A platform for research: civil engineering, architecture and urbanism
Linear shoaling in Boussinesq-type wave propagation models
Abstract This work focuses on linear shoaling performance of low order Boussinesq-type equations. It is shown that the linear shoaling errors can be important in well known equations in the literature. New sets of coefficients are presented for three well known sets of equations. The sets are found so as to minimize a global linear error that includes celerity and shoaling errors. Finally, a new set of enhanced bilayer low order equations is presented, with much improved linear behavior (errors in wave celerity and wave amplitude below 1% up to kh =20). For completeness, the equations are written in their fully nonlinear version, and the nonlinear coefficients are also given.
Highlights Proper assessment of linear errors (dispersion AND shoaling) in Boussinesq-type equations New set of enhanced bilayer low order equations with highly improved linear dispersive performance Optimization procedure to obtain the sets of coefficients (linear and nonlinear) Use of numerical and analytical results for comparison
Linear shoaling in Boussinesq-type wave propagation models
Abstract This work focuses on linear shoaling performance of low order Boussinesq-type equations. It is shown that the linear shoaling errors can be important in well known equations in the literature. New sets of coefficients are presented for three well known sets of equations. The sets are found so as to minimize a global linear error that includes celerity and shoaling errors. Finally, a new set of enhanced bilayer low order equations is presented, with much improved linear behavior (errors in wave celerity and wave amplitude below 1% up to kh =20). For completeness, the equations are written in their fully nonlinear version, and the nonlinear coefficients are also given.
Highlights Proper assessment of linear errors (dispersion AND shoaling) in Boussinesq-type equations New set of enhanced bilayer low order equations with highly improved linear dispersive performance Optimization procedure to obtain the sets of coefficients (linear and nonlinear) Use of numerical and analytical results for comparison
Linear shoaling in Boussinesq-type wave propagation models
Simarro, Gonzalo (author) / Orfila, Alejandro (author) / Galan, Alvaro (author)
Coastal Engineering ; 80 ; 100-106
2013-05-27
7 pages
Article (Journal)
Electronic Resource
English
Linear shoaling in Boussinesq-type wave propagation models
Online Contents | 2013
|Linear shoaling in Boussinesq-type wave propagation models
British Library Online Contents | 2013
|Linear Shoaling and Non-Linear Analysis of a New Type of Extended Boussinesq Model
British Library Conference Proceedings | 2005
|British Library Online Contents | 2014
|