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A wavelet immersed boundary method for two-variable coupled fluid-structure interactions

Author

Listed:
  • He, Yanfei
  • Zhang, Xingwu
  • Zhang, Tao
  • Wang, Chenxi
  • Geng, Jia
  • Chen, Xuefeng

Abstract

In this paper, a wavelet immersed boundary (IB) method is proposed to solve fluid-structure interaction (FSI) problems with two-variable coupling, in which it is an interaction between fluid force and boundary deformation. This wavelet IB method is developed by introducing a wavelet finite element method to calculate the FSI force affected by the two-variable coupling. Furthermore, a boundary influence matrix and a series of B-spline wavelet delta functions are constructed to restrain the non-physical force oscillations. Finally, several FSI problems are simulated, which include flows past a fixed circular cylinder and a crosswise oscillating circular cylinder, as well as an in-line oscillating circular cylinder in a rest fluid. The numerical examples show that the new method is a simple and efficient method for two-variable coupled FSI problems.

Suggested Citation

  • He, Yanfei & Zhang, Xingwu & Zhang, Tao & Wang, Chenxi & Geng, Jia & Chen, Xuefeng, 2021. "A wavelet immersed boundary method for two-variable coupled fluid-structure interactions," Applied Mathematics and Computation, Elsevier, vol. 405(C).
  • Handle: RePEc:eee:apmaco:v:405:y:2021:i:c:s0096300321003337
    DOI: 10.1016/j.amc.2021.126243
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    References listed on IDEAS

    as
    1. Ghosh, Sudeshna & Kumar, Manish, 2020. "Study of drafting, kissing and tumbling process of two particles with different sizes using immersed boundary method in a confined medium," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 341-357.
    2. Ghosh, Sudeshna & Kumar, Manish, 2020. "Study of drafting, kissing and tumbling process of two particles with different sizes and densities using immersed boundary method in a confined medium," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    3. Lo, D.C. & Lee, C-P & Lin, I-F, 2018. "An efficient immersed boundary method for fluid flow simulations with moving boundaries," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 312-337.
    Full references (including those not matched with items on IDEAS)

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