On the numerical simulation of the nonbreaking solitary waves run up on sloping beaches

Abstract

In this paper, a solitary wave propagation problem running up on a range of relatively steep slopes to gentle slopes is investigated. Boussinesq solitary wave generation method is used in five beach slopes with the still water heights of 15.0–68.6 cm and relative wave heights of 0.046–0.348. The incompressible smoothed particle hydrodynamics method is utilized as the numerical method. Simulation results are compared with analytical results and experimental data in terms of free surface displacement, maximum run up, shoreline movement and fluid particle velocity. Surface profile results agree reasonably with the analytical results at run down and horizontal particle velocities coincide with the experimental data. Furthermore, the results of maximum run up show that for moderate and large wave heights, Lagrangian numerical results pursuit the maximum run up of the experimental data with acceptable accuracy.