This test case is the first benchmark problem of "The Third International Workshop on Long-Wave Runup Models". A solitary wave runs up a plane inclined beach. Reference solutions are provided by the initial-value-problem (IVP) technique introduced by Carrier et al [10].
Figure 151 illustrates the topography and wave profiles at t=160, 175 and 220 seconds. Figure 152 gives the convergence in wave elevation error with spatial resolution.
Figure 151: Topography, analytical (lines) and numerical (symbols) wave profiles for the times indicated in the legend. The numerical results are for a maximum spatial resolution of ≈ 3.6 metres. 
Figure 152: Convergence of the average and maximum errors with spatial resolution. The errors are for the predicted wave profile at t=220 sec. 