Development and Validation of Quasi-Eulerian Mean Three-Dimensional Equations of Motion Using the Generalized Lagrangian Mean Method

This study aims at developing a new set of equations mean motion in the presence surface waves, which is practically applicable from deep water to coastal zone, estuaries, and outflow areas. The generalized Lagrangian (GLM) method employed derive quasi-Eulerian three-dimensional motion, where effects waves are included through source terms. obtained expressed second-order wave amplitude. Whereas classical Eulerian-mean only below trough, valid until even finite-amplitude waves. A two-dimensional numerical model (2DV model) developed validate motion. 2DV passes test steady monochromatic propagating over slope without dissipation (adiabatic condition). primary for with known analytical solution. In addition this, experimental data interaction between random current both non-breaking breaking model. As shown by this successful implementation validation, these any 3D code straightforward may be expected provide consistent results surf under weak strong ambient currents.