An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure

Bukač, Martina; Yotov, Ivan; Zunino, Paolo

doi:10.1002/num.21936

Title: An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure

Journal Article · Fri Nov 28 00:00:00 EST 2014 · Numerical Methods for Partial Differential Equations

DOI:https://doi.org/10.1002/num.21936· OSTI ID:1400891

Bukač, Martina ^[1]; Yotov, Ivan ^[1]; Zunino, Paolo ^[2]

Department of Mathematics University of Pittsburgh Pittsburgh Pennsylvania 15260
Department of Mechanical Engineering &, Materials Science University of Pittsburgh Pittsburgh Pennsylvania 15261

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

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Sponsoring Organization:: USDOE

Grant/Contract Number:: DE‐FG02‐04ER25618

OSTI ID:: 1400891

Journal Information:: Numerical Methods for Partial Differential Equations, Journal Name: Numerical Methods for Partial Differential Equations Vol. 31 Journal Issue: 4; ISSN 0749-159X

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 42 works

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