An Operator Splitting Approach for the Interaction Between a Fluid and a Multilayered Poroelastic Structure

نویسندگان

  • Martina Bukač
  • Ivan Yotov
  • Paolo Zunino
چکیده

We develop a loosely coupled fluid-structure interaction finite element solver based on the Lie operator splitting scheme. The scheme is applied to the interaction between an incompressible, viscous, Newtonian fluid, and a multilayered structure, which consists of a thin elastic layer and a thick poroelastic material. The thin layer is modeled using the linearly elastic Koiter membrane model, while the thick poroelastic layer is modeled as a Biot system. We prove a conditional stability of the scheme and derive error estimates. Theoretical results are supported with numerical examples. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 000: 000–000, 2014

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تاریخ انتشار 2014