APolygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems

作     者：Stefano Zonca Paola FAntonietti Christian Vergara 

作者机构：MOXDipartimento di MatematicaPolitecnico di MilanoItaly LABSDipartimento di ChimicaMateriali e Ingegneria Chimica“Giulio Natta”Politecnico di MilanoItaly 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2021年第30卷第6期

页      面：1-33页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

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 201744KLJL CV 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” 

主　　题：Polygonal Discontinuous Galerkin method fluid-structure interaction contact mechanics 

摘      要：In this work,we propose a formulation based on the Polygonal Discontinuous Galerkin(PolyDG)method for contact mechanics that arises in fluid-structure interaction *** particular,we introduce a consistent penalization approach to treat the frictionless contact between immersed structures that undergo large *** key feature of the method is that the contact condition can be naturally embedded in the PolyDG formulation,allowing to easily support polygonal/polyhedral *** 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 *** 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.