Coupled systems mechanics

  • 제1권1호
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  • Pages.99-113
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  • 2012
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  • 2234-2184(pISSN)
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  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
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DOI QR Code

Algorithm for solving fluid-structure interaction problem on a global moving mesh

  • Sy, Soyibou (Laboratoire de Mathematiques, Informatique et Applications, Universite de Haute Alsace) ;
  • Murea, Cornel Marius (Laboratoire de Mathematiques, Informatique et Applications, Universite de Haute Alsace)
  • 투고 : 2011.10.14
  • 심사 : 2012.03.13
  • 발행 : 2012.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

We present a monolithic semi-implicit algorithm for solving fluid-structure interaction problem at small structural displacements. The algorithm uses one global mesh for the fluid-structure domain obtained by gluing the fluid and structure meshes which are matching on the interface. The continuity of velocity at the interface is automatically satisfied and the continuity of stress does not appear explicitly in the global weak form due to the action and reaction principle. At each time step, we have to solve a monolithic system of unknowns velocity and pressure defined on the global fluid-structure domain. Numerical results are presented.

키워드

참고문헌

  1. Badia, S., Quaini, A. and Quarteroni, A. (2008a), "Splitting methods based on algebraic factorization for fluidstructure interaction", SIAM J. Sci. Comput., 30(4), 1778-1805. https://doi.org/10.1137/070680497
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  9. Murea, C.M. (2008), "A semi-implicit algorithm based on the Augmented Lagrangian Method for fluid-structure interaction", Num. Math. Adv. App, Proceedings of the ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007, Springer, 555-562.
  10. Murea, C.M. and Sy, S. (2009), "A fast method for solving fluid-structure interaction problem numerically", Int. J. Numer. Meth. Fl, 60(10), 1149-1172. https://doi.org/10.1002/fld.1931
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  12. Tezduyar, T., Sathe, S., Keedy, R. and Stein, K. (2006), "Space-time finite element techniques for computation of fluidstructure interactions", Comput. Meth. Appl. Mech., 195(17-18), 2002-2027. https://doi.org/10.1016/j.cma.2004.09.014
  13. Quaini, A. and Quarteroni, A. (2007), "A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method", Math. Mod. Meth. Appl. S., 17(6), 957-983. https://doi.org/10.1142/S0218202507002170
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피인용 문헌

  1. Strongly coupling partitioned scheme for enhanced added mass computation in 2D fluid-structure interaction vol.5, pp.3, 2012, https://doi.org/10.12989/csm.2016.5.3.235
  2. Three-Dimensional Simulation of Fluid-Structure Interaction Problems Using Monolithic Semi-Implicit Algorithm vol.4, pp.2, 2019, https://doi.org/10.3390/fluids4020094