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Modelling of radiation damping in fluids by finite elements
Author(s) -
Sharan Shailendra K.
Publication year - 1986
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.1620230514
Subject(s) - radiation damping , inviscid flow , finite element method , computation , truncation (statistics) , added mass , boundary value problem , boundary (topology) , compressibility , matrix (chemical analysis) , mathematics , fluid–structure interaction , computational fluid dynamics , mechanics , mathematical analysis , vibration , physics , engineering , structural engineering , algorithm , materials science , acoustics , statistics , particle physics , composite material
A very efficient technique is presented to model the effects of radiation damping in the computation of added mass for the dynamic analysis of submerged structures. The structure is assumed to be surrounded by an infinite, incompressible and inviscid fluid field and the effect of the free surface is neglected. The technique is implemented in the finite element analysis of two‐dimensional problems, assuming pressure to be the nodal unknown. The implementation procedure is quite simple and the symmetrical and banded form of the matrix of coefficients remains unchanged. With the use of the proposed radiation condition, the fluid field may be truncated at a relatively very short distance from the solid—fluid interface. This results in great computational advantages. Furthermore, a guideline is suggested for the selection of the geometry and the location of the truncation boundary to enhance the computational efficiency. The effectiveness and efficiency of the technique is demonstrated by analysing several cases for different geometries of the solid—fluid interface and the truncation boundary.