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A staggered procedure for fluid–object interaction with free surfaces, large rotations and driven by adaptive time stepping

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Abstract

The coupling between a rigid body under large rotations and incompressible fluids is investigated within the arbitrary Lagrangian–Eulerian framework. We use here a staggered type of coupling with a predictor/corrector approach for the forces applied to the rigid body. Adaptive time stepping based on feedback control theory imposing a CFL condition on the mesh is investigated. The coupling scheme is first tested on a case illustrating vortex-induced vibrations around a rotating plate. We show the advantages of using the residual-based variational multiscale method for the fluid in the present context. Also, the time-step control and the role of the parameters introduced for the predictor/corrector approach are illustrated using the same test case. A reduced model FPSO ship is then studied, comparing its pitch decay with experimental results. A complex wave–rigid body interaction calculation is finally presented. Results demonstrated the robustness of the predictor/corrector staggered approach with adaptive time-step control for simulating complex interactions of a rigid body under large rotations and free-surface flows.

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Acknowledgements

This work is partially supported by CAPES, CNPq and FAPERJ. EdgeCFD has been developed in the High Performance Computing Center of COPPE/Federal University of Rio de Janeiro for Petrobras S.A.

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Authors and Affiliations

  1. Mechanical Engineering Department, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

    Thomas Miras & Fernando A. Rochinha

  2. High Performance Computing Center, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

    José J. Camata

  3. Civil Engineering Department, COPPE/Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

    Renato N. Elias, José L. D. Alves & Alvaro L. G. A. Coutinho

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  1. Thomas Miras
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  2. José J. Camata
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Correspondence to Fernando A. Rochinha.

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Miras, T., Camata, J.J., Elias, R.N. et al. A staggered procedure for fluid–object interaction with free surfaces, large rotations and driven by adaptive time stepping. J Braz. Soc. Mech. Sci. Eng. 40, 239 (2018). https://doi.org/10.1007/s40430-018-1147-z

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