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We study the interaction between an incompressible, viscous, Newtonian fluidand a multilayered structure, which consists of a thin elastic layer and athick poroelastic material. The thin layer is modeled using the linearlyelastic Koiter membrane model, while the thick poroelastic layer is modeled asa Biot system. The objective of this work is to investigate how the poroelasticphenomena affect the characteristic features of blood flow in arteries, such aspropagation of pressure waves. We develop a loosely coupled fluid-structureinteraction finite element solver based on the Lie operator splitting scheme.We prove a conditional stability of the scheme and derive error estimates.Theoretical results are supported with numerical examples.

Explicit partitioning strategies for the interaction between a fluid and a multilayered poroelastic structure: an operator-splitting approach