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.