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Dimension-Reduced Model for Deep-Water Waves
Journal of Applied Mathematics and Physics
Starting from the 2D Euler equations for an incompressible potential flow, a dimension-reduced model describing deep-water surface waves is derived. Similar to the Shallow-Water case, the z-dependence of the dependent variables is found explicitly from the Laplace equation and a set of two onedimensional equations in x for the surface velocity and the surface elevation remains. The model is nonlocal and can be formulated in conservative form, describing waves over an infinitely deep layer.doi:10.4236/jamp.2019.71007 fatcat:tvag56l3xzee7fnqd5ifheqrqe