Dispersive nonlinear shallow-water equations:some preliminary numerical results

The dispersive nonlinear shallow-water equations of Antuono et al. (Stud Appl Math 122:1-28, 2008)are solved by means of an explicit arbitrary high-order accurate finite-volume scheme for nonlinear hyperbolic systems with stiff source terms. Tests against typical benchmark solutions are used to illustrate the robustness and accuracy of the solver while typical solutions for the propagation of solitary waves on a slope highlight the solution value in reproducing nearshore flows.