Introduction

Boussinesq equations include the effects of weak dispersion and nonlinearity in a shallow water framework and allow accurate nearshore simulation of wave transformation processes. Extended Boussinesq equation systems allow the models to be applied in deeper water and so extend the range of usefulness of the models, as well as increasing the accuracy of the linear dispersion characteristics of the model. Nwogu's extended Boussinesq system is solved using a method of lines approach with an unstructured linear triangular finite element spatial discretisation combined with an adaptive time integration strategy. The time integration uses the SPRINT software, which was developed within the CPDE Unit, for the 1D system and DASPK for the 2D system. Both solve differential-algebraic equation systems with adaptive order, adaptive step size BDF time integration based on sophisticated error control.

This work was Mark Walkley's PhD research project, supervised by Prof. Martin Berzins.

Results

Further Information

Further details and publications are available.