Abstract
A formal derivation of the improved Boussinesq equations of Madsen and Sørensen (1992) is presented to provide the correct forms of the depth-gradient related terms. Linear shoaling characteristics of the new equations are investigated by the method of Madsen and Sørensen (1992) and by the energy flux concept separately and found to agree perfectly, whereas these approaches give conflicting results for the equations derived by Madsen and Sørensen (1992). Furthermore, Nwogu's (1993) modified Boussinesq model is found to produce a linear shoaling-gradient identical with the present work. Numerical modelling of the derived equations for directional waves is carried out by three-time-level finite-difference approximations. A higher-order radiation condition is implemented for effective absorption of the outgoing waves. Several test cases are included to demonstrate the performance of the model.
| Original language | English |
|---|---|
| Pages (from-to) | 691-704 |
| Number of pages | 14 |
| Journal | Ocean Engineering |
| Volume | 23 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - Nov 1996 |
Funding
Acknowledgemenrs-This work was carried out while the first author was at T.I.T. through a grant from the Kajima Foundation of Japan and subsequently from T.I.T. The authors would like to thank Mrs. E. Tsukamoto for typing the manuscript and a graduate student 0. Ohno for helping with the figures.
| Funders | Funder number |
|---|---|
| Kajima Foundation of Japan |