A monolithic, ALE finite-element-based strategy for partially submerged solids in an incompressible fluid flow using the mortar method

This work presents a two-dimensional monolithic finite-element-based strategy for fluid–structure interaction problems involving hyperelastic solids floating in an incompressible fluid. This monolithic strategy is based on the Arbitrary Lagrangian–Eulerian (ALE) formulation for the fluid domain, and...

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Bibliographic Details
Published in:Journal of fluids and structures 2022-11, Vol.115, p.103780, Article 103780
Main Authors: Dutta, Suman, Agrawal, Manish, Jog, C.S.
Format: Article
Language:English
Subjects:
ALE
Floating body
Fluid–structure interaction
Monolithic formulation
Mortar method
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Summary:This work presents a two-dimensional monolithic finite-element-based strategy for fluid–structure interaction problems involving hyperelastic solids floating in an incompressible fluid. This monolithic strategy is based on the Arbitrary Lagrangian–Eulerian (ALE) formulation for the fluid domain, and the Lagrangian framework for the solid domain. The flexibility of the ALE technique permits us to treat the free surface of the fluid as a Lagrangian entity. The continuity requirements at the fluid–structure interface have been satisfied in a weak sense using the mortar method. The use of a monolithic strategy gives an robust and stable algorithm, and allows the user to take large time steps. The consistent linearization ensures a quadratic rate of convergence of the non-linear iterations at each time step. The robustness and accuracy of the proposed method are demonstrated by solving benchmark problems from the literature.
ISSN:0889-9746
1095-8622
DOI:10.1016/j.jfluidstructs.2022.103780