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A time-domain Green's function for interaction betweenwaterwaves and floating bodies with viscous dissipation effects

Guo, Z., Ma, Q. and Qin, H. (2018). A time-domain Green's function for interaction betweenwaterwaves and floating bodies with viscous dissipation effects. Water, 10(1), doi: 10.3390/w10010072

Abstract

A novel time-domain Green's function is developed for dealing with two-dimensional interaction between water waves and floating bodies with considering viscous dissipation effects based on the "fairly perfect fluid" model. In the Green's function, the temporal (lower order viscosity coefficient term) and spatial (higher order viscosity coefficient term) viscous dissipation effects are fully considered. As compared to the methods based on the existing time-domain Green's functions that could not account for the spatial viscous dissipation, the method based on the new time-domain Green's function can give much better numerical results and overcome instability problems related to the existing Green's function, according to the numerical tests and comparison with CFD modeling data for a few cases related to floating bodies with a flare angle.

Publication Type: Article
Additional Information: © 2018 The Authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
Publisher Keywords: water waves; Green’s function; viscous dissipation effects; interaction between water waves and floating bodies
Departments: School of Mathematics, Computer Science & Engineering > Engineering
URI: http://openaccess.city.ac.uk/id/eprint/18968
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