A coupled variational principle for 2D interactions between water waves and a rigid body containing fluid
Alemi Ardakani, H
Journal of Fluid Mechanics
Cambridge University Press (CUP)
© 2017 Cambridge University Press
Reason for embargo
New variational principles are given for the two-dimensional interactions between gravity-driven water waves and a rotating and translating rectangular vessel dynamically coupled to its interior potential flow with uniform vorticity. The complete set of equations of motion for the exterior water waves, the exact nonlinear hydrodynamic equations of motion for the vessel in the roll/pitch, sway/surge and heave directions, and also the full set of equations of motion for the interior fluid of the vessel, relative to the body coordinate system attached to the rotating–translating vessel, are derived from two Lagrangian functionals.
This work is partially supported by the EPSRC under grant no. EP/K008188/1. The author is grateful to the University of Surrey for the award of a two-year Visiting Researcher Fellowship between 2010 and 2013.
This is the author accepted manuscript. The final version is available from CUP via the DOI in this record.
Vol. 827, article R2
- Mathematics