Abstract
Smoothed Particle Hydrodynamics (SPH) is a meshless method which takes a Lagrangian approach. It is different from the traditional methods using mesh system. A number of numerical simulations of a solitary wave propagation using SPH method on a vertical wall and a sloping wall are carried out. The wave run-ups obtained this simulations are compared with the experimental date and resulted good agreement. The water surface profile on a sloping wall is also compared in detail with the experimental data and a good agreement is obtained. The results of particle configuration and velocity distribution at various times are visualized. It is shown that the method can simulate the sloshing phenomena of a solitary wave propagation, run-up, run-down and backwash with good accuracy.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Batchelor, G.K. (1967). An Introduction to Fluid Dynamics, Cambridge University Press.
Camfield, F.E. and Street, R.L. (1969). “Shoaling of solitary waves on small slopes.” Journal of the Waterway and Harbors Division, ASCE 95, WW1, pp. 1–22.
Chan, R.K.-C. and Street, R.L. (1970). “A computer study of finite amplitude water waves.” Journal of Computational Physics, Vol. 6, pp. 68–94.
Gingold, R.A. and Monaghan, J.J. (1977). “Smoothed particle hydrodynamics: theory and application to non-spherical stars.” Mon. Not. R. Astr. Soc., 181, pp. 375–389.
Gomez-Gesteira, M. and Dalrymple, R.A. (2004). “Using a 3D SPH method for wave impact on a tall structure.” Journal of Waterway Port, Coastal Ocean Engineering, Vol. 130, No. 2, pp. 63–69.
Kim, N.H. and Ko, H.S. (2007). “Numerical simulation of the Water Column Collapse using SPH Method.” KSCE Journal of Civil Engineering, Vol. 27, No. 3, pp. 313–318 (in Korean).
Li, Y. and Raichlen, F. (2001). “Solitary wave run-up on plane slopes.” Journal of Waterway Port, Coastal and Ocean Engineering, Vol. 127, pp. 33–44.
Monaghan, J.J. (1994). “Simulating free surface flows with SPH.” Journal of Computational Physics, 110, pp. 399–406.
Monaghan, J.J. and Gingold, R.A. (1983). “Shock simulation by the particle method SPH.” Journal of Computational Physics, Vol. 52, pp. 374–389.
Monaghan, J.J. and Kos, A. (1999). “Solitary waves on a Cretan beach.” Journal of Waterway Port, Coastal and Ocean Engineering, Vol. 125, pp. 145–154.
Monaghan, J.J. and Lattanzio, J.C. (1985). “A refined particle method for astrophysical problem.” Astronomy and Astrophysics, Vol. 149, pp. 135–143.
Shao, S. (2005). “SPH simulation of solitary wave interaction with a curtain-type breakwater.” Journal of Hydraulic Research, Vol. 43, No. 4, pp.336–375.
Hughes, S.A. (1993). Physical Models and Laboratory Techniques in Coastal Engineering, World Scientific.
Synolakis, C.E. (1987). “The run-up of solitary waves.” Journal of Fluid Mechanics, Vol. 185, pp. 523–545.
Zelt, J.A. (1991). “The run-up of non-breaking and breaking solitary waves.” Coastal Engineering, Vol. 15, No. 3, pp. 205–246.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kim, N.H., Ko, H.S. Numerical simulation on solitary wave propagation and run-up by SPH method. KSCE J Civ Eng 12, 221–226 (2008). https://doi.org/10.1007/s12205-008-0221-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-008-0221-y