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 penal...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.展开更多
基金this work is partially funded by INDAM-GNCS.PFA and SZ have been partially funded by the Italian research project MIUR PRIN17,number 201744KLJLCV has been partially supported by the H2020-MSCA-ITN-2017,EU project 765374“ROMSOC-Reduced Order Modelling,Simulation and Optimization of Coupled systems”and by the Italian research project MIUR PRIN172017AXL54F“Modeling the heart across the scales:from cardiac cells to the whole organ”.
文摘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.
