In this paper, a finite volume model based on the non-linear shallow water (NLSW) equations is developed to investigate the propagation and run-up of non-breaking and breaking solitary waves. The total variation diminishing version of weighted average flux (TVD-WAF) explicit method in conjugation with the Harten-Lax-van Leer (HLL) approximate Riemann solver estimates the numerical flux in the governing equations. The bed topography and friction source terms are treated in a fully implicit way. The accuracy of the model is verified by recourse to availablee xperimental data as well as existing run-up laws.
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