New Hamiltonian equations of high accuracy for ocean waves with applications in determining wave forces on offshore structures
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 4 October 2017
Issue publication date: 4 October 2017
Abstract
Purpose
The purpose of this paper is to propose a new approach to further obtain reduced Hamiltonian equations for certain nonlinear cases of finite amplitude.
Design/methodology/approach
Chebyshev polynomials are introduced to best approximate the primitive exact wave equations.
Findings
New results are derived for certain nonlinear cases of finite amplitude. Furthermore, ranges of applicability are determined in conjunction with the error analyses for various cases. In particular, the new structure can give a new highly accurate formula for determining the wave forces of the offshore structures.
Originality/value
New reduced Hamiltonian equations for nonlinear surface gravity waves have been derived for certain cases of finite amplitude for the first time. And the new structure can give a new highly accurate formula for determining the wave forces of offshore structures. These results extend the usual results for weakly nonlinear surface waves to nonlinear surface waves over certain finite ranges.
Keywords
Acknowledgements
This work was carried out under the joint support of the funds from the Project of Shandong Province Higher Educational Science and Technology Program (No. J17KB010), from Natural Science Foundation of China (No. 11372172).
Citation
Wang, Z. (2017), "New Hamiltonian equations of high accuracy for ocean waves with applications in determining wave forces on offshore structures", Multidiscipline Modeling in Materials and Structures, Vol. 13 No. 3, pp. 489-500. https://doi.org/10.1108/MMMS-06-2017-0057
Publisher
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited