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Water 2018, 10(1), 72; https://doi.org/10.3390/w10010072

A Time-Domain Green’s Function for Interaction between Water Waves and Floating Bodies with Viscous Dissipation Effects

1
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
2
School of Engineering and Mathematical, City University London, London EC1V 0HB, UK
*
Author to whom correspondence should be addressed.
Received: 23 December 2017 / Revised: 8 January 2018 / Accepted: 12 January 2018 / Published: 15 January 2018
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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. View Full-Text
Keywords: water waves; Green’s function; viscous dissipation effects; interaction between water waves and floating bodies water waves; Green’s function; viscous dissipation effects; interaction between water waves and floating bodies
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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).
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Guo, Z.; Ma, Q.W.; Qin, H. A Time-Domain Green’s Function for Interaction between Water Waves and Floating Bodies with Viscous Dissipation Effects. Water 2018, 10, 72.

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