2018
DOI: 10.3390/app8040517
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A Body-Nonlinear Green’s Function Method with Viscous Dissipation Effects for Large-Amplitude Roll of Floating Bodies

Abstract: Abstract:A novel time-domain body-nonlinear Green's function method is developed for evaluating large-amplitude roll damping of two-dimensional floating bodies with consideration of viscous dissipation effects. In the method, the instantaneous wetted surface of floating bodies is accurately considered, and the viscous dissipation effects are taken into account based on the "fairly perfect fluid" model. As compared to the method based on the existing inviscid body-nonlinear Green's function, the newly proposed … Show more

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Cited by 3 publications
(3 citation statements)
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“…More recently, Guo et al (2018a;2018b) incorporated the viscous dissipation effects into the free-surface equation and then developed a novel 2D time domain Green's function, which was proved to have better numerical stability in evaluating the interaction between waves and floating bodies with flare angles.…”
Section: The Computational Complexity and Numerical Stability Of The mentioning
confidence: 99%
See 1 more Smart Citation
“…More recently, Guo et al (2018a;2018b) incorporated the viscous dissipation effects into the free-surface equation and then developed a novel 2D time domain Green's function, which was proved to have better numerical stability in evaluating the interaction between waves and floating bodies with flare angles.…”
Section: The Computational Complexity and Numerical Stability Of The mentioning
confidence: 99%
“…Nonetheless, the SES to be studied in this paper is almost wall-sided and not subjected to the issue of numerical instability, so no special treatments are needed. If the 2.5D method would be used for floating bodies with flare angles, the developments in Guo et al (2018a;2018b) should be implemented.…”
Section: The Computational Complexity and Numerical Stability Of The mentioning
confidence: 99%
“…The vessel's roll damping can be described as linear for vessels with small roll amplitudes [8] but linear models are insufficient for vessels with large roll amplitudes, therefore, nonlinearities need to be accounted for when the roll amplitude is large enough to capsize the vessel [9]. Nonlinearities are further important when considering the effect of bilge keels [10] or liquid cargo motion [5].…”
Section: Introductionmentioning
confidence: 99%