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Volume 30, Issue 1
A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems

Stefano Zonca, Paola F. Antonietti & Christian Vergara

DOI: 10.4208/cicp.OA-2020-0079

Commun. Comput. Phys., 30 (2021), pp. 1-33.

Published online: 2021-04

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  • Abstract

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.

  • Keywords

Polygonal Discontinuous Galerkin method, fluid-structure interaction, contact mechanics.

  • AMS Subject Headings

65M60, 75F10, 74M15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-30-1, author = {Zonca , StefanoF. Antonietti , Paola and Vergara , Christian}, title = {A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems}, journal = {Communications in Computational Physics}, year = {2021}, volume = {30}, number = {1}, pages = {1--33}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2020-0079}, url = {http://global-sci.org/intro/article_detail/cicp/18872.html} }
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 -

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.

Zonca , StefanoF. Antonietti , Paola and Vergara , Christian. (2021). A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems. Communications in Computational Physics. 30 (1). 1-33. doi:10.4208/cicp.OA-2020-0079
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