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A coupled variational principle for 2D interactions between water waves and a rigid body containing fluid

Published online by Cambridge University Press:  18 August 2017

Hamid Alemi Ardakani Open the ORCID record for Hamid Alemi Ardakani [Opens in a new window]
Hamid Alemi Ardakani*
Affiliation:
Department of Mathematics, College of Engineering, Mathematics and Physical Sciences, University of Exeter, Penryn Campus, Penryn, Cornwall TR10 9EZ, UK
*
†Email address for correspondence: alemi.hamid@gmail.com
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Abstract

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.

JFM classification

Mathematical Foundations: Variational methods

Information

Type
Rapids
Information
Journal of Fluid Mechanics , Volume 827 , 25 September 2017 , R2
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Copyright
© 2017 Cambridge University Press 

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