A Lagrangian meshless finite element method applied to fluid–structure interaction problems

A method is presented for the solution of the incompressible fluid flow equations using a Lagrangian formulation. The interpolation functions are those used in the meshless finite element method and the time integration is introduced in a semi-implicit way by a fractional step method. Classical stab...

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Bibliographic Details
Published in:Computers & structures Vol. 81; no. 8; pp. 655 - 671
Main Authors: Idelsohn, S.R., Oñate, E., Del Pin, F.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.05.2003
Subjects:
Finite element method
Fluid–structure interaction
Incompressible fluid flows
Lagrange formulations
Meshless methods
Particle methods
Finite element method
Fluid–structure interaction
Incompressible fluid flows
Particle methods
Meshless methods
Lagrange formulations
ISSN:0045-7949, 1879-2243
Online Access:Get full text
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Summary:A method is presented for the solution of the incompressible fluid flow equations using a Lagrangian formulation. The interpolation functions are those used in the meshless finite element method and the time integration is introduced in a semi-implicit way by a fractional step method. Classical stabilization terms used in the momentum equations are unnecessary due to the lack of convective terms in the Lagrangian formulation. Furthermore, the Lagrangian formulation simplifies the connections with fixed or moving solid structures, thus providing a very easy way to solve fluid–structure interaction problems.
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ISSN:0045-7949
1879-2243
DOI:10.1016/S0045-7949(02)00477-7