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A Geometry-Adaptive Immersed Boundary–Lattice Boltzmann Method for Modelling Fluid–Structure Interaction Problems

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IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 34))

Abstract

The immersed boundary method has been extensively used in many areas. However, there are two typical challenges for modelling fluid-structure problems at moderate and high Reynolds numbers (e.g. \(10^3\)–\(10^5\)). One is the size of mesh at high Reynolds numbers when the standard immersed boundary method is applied. The other is the numerical instability associated with the partitioned coupling for fluid-structure interaction problems involving small structure-to-fluid mass ratios. To address the challenges, a novel computational framework which combines the lattice Boltzmann method and an improved immersed boundary method based on a dynamic geometry-adaptive Cartesian grid is presented. A few classic validations are conducted to demonstrate the accuracy of the current method.

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Acknowledgements

Mr L. Xu acknowledges the support of the University International Postgraduate Award by University of New South Wales. Dr. F.-B. Tian is the recipient of an Australian Research Council Discovery Early Career Researcher Award (project number DE160101098).

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Authors and Affiliations

  1. School of Engineering and Information Technology, University of New South Wales, Canberra, ACT, 2600, Australia

    Lincheng Xu, Li Wang, Fang-Bao Tian, John Young & Joseph C. S. Lai

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  1. Lincheng Xu
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  2. Li Wang
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  3. Fang-Bao Tian
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  5. Joseph C. S. Lai
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Correspondence to Fang-Bao Tian .

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Editors and Affiliations

  1. Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand

    Stefanie Gutschmidt

  2. Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand

    James N. Hewett

  3. Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand

    Mathieu Sellier

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Xu, L., Wang, L., Tian, FB., Young, J., Lai, J.C.S. (2019). A Geometry-Adaptive Immersed Boundary–Lattice Boltzmann Method for Modelling Fluid–Structure Interaction Problems. In: Gutschmidt, S., Hewett, J., Sellier, M. (eds) IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics. IUTAM Bookseries, vol 34. Springer, Cham. https://doi.org/10.1007/978-3-030-13720-5_14

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  • DOI: https://doi.org/10.1007/978-3-030-13720-5_14

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