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A new acoustic interface element for fluid‐structure interaction problems
Author(s) -
Rajakumar C.,
Ali Ashraf,
Yunus Shah M.
Publication year - 1992
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.1620330209
Subject(s) - finite element method , discretization , fluid–structure interaction , shell (structure) , mixed finite element method , boundary element method , extended finite element method , helmholtz free energy , smoothed finite element method , interface (matter) , helmholtz equation , computation , fluid dynamics , mathematical analysis , mathematics , boundary value problem , boundary knot method , mechanics , physics , mechanical engineering , structural engineering , algorithm , engineering , bubble , quantum mechanics , maximum bubble pressure method
Abstract A new comprehensive acoustic 2‐D interface element capable of coupling the boundary element (BE) and finite element (FE) discretizations has been formulated for fluid–structure interaction problems. The Helmholtz equation governing the acoustic pressure in a fluid is discretized using the BE method and coupled to the FE discretization of a vibrating structure that is in contact with the fluid. Since the BE method naturally maps the infinite fluid domain into finite node points on the fluid–structure interface, the formulation is especially useful for problems where the fluid domain extends to infinity. Details of the BE matrix computation process adapted to FE code architecture are included for easy incorporation of the interface element in FE codes. The interface element has been used to solve a few simple fluid–structure problems to demonstrate the validity of the formulation. Also, the vibration response of a submerged cylindrical shell has been computed and compared with the results from an entirely finite element formulation.