A monolithic Lagrangian approach for fluid–structure interaction problems
By Pavel B. Ryzhakov, Riccardo Rossi, Sergio R. Idelsohn, Eugenio Oñate. 2010
184 citations recorded by the source corpus.
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.
Subfields: Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/0c493b582d64dccc78020f60849cf1a954e98c16
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Sergio R. Idelsohn
- Eugenio Oñate
- Riccardo Rossi
- Gene J. W. Hou
- Jin Wang
- Anita T. Layton
- Antonia Larese
- Issam K. J. al Kafaji
Citations in the corpus
- Numerical Methods for Fluid-Structure Interaction — A Review (2012, methodology): “The monolithic approach (Hubner et al. 2004, Michler et al. 2004, Ryzhakov et al. 2010) treats the fluid and structure dynamics in the same mathematical framework to form a single system equation for the entire problem, which is solved simultaneously by a unified algorithm.”
- A coupled PFEM–Eulerian approach for the solution of porous FSI problems (2012, background): “Just to mention some of them, it is used in FSI and coupled problems [22,24,31], multi-fluid problems [17], contact problems and geotechnical simulations [4,23] and fire engineering [16].”