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An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure
Author(s) -
Bukač Martina,
Yotov Ivan,
Zunino Paolo
Publication year - 2015
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21936
Subject(s) - poromechanics , biot number , compressibility , mathematics , solver , mathematical analysis , newtonian fluid , fluid–structure interaction , finite element method , operator (biology) , stability (learning theory) , porous medium , mechanics , porosity , physics , mathematical optimization , materials science , computer science , chemistry , thermodynamics , biochemistry , repressor , machine learning , gene , transcription factor , composite material
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 31: 1054–1100, 2015