Numerical Simulations of Wave Generation by a Vertical Plunger Using RANS and SPH Models
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 134, Issue 3
Abstract
The water wave generation by a freely falling rigid body is examined in this paper. Two different two-dimensional numerical approaches have been utilized to simulate the time histories of fluid motion, free surface deformation, and the vertical displacement of a rectangular-shape rigid body. While the first approach is based on the Reynolds-averaged Navier–Stokes (RANS) equations, with the closure model to compute the turbulence intensity, the second uses the smoothed particle hydrodynamics (SPH) method. Numerical simulations using several different initial elevations of the rigid body and different water depths have been performed. The displacement of the moving rigid body is determined by dynamic equilibrium of the forces acting on the body. Numerical results obtained from both approaches are discussed and compared with experimental data. Images of the free surface profile and falling rigid body recorded from the laboratory tests are compared with numerical results. Good agreement is observed. Numerical solutions for the velocity fields, pressure distributions, and turbulence intensities in the vicinity of the falling rigid body are also presented. The similarity and discrepancy between the solutions obtained by the two approaches are discussed.
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Acknowledgments
Partial support from the National Science Foundation Grant Nos. NSFCMS-9908392 and NSFCMS-0217744, and the U.S. Office of Naval Research Grant Nos. ONRN00014-04-10008 and ONRN00014-06-10326 are gratefully acknowledged. Experiments and the SPH numerical simulations were funded by The Italian National Dam Office and by MIUR projects (COFIN 2004 “Onde di maremoto generate da frane in corpi idrici: meccanica della generazione e della propagazione, sviluppo di modelli previsionali e di sistemi di allerta in tempo reale basati su misure mareografiche”) whose scientific coordinator is Professor Paolo De Girolamo, L’Aquila University. He is gratefully acknowledged. Finally, the writers thank the Consorzio Ricerca Gran Sasso that has provided the computer resources needed to run SPH simulations.MIUR
References
Belytschko, T., Liu, W. K., and Moran, B. (2000). Nonlinear finite element for continua and structures, Wiley, West Sussex, U.K.
Chang, K-A., Hsu, T.-J., and Liu, P. L.-F. (2001). “Vortex generation and evolution in water waves propagating over a submerged rectangular obstacle. Part I. solitary waves.” Coastal Eng., 44, 13–36.
Chang, K. A., Hsu, T.-J., and Liu, P. L.-F. (2005). “Vortex generation and evolution in water waves propagating over a submerged rectangular obstacle. Part II: Cnoidal waves.” Coastal Eng., 52(3), 257–283.
Chorin, A. J. (1968). “Numerical solution of the Navier-Stokes equations.” Math. Comput., 22, 745–762.
Di Risio, M. (2005). “Landslide generated impulsive waves: Generation, propagation and interaction with plane slopes.” Ph.D. thesis, Univ. Degli Studi di Roma Tre, Rome.
Gingold, R. A., and Monaghan, J. J. (1977). “Smoothed particle hydrodynamics: Theory and application to non-spherical stars.” Mon. Not. R. Astron. Soc., 181, 375–389.
Hirt, C. W., and Nichols, B. D. (1981). “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys., 39, 201–225.
Hsu, T.-J., Sakakiyama, T., and Liu, P. L.-F. (2002). “A numerical model for waves and turbulence flow in front of a composite breakwater.” Coastal Eng., 46, 25–50.
Johnson, G. R., Stryk, R. A., and Beissel, S. R. (1996). “SPH for high velocity impact computations.” Comput. Methods Appl. Mech. Eng., 139, 344–373.
Lin, P. (1998). “Numerical modeling of breaking waves.” Ph.D. thesis, Cornell Univ., Ithaca, N.Y.
Lin, P., and Liu, P. L.-F. (1998a). “A numerical study of breaking waves in the surf zone.” J. Fluid Mech., 359, 239–264.
Lin, P., and Liu, P. L.-F. (1998b). “Turbulence transport, vorticity dynamics, and solute mixing under plunging breaking waves in surf zone.” J. Geophys. Res., 103, 15677–15694.
Liu, P. L.-F., and Al-Banaa, K. (2004). “Solitary wave runup and force on a vertical barrier.” J. Fluid Mech., 505, 225–233.
Liu, P. L.-F., Lin, P., Chang, K.-A., and Sakakiyama, T. (1999). “Numerical modeling of wave interaction with porous structures.” J. Waterway, Port, Coastal, Ocean Eng., 125(6), 322–330.
Lucy, L. B. (1977). “Numerical approach to testing the fission hypothesis.” Astron. J., 82, 1013–1024.
Monaghan, J. (1994). “Simulating free surface flows with SPH.” J. Comput. Phys., 110, 399–406.
Monaghan, J., and Kos, A. (2000). “Scott Russell’s wave generator.” Phys. Fluids, 12, 622–630.
Monaghan, J., Kos, A., and Issa, N. (2003). “Fluid motion generated by impact.” J. Waterway, Port, Coastal, Ocean Eng., 129(6), 250–259.
Morris, J. (1996). “Analysis of smoothed particle hydrodynamics with applications.” Ph.D. thesis, Monash Univ., Melbourne, Australia.
Panizzo, A. (2004a). “Physical and numerical modeling of subaerial landslide generated waves.” Ph.D. thesis, Univ. degli studi di L’Aquila, L’Aquila, Italy.
Panizzo, A. (2004b). “SPH modelling of water waves generated by landslides.” Proc., Convegno di Idraulica e Costruzioni Idrauliche IDRA 2004, Trento, Italy.
Panizzo, A., and Dalrymple, R. A. (2004). “SPH modelling of underwater landslide generated waves.” Proc., ICCE 2004, Lisbon, Portugal.
Rodi, W. (1980). Turbulence models and their application in hydraulics—A state-of-the-art review, IAHR.
Schlatter, B. (1999). “A pedagogical tool using smoothed particle hydrodynamics to model fluid flow past a system of cylinders.” Ph.D. thesis, Dual MS Project, Oregon State Univ., Corvallis, Ore.
Shih, T. H., Zhu, J., and Lumley, J. L. (1996). “Calculation of wall-bounded complex flows and free shear flows.” Int. J. Numer. Methods Fluids, 23, 1133–1144.
Yuk, D., Yim, S. C., and Liu, P. L. F. (2006). “Numerical modeling of submarine mass-movement generated waves using RANS model.” Comput. Geosci., 32, 927–935.
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© 2008 ASCE.
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Received: Mar 7, 2006
Accepted: Sep 12, 2006
Published online: May 1, 2008
Published in print: May 2008
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