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A Higher Order Time Domain Rankine Panel Method for Linear and Weakly Non-Linear Computation

[+] Author Affiliations
Felipe Ruggeri, Rafael A. Watai, Alexandre N. Simos

University of São Paulo, São Paulo, Brazil

Paper No. OMAE2015-42234, pp. V001T01A040; 10 pages
doi:10.1115/OMAE2015-42234
From:
  • 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
  • Conference Sponsors: Ocean, Offshore and Arctic Engineering Division
  • ISBN: 978-0-7918-5647-5
  • Copyright © 2015 by ASME

abstract

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.

Copyright © 2015 by ASME
Topics: Computation

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