TY - JOUR
T1 - A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems
AU - Zonca , Stefano
AU - F. Antonietti , Paola
AU - Vergara , Christian
JO - Communications in Computational Physics
VL - 1
SP - 1
EP - 33
PY - 2021
DA - 2021/04
SN - 30
DO - http://doi.org/10.4208/cicp.OA-2020-0079
UR - https://global-sci.org/intro/article_detail/cicp/18872.html
KW - Polygonal Discontinuous Galerkin method, fluid-structure interaction, contact mechanics.
AB - <p style="text-align: justify;">In this work, we propose a formulation based on the Polygonal Discontinuous Galerkin (PolyDG) method for contact mechanics that arises in fluid-structure interaction problems. In particular, we introduce a consistent penalization approach to
treat the frictionless contact between immersed structures that undergo large displacements. The key feature of the method is that the contact condition can be naturally
embedded in the PolyDG formulation, allowing to easily support polygonal/polyhedral meshes. The proposed approach introduced a fixed background mesh for the
fluid problem overlapped by the structure grid that is able to move independently of
the fluid one. To assess the validity of the proposed approach, we report the results of
several numerical experiments obtained in the case of contact between flexible structures immersed in a fluid.</p>