Abstract
The nonlinear properties of finite-amplitude water waves are modelled by a numerical method based on the Marker and Cell technique. The paper introduces the Stanford University Modified MAC (SUMMAC) code which is shown to be a valid tool for analyzing incompressible flows with a free surface under transient conditions. The method is applied as an example to the run up of a solitary wave on a vertical wall. The results are compared critically with available experimental data.
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