@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} }