Overland flow on converging and diverging surfaces — Assessment of numerical schemes

The similarity solutions of the equations of kinematic flow on a cone-shaped surface, provide a means for checking the numerical models used for converging and diverging flows. These models can be further improved if the initial excess rainfall curve can be described as a power of time. Illustration of this improvement and assessment of numerical models are given for a constant excess rainfall and for excess rainfall proportional to the inverse of the square root of time.