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A coupled FDM–FEM method for free surface flow interaction with thin elastic plate

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Abstract

A partitioned approach by the coupling finite difference method (FDM) and the finite element method (FEM) is developed for simulating the interaction between free surface flow and a thin elastic plate. The FDM, in which the constraint interpolation profile method is applied, is used for solving the flow field in a regular fixed Cartesian grid, and the tangent of the hyperbola for interface capturing with the slope weighting scheme is used for capturing free surface. The FEM is used for solving structural deformation of the thin plate. A conservative momentum-exchange method, based on the immersed boundary method, is adopted to couple the FDM and the FEM. Background grid resolution of the thin plate in a regular fixed Cartesian grid is important to the computational accuracy by using this method. A virtual structure method is proposed to improve the background grid resolution of the thin plate. Both of the flow solver and the structural solver are carefully tested and extensive validations of the coupled FDM–FEM method are carried out on a benchmark experiment, a rolling tank sloshing with a thin elastic plate.

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Acknowledgments

The authors thank Prof. Masashi Kashiwagi of Osaka University and Prof. Xian Chen of Yamaguchi University for their valuable discussions, comments and support. The authors are also grateful to thank Class NK for providing the experimental data used in Sect. 2. This research was partially supported by Grants-in Aid for Scientific Research (B), MEXT (No. 21360433).

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Authors and Affiliations

  1. Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, 6-1 Kasuga-koen, Kasuga, Fukuoka, 816-8580, Japan

    Kangping Liao

  2. Research Institute for Applied Mechanics, Kyushu University, 6-1 Kasuga-koen, Kasuga, Fukuoka, 816-8580, Japan

    Changhong Hu

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  1. Kangping Liao
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Correspondence to Changhong Hu.

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Liao, K., Hu, C. A coupled FDM–FEM method for free surface flow interaction with thin elastic plate. J Mar Sci Technol 18, 1–11 (2013). https://doi.org/10.1007/s00773-012-0191-0

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  • DOI: https://doi.org/10.1007/s00773-012-0191-0

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