Linear seakeeping and added resistance analysis by means of body-fixed coordinate system

Yanlin Shao, Odd M. Faltinsen

Research output: Contribution to journalJournal articleResearchpeer-review


This paper presents an alternative formulation of the boundary value problem for linear seakeeping and added resistance analysis based on a body-fixed coordinate system. The formulation does not involve higher-order derivatives of the steady velocity potential on the right-hand side of the body-boundary condition, i.e., the so-called mj -terms in the traditional formulation when an inertial coordinate system is applied. Numerical studies are made for a modified Wigley I hull, a Series 60 ship with block coefficient 0.7, and the S175 container ship for moderate forward speeds where it is thought appropriate to use the double-body flow as basis flow. The presented results for the forced heave and pitch oscillations, motion responses, and added resistance in head-sea waves show good agreement with experiments and some other numerical studies. A Neumann-Kelvin formulation is shown to give less satisfactory results, in particular for coupled heave and pitch added mass and damping coefficients.
Original languageEnglish
JournalJournal of Marine Science and Technology
Issue number4
Pages (from-to)493-510
Publication statusPublished - 2012
Externally publishedYes


  • Seakeeping
  • Added resistance
  • Body-fixed coordinate system
  • mj-Terms
  • Boundary element method


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