Water Particle Motion under Deep Water Stokes Waves

by William R. Brownlie, (A.M.ASCE),

Serial Information: Journal of the Waterway, Port, Coastal and Ocean Division, 1979, Vol. 105, Issue 1, Pg. 89-94

Document Type: Journal Paper


In this note the standard equations for Lagrangian particle trajectory given by Wiegel are shown to violate the kinematics of the free surface. A perturbation technique is presented and second-order equations are developed for the deep-water case, based in part on the derivations of Dean and Eagleson and Currie and the numerical procedure of Chaplin.

Subject Headings: Water waves | Water management | Motion (dynamics) | Lagrangian functions | Particles | Kinematics | Free surfaces | Deep water

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