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Volume 15, Issue 4-5
Numerical Approximation of Viscoelastic Fluid-Structure Interaction Problems

Hyesuk Lee & Shuhan Xu

Int. J. Numer. Anal. Mod., 15 (2018), pp. 579-593.

Published online: 2018-04

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  • 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.

  • Keywords

Fluid-structure interaction, viscoelastic fluid.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

hklee@clemson.edu (Hyesuk Lee)

shuhanx@g.clemson.edu (Shuhan Xu)

  • BibTex
  • RIS
  • TXT
@Article{IJNAM-15-579, author = {Lee , Hyesuk and Xu , Shuhan}, title = {Numerical Approximation of Viscoelastic Fluid-Structure Interaction Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {15}, number = {4-5}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/12532.html} }
TY - JOUR T1 - Numerical Approximation of Viscoelastic Fluid-Structure Interaction Problems AU - Lee , Hyesuk AU - Xu , Shuhan JO - International Journal of Numerical Analysis and Modeling VL - 4-5 SP - 579 EP - 593 PY - 2018 DA - 2018/04 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/12532.html KW - Fluid-structure interaction, viscoelastic fluid. AB -

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.

Lee , Hyesuk and Xu , Shuhan. (2018). Numerical Approximation of Viscoelastic Fluid-Structure Interaction Problems. International Journal of Numerical Analysis and Modeling. 15 (4-5). 579-593. doi:
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