A monolithic Lagrangian approach for fluid–structure interaction problems

Current work presents a monolithic method for the solution of fluid–structure interaction problems involving flexible structures and free-surface flows. The technique presented is based upon the utilization of a Lagrangian description for both the fluid and the structure. A linear displacement–press...

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Bibliographic Details
Published inComputational mechanics Vol. 46; no. 6; pp. 883 - 899
Main Authors Ryzhakov, P. B., Rossi, R., Idelsohn, S. R., Oñate, E.
Format Journal Article Publication
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.11.2010
Springer
Springer Nature B.V
Subjects
CFD
Classical and Continuum Physics
Compressibility
Computational fluid dynamics
Computational Science and Engineering
Displacement
Elements finits, Mètode dels
Engineering
Enginyeria mecànica
Finite element method
Flexible structures
Fluid flow
Fluid-structure interaction
Fluids
Free surfaces
Interacció fluid-estructura
Interpolation
Lagrangian fluids
Linear systems
Mathematical analysis
Mathematical models
Matrix methods
Mecànica de fluids
Monolithic FSI
Original Paper
PFEM
Theoretical and Applied Mechanics
Àrees temàtiques de la UPC
CFD
Fluid–structure interaction
PFEM
Monolithic FSI
Lagrangian fluids
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Summary:Current work presents a monolithic method for the solution of fluid–structure interaction problems involving flexible structures and free-surface flows. The technique presented is based upon the utilization of a Lagrangian description for both the fluid and the structure. A linear displacement–pressure interpolation pair is used for the fluid whereas the structure utilizes a standard displacement-based formulation. A slight fluid compressibility is assumed that allows to relate the mechanical pressure to the local volume variation. The method described features a global pressure condensation which in turn enables the definition of a purely displacement-based linear system of equations. A matrix-free technique is used for the solution of such linear system, leading to an efficient implementation. The result is a robust method which allows dealing with FSI problems involving arbitrary variations in the shape of the fluid domain. The method is completely free of spurious added-mass effects.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-010-0522-0