Numerical evaluation of double and single integral versions of the green function for wave resistance determination

Mirjam Fürth, Mingyi Tan, Zhi Min Chen, Makoto Arai

Abstract

Rayleigh damping is introduced into a potential flow based method in order to improve wave resistance determination. The problem is modelled using Kelvin sources with a translating speed. A dissipative 3D Green function is applied. The inclusion of Rayleigh damping removes the singularity associated with conventional Green functions. However, in this study it is shown that this benefit is purely mathematical and that the numerical complexity associated with the integration of a double integral is still best overcome by separating the double integral into two single integrals. The wave resistance for submerged ellipsoid is determined using a panel method.

Original languageEnglish
Title of host publicationProceedings of the International Offshore and Polar Engineering Conference
PublisherInternational Society of Offshore and Polar Engineers
Pages1031-1039
Number of pages9
Volume2015-January
ISBN (Print)9781880653890
StatePublished - 2015
Event25th International Ocean and Polar Engineering Conference, ISOPE 2015 - Kona, Big Island, United States

Other

Other25th International Ocean and Polar Engineering Conference, ISOPE 2015
CountryUnited States
CityKona, Big Island
Period15/6/2115/6/26

Fingerprint

Green's function
Damping
Potential flow

Keywords

  • Dissipative potential flow
  • Green function
  • Numerical Integration
  • Panel method
  • Rayleigh Damping
  • Single Integrals
  • Wave resistance

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Mechanical Engineering
  • Ocean Engineering

Cite this

Fürth, M., Tan, M., Chen, Z. M., & Arai, M. (2015). Numerical evaluation of double and single integral versions of the green function for wave resistance determination. In Proceedings of the International Offshore and Polar Engineering Conference. (Vol. 2015-January, pp. 1031-1039). International Society of Offshore and Polar Engineers.

Numerical evaluation of double and single integral versions of the green function for wave resistance determination. / Fürth, Mirjam; Tan, Mingyi; Chen, Zhi Min; Arai, Makoto.

Proceedings of the International Offshore and Polar Engineering Conference. Vol. 2015-January International Society of Offshore and Polar Engineers, 2015. p. 1031-1039.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Fürth, M, Tan, M, Chen, ZM & Arai, M 2015, Numerical evaluation of double and single integral versions of the green function for wave resistance determination. in Proceedings of the International Offshore and Polar Engineering Conference. vol. 2015-January, International Society of Offshore and Polar Engineers, pp. 1031-1039, 25th International Ocean and Polar Engineering Conference, ISOPE 2015, Kona, Big Island, United States, 21-26 June.
Fürth M, Tan M, Chen ZM, Arai M. Numerical evaluation of double and single integral versions of the green function for wave resistance determination. In Proceedings of the International Offshore and Polar Engineering Conference. Vol. 2015-January. International Society of Offshore and Polar Engineers. 2015. p. 1031-1039.

Fürth, Mirjam; Tan, Mingyi; Chen, Zhi Min; Arai, Makoto / Numerical evaluation of double and single integral versions of the green function for wave resistance determination.

Proceedings of the International Offshore and Polar Engineering Conference. Vol. 2015-January International Society of Offshore and Polar Engineers, 2015. p. 1031-1039.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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