Single wave on a simple beach (Initial value problem)

This test compares against an analytic solution to the nonlinear shallow water equations for a wave on a linear beach. Summarized at the

benchmark site: http://nctr.pmel.noaa.gov/benchmark/Analytical/Analytical_IVP/index.html

This is still under development.

Challenges:

• In PMEL-135 it is stated that "Numerical models should calculate the maximum runup of nonbreaking solitary and N-waves within 5% of the calculated value from the analytical solution." However, it is not stated what grid resolution should be used. Since the numerical method is being compared to an analytic solution of the shallow water equations, any convergent method should be able to attain any prescribed accuracy by using a sufficiently fine grid.

Other benchmarks