A FOURTH ORDER BOUSSINESQ-TYPE WAVE MODEL

Mauricio F. Gobbi, James T. Kirby

Abstract


A fully nonlinear Boussinesq-type model with dispersion accurate to 0((kh)4) is derived. As an extension to the second order extended model proposed by Nwogu (1993), a new dependent variable is defined as a weighted average between the velocity potential at two distinct water depths to force the model to have a (4,4) Pade approximation of the exact dispersion relationship. The present model is similar to the fully nonlinear extension of Nwogu's model proposed by Wei et al (1995), except that the dependent variable is expanded in a fourth (rather than second) order polynomial in the vertical coordinate.

Keywords


Boussinesq model; fourth order model; wave model

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