Numerical Approximation of Viscoelastic Fluid-Structure Interaction Problems

Numerical Approximation of Viscoelastic Fluid-Structure Interaction Problems

Year:    2018

Author:    Hyesuk Lee, Shuhan Xu

International Journal of Numerical Analysis and Modeling, Vol. 15 (2018), Iss. 4-5 : pp. 579–593

Abstract

We consider a fluid-structure interaction (FSI) problem that consists of a viscoelastic fluid flow and a linear elastic structure. The system is formulated as (i) a monolithic problem, where the matching conditions at the moving interface are satisfied implicitly, and (ii) a partitioned problem, where the fluid and structure subproblems are coupled by Robin-type boundary conditions along the interface. Numerical algorithms are designed based on the Arbitrary Lagrangian-Eulerian (ALE) formulation for the time-dependent fluid domain. We perform numerical experiments to compare monolithic and partitioned schemes and study the effect of stress boundary conditions on the inflow portion of moving interface.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2018-IJNAM-12532

International Journal of Numerical Analysis and Modeling, Vol. 15 (2018), Iss. 4-5 : pp. 579–593

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Fluid-structure interaction viscoelastic fluid.

Author Details

Hyesuk Lee

Shuhan Xu