NONLINEARITY OF BOUSSINESQ-TYPE EQUATIONS AND ITS ROLE ON WAVE TRANSFORMATION

摘要

This paper deals with nonlinear features of some Boussinesq-type equations. Due to the flexibility in deriving a set of Boussinesq-type equations, analysis of the derived set is an important process in determining its performance. Features of three recent Boussinesq-type equations are discussed here. Accuracy of the steady, permanent-form waves admitted by these equations is discussed with respect to the exact equations from 'Stream Function' theory on a two-parameter space of wave number (frequency) and wave height. Computed results from three Boussinesq-type models for a practical case of transformation of waves over a submerged bar are presented and discussed with respect to their linear and nonlinear features and experimental measurement.