Abstract
A time-domain second-order method is developed to study nonlinear wave diffraction around a surface-piercing body of arbitrary shape in three dimensions. The free-surface boundary conditions and the radiation condition are satisfied to second order by a numerical integration in time, and the field solution at each time step is obtained by an integral equation method based on Green’s theorem. The solution is separated into a known incident potential and a scattered potential to be determined. The radiation condition applied to the scattered potential is modified to incorporate a time-dependent celerity to account for the transient and second-order effects. With initial conditions corresponding to a Stokes second-order wave field in the domain, the scattered potential is allowed to develop im time and space through the imposition of the body-surface boundary condition. The computed wave force and free-surface elevation components at second order are compared with previous theoretical results for the case of a surface-piercing circular cylinder and a favorable agreement is indicated.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Journal of Waterway, Port, Coastal, and Ocean Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.