This paper presents a higher order time domain boundary elements method based on the Rankine sources for the computation of both linear and weakly non-linear effects for both fixed and free floating bodies. The geometry is described based on surfaces in a standard iges file, considering a NURBS (Non Uniform Rational Basis-Spline) description. The potential function, velocity, free-surface elevation and other quantities are defined using b-splines of arbitrary degree and the floating body interaction is solved using the potential acceleration approach on a Runge-Kutta scheme for time evolution. The integral equation is obtained and solved considering several possibilities for the collocation points, leading to an over-determined system. The integration over the panels is performed using a mixed desingularized-numerical method over Gaussian points. The results comparison are performed with WAMIT solution for a floating sphere concerning wave runup, body motions, velocity field, mean drift components in time domain.
- Ocean, Offshore and Arctic Engineering Division
A Higher Order Time Domain Rankine Panel Method for Linear and Weakly Non-Linear Computation
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Ruggeri, F, Watai, RA, & Simos, AN. "A Higher Order Time Domain Rankine Panel Method for Linear and Weakly Non-Linear Computation." Proceedings of the ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. Volume 1: Offshore Technology; Offshore Geotechnics. St. John’s, Newfoundland, Canada. May 31–June 5, 2015. V001T01A040. ASME. https://doi.org/10.1115/OMAE2015-42234
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