A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems
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Publication:5163912
DOI10.4208/cicp.OA-2020-0079zbMath1473.65227OpenAlexW3179881989MaRDI QIDQ5163912
Stefano Zonca, Christian Vergara, Paola Francesca Antonietti
Publication date: 9 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2020-0079
Contact in solid mechanics (74M15) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (4)
Geometric re-meshing strategies to simulate contactless rebounds of elastic solids in fluids ⋮ Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes ⋮ Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems ⋮ On mathematical and numerical modelling of multiphysics wave propagation with polytopal discontinuous Galerkin methods: a review
Cites Work
- Unnamed Item
- Discrete models for fluid-structure interactions: the finite element immersed boundary method
- Numerical methods for fluid-structure interaction models of aortic valves
- On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
- Discontinuous Galerkin methods with nodal and hybrid modal/nodal triangular, quadrilateral, and polygonal elements for nonlinear shallow water flow
- The influence of boundary conditions on the contact problem in a 3D Navier-Stokes flow
- A DLM/FD method for fluid/flexible-body interactions
- Bubble stabilization of discontinuous Galerkin methods
- A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations
- Modeling of fluid-structure interactions with the space-time finite elements: Contact problems
- Regularity issues in the problem of fluid-structure interaction
- A Nitsche-based cut finite element method for a fluid-structure interaction problem
- 3D fluid-structure-contact interaction based on a combined XFEM FSI and dual mortar contact approach
- Fluid-structure interaction and multi-body contact: application to aortic valves
- A Dirichlet-Neumann type algorithm for contact problems with friction.
- Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods
- An unbiased Nitsche's approximation of the frictional contact between two elastic structures
- An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes
- A hybrid high-order method for the steady incompressible Navier-Stokes problem
- On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations
- Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity
- An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
- On convergence of the penalty method for unilateral contact problems
- High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes
- Galerkin least squares finite element method for the obstacle problem
- An unbiased Nitsche's formulation of large deformation frictional contact and self-contact
- A hybrid high-order method for the incompressible Navier-Stokes equations based on Temam's device
- The Stokes complex for virtual elements with application to Navier-Stokes flows
- Hybridization of mixed high-order methods on general meshes and application to the Stokes equations
- High order unfitted finite element methods on level set domains using isoparametric mappings
- Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures
- Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids
- Fluid-structure interaction, immersed boundary-finite element method simulations of bio-prosthetic heart valves
- Improved robustness and consistency of 3D contact algorithms based on a dual mortar approach
- A primal--dual active set strategy for nonlinear multibody contact problems
- A fluid-structure interaction method with solid-rigid contact for heart valve dynamics
- Flow patterns around heart valves: A numerical method
- A mortar segment-to-segment frictional contact method for large deformations
- An overview of recent results on Nitsche's method for contact problems
- An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction
- A partitioned fluid-structure algorithm for elastic thin valves with contact
- hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
- A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis
- Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions
- Variationally consistent discretization schemes and numerical algorithms for contact problems
- An Unfitted Formulation for the Interaction of an Incompressible Fluid with a Thick Structure via an XFEM/DG Approach
- Solving Ordinary Differential Equations I
- Contact in a viscous fluid. Part 1. A falling wedge
- Contact in a viscous fluid. Part 2. A compressible fluid and an elastic solid
- Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
- A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction
- An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions
- Efficient simulation of multi-body contact problems on complex geometries: A flexible decomposition approach using constrained minimization
- Collisions in Three-Dimensional Fluid Structure Interaction Problems
- Monotone Multigrid Methods on Nonmatching Grids for Nonlinear Multibody Contact Problems
- A Loosely Coupled Scheme for Fictitious Domain Approximations of Fluid-Structure Interaction Problems with Immersed Thin-Walled Structures
- Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
- Semidiscrete Finite Element Approximations of a Linear Fluid-Structure Interaction Problem
- A Nitsche-based formulation for fluid-structure interactions with contact
- A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity
- AMultirateApproachforFluid-StructureInteraction Computation with Decoupled Methods
- Augmented Lagrangian finite element methods for contact problems
- High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces
- Modelling of fluid–structure interactions with the space–time finite elements: Solution techniques
- $hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows
- hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
- The NonConforming Virtual Element Method for the Stokes Equations
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