesis", Astronomical Journal, 88, pp.1013~1024 (1977)
- Monaghan, J. J., "Smoothed particle hydrodynamics", Annual Review of Astronomy and Astrophysics, 30, pp.543~574 (1992)
- Monaghan, J. J., "Simulating free surface flows with SPH", Journal of Computational Physics, 110(2), pp.399~406 (1994)
- Muzaferija, S., "A two-fluid navier-stokes solver to simulate water entry", Twenty- Second Symposium on Naval Hydrodynamics, pp.638~651 (1999)
- Oger, G., "Two-dimensional SPH simulations of wedge water entries", Journal of Computational Physics, 213(2), pp.803~822 (2006)
- Oger, G., "A new parallelized 3D SPH model: resolution of water entry problems and scalability study", ERCOFTAC Bulletin, 76, pp.35~38 (2008)
- Panizzo, A., "Physicfal and numerical modeling of sub-aerial landslide generated waves", 박사, pp.2004
- Pope, S. B., "Turbulent flows" (2000), Cambridge University Press
- Rogers, B. D., "SPH modeling of floating bodies in the surf zone", Proceeding of 31st Conference on Coastal Engineering, pp.204~215 (2008)
- The impact of a solid body floating on the surface of an incompressible fluid, "Sedov, L.", CAHI, ~, pp.CAHI Report 187 (1934)
- Shao, S., "Incompressible SPH flow model for wave interactions with porous media", Coastal Engineering, 57, pp.304~316 (2010)
- Tveitnes, T., "An experimental investigation into the constant velocity water entry of wedge-shaped sections", Ocean Engineering, 35(14-15), pp.463~1478 (2008)
- Vandamme, J., "Modeling floating object entry and exit using smoothed particle hydrody-namics", Journal of Waterway, Port, Coastal, Ocean Engineering, 137(5), pp.213~224 (2011)
- Veen, D., "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 (2012)
- Vepa, K.S., "Pressure predictions during water entry of a 2D rigid cylinder using SPH method", 26th International Workshop on Water Waves and Floating Bodies (IWWWFB), pp.197~200 (2011)
- The impact of seaplane floats during landing, "Von Karman, T.", National Advisory Committee for Ae-ronautics, 1~16, pp.NACA TN 321 (1929)
- Wagner, H., "Phenomena associated with impacts and sliding on liquid surfaces", Mathematik und Mechanik, 12(4), pp.193~215 (1932)
- Yan, S., "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 (2007)
- Zhang, Y., "A level set immersed boundary method for water entry and exit", Communications in Computational Physics, 8(2), pp.265~288 (2010)
- Zhao, R., "Water entry of two-dimensional bodies", Journal of Fluid Mechanics, 246, pp.593~612 (1993)
- Zhao, R., "Water entry of arbitrary two-dimensional sections with and without flow separation", 21st Symposium on Naval Hydrodynamics, pp.408~423 (1997)