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Added mass computations by integral equation methods
Author(s) -
Ousset Y.,
Sayhi M. N.
Publication year - 1983
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620190906
Subject(s) - inviscid flow , rotational symmetry , added mass , integral equation , cantilever , compressibility , mass matrix , mathematical analysis , computation , boundary value problem , finite element method , mathematics , boundary element method , hydroelasticity , matrix (chemical analysis) , fluid–structure interaction , mechanics , physics , vibration , structural engineering , materials science , engineering , acoustics , thermodynamics , algorithm , composite material , neutrino , nuclear physics
This paper presents boundary integral equation procedures for calculating the added mass matrix required to determine hydroelastic vibrational modes of tanks or immersed structures. The liquid is assumed inviscid and incompressible and no surface waves are admitted. Two symmetric variational formulations of the boundary integral equation are derived, including the free surface condition and possible conditions of symmetry. These are approximated by a curved finite element method and numerical results are presented for an axisymmetric tank, immersed cantilever plates and a three‐dimensional fuel storage container.