Nonlinear Decomposition of a 2-D Wave Field

by Jun Zhang, Texas A&M Univ, College Station, United States,
R. E. Randall, Texas A&M Univ, College Station, United States,
L. Chen, Texas A&M Univ, College Station, United States,
C. A. Spell, Texas A&M Univ, College Station, United States,
J. K. Longridge, Texas A&M Univ, College Station, United States,
M. Ye, Texas A&M Univ, College Station, United States,



Document Type: Proceeding Paper

Part of: Ocean Wave Measurement and Analysis

Abstract:

Based on an understanding of nonlinear wave interaction in dual component wave, a new numerical scheme allowing for hybrid wave-mode modeling has been developed. in the hybrid wave-mode modeling a conventional wave-mode function is used to describe high-frequency component waves, and a modulated wave-mode function to describe high-frequency component waves, and a modulated wave-mode function to describe high-frequency component waves. As a result rapid convergence is obtained for the nonlinear decomposition and free wave distinguishable from bound waves. Using this numerical scheme, prediction of wave kinematics and wave propagation based on a time record of two-dimensional wave elevation are computed and display satisfactory comparison with related laboratory measurements.

Subject Headings: Nonlinear waves | Water waves | Wave propagation | Wave measurement | Wave equations | Kinematic waves | Two-dimensional models

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