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

Dutta, S and Agrawal, M and Jog, CS (2022) A monolithic, ALE finite-element-based strategy for partially submerged solids in an incompressible fluid flow using the mortar method. In: Journal of Fluids and Structures, 115 .

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Abstract

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.

Item Type:	Journal Article
Publication:	Journal of Fluids and Structures
Publisher:	Academic Press
Additional Information:	The copyright for this article belongs to Academic Press.
Keywords:	Body fluids; Finite element method; Flow of fluids; Mortar, Arbitrary Lagrangian Eulerian; Element-based; Floating bodies; Fluid-structure interaction; Incompressible fluid flow; Monolithic formulation; Monolithics; Mortar methods; Time step; Two-dimensional, Lagrange multipliers
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	03 Jan 2023 05:03
Last Modified:	03 Jan 2023 05:03
URI:	https://eprints.iisc.ac.in/id/eprint/78666

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