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Multi-phase fluid–structure interaction using adaptive mesh refinement and immersed boundary method

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Abstract

In the present work, the authors aim to solve incompressible fluid–structure interaction problems in multi-phase flows using the partitioned approach with an in-house three-dimensional, block-structured, adaptive mesh refinement (AMR) code called MFSim. A projection method for large eddy simulation (LES) of Navier–Stokes equations and a VOF-PLIC (volume of fluid - piecewise linear interface calculation) method with finite volume discretization is used to simulate the turbulent incompressible multi-phase flows. The solid structures, immersed in the flow, have the fluid-dynamic forces modeled with the immersed boundary method and displacements calculated using the finite element model based on the Mindlin–Reissner plate theory. In the partitioned algorithm, fluid dynamic forces acting on the immersed surface are applied to the finite element model to predict the structure’s displacements and velocities at each time step. Strong coupling between fluid and structure was implemented and the advantages and drawbacks of multi-direct forcing algorithm for these situations are emphasized. A series of numerical Pluck tests were conducted to validate the fluid-dynamic forces calculation and structural responses of plates in multi-phase flows. The results were compared with experiments published in the literature, and good agreement was obtained.

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Acknowledgements

The authors are thankful for the financial support provided to the present research effort by CNPq (306200/2017-1, 431337/2018-7, 305958/2020-8, and 431337/2018-7), FAPEMIG (PPM-00187-18), CAPES through the INCTEIE, and PETROBRAS (2018/00082-0, 2018/00419-5, 2019/00056-2, and 2019/00106-0).

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Authors and Affiliations

  1. Federal University of Uberlândia, Av. João Naves de Ávila, 2121, Sta. Mônica, Uberlândia, MG, Brazil

    Pedro Ricardo C. Souza, Hélio Ribeiro Neto, Millena Martins Villar, João Marcelo Vedovotto, Aldemir Ap Cavalini Jr & Aristeu Silveira Neto

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  1. Pedro Ricardo C. Souza
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  2. Hélio Ribeiro Neto
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  3. Millena Martins Villar
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  5. Aldemir Ap Cavalini Jr
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  6. Aristeu Silveira Neto
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Correspondence to Aldemir Ap Cavalini Jr.

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Souza, P.R.C., Neto, H.R., Villar, M.M. et al. Multi-phase fluid–structure interaction using adaptive mesh refinement and immersed boundary method. J Braz. Soc. Mech. Sci. Eng. 44, 152 (2022). https://doi.org/10.1007/s40430-022-03417-x

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