A decomposition technique is employed in identifying the coefficients of a Fourier series-based linear wave model. Two decomposed subproblems are formulated, one in the frequency domain and one in the direction domain. Less computation time is required when solving the two subproblems sequentially, compare to solving the original problem directly. A stretched method that takes the instantaneous free surface as the reference position in computing the water particle velocities achieves better agreement with the experimental data than the standard linear approach where the reference position is taken at the mean water level.

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