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

作者：Bukac Martina^*; Yotov Ivan; Zunino Paolo

来源：Numerical Methods for Partial Differential Equations, 2015, 31(4): 1054-1100.

DOI：10.1002/num.21936

• fluid-structure interaction
• loosely coupled scheme
• poroelasticity

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.

• 出版日期2015-7