Benchmarking the immersed finite element method for fluid-structure interaction problems

DOI10.1016/j.camwa.2015.03.012zbMath1443.65221arXiv1306.0936OpenAlexW1995920568MaRDI QIDQ2006126

Luca Heltai, Saswati Roy, Francesco Costanzo

Publication date: 8 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0936

zbMATH Keywords

fluid-structure interactionimmersed boundary methodsimmersed finite element methodfinite element immersed boundary methodfluid-structure interaction benchmarking

Mathematics Subject Classification ID

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 (13)

A hybridizable discontinuous Galerkin method for modeling fluid-structure interaction ⋮ Stabilization approaches for the hyperelastic immersed boundary method for problems of large-deformation incompressible elasticity ⋮ A nodal immersed finite element-finite difference method ⋮ An interface preserving and residual-based adaptivity for phase-field modeling of fully Eulerian fluid-structure interaction ⋮ A sharp interface Lagrangian-Eulerian method for flexible-body fluid-structure interaction ⋮ Higher-order time-stepping schemes for fluid-structure interaction problems ⋮ An immersed boundary method for fluid-structure interaction based on variational transfer ⋮ Numerical methods for immersed FSI with thin-walled structures ⋮ An Improved Formulation for Hybridizable Discontinuous Galerkin Fluid-Structure Interaction Modeling with Reduced Computational Expense ⋮ Error estimates in weighted Sobolev norms for finite element immersed interface methods ⋮ Projection-based reduced order models for a cut finite element method in parametrized domains ⋮ Representing implicit surfaces satisfying Lipschitz conditions by 4-dimensional point sets ⋮ Non-body-fitted fluid-structure interaction: divergence-conforming B-splines, fully-implicit dynamics, and variational formulation

Uses Software

• UMFPACK
• deal.ii

Cites Work

• Variational implementation of immersed finite element methods
• Immersed finite element method
• Extended immersed boundary method using FEM and RKPM
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• On the hyperelastic formulation of the immersed boundary method
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• Immersed Boundary Method for Variable Viscosity and Variable Density Problems Using Fast Constant-Coefficient Linear Solvers II: Theory
• Effect of finite boundaries on the Stokes resistance of an arbitrary particle
• The immersed boundary method
• Proposal for Numerical Benchmarking of Fluid-Structure Interaction between an Elastic Object and Laminar Incompressible Flow
• deal.II—A general-purpose object-oriented finite element library
• Mixed and Hybrid Finite Element Methods
• On the Volume Conservation of the Immersed Boundary Method
• Algorithm 832
• The behaviour of freely falling cylinders and cones in a viscous fluid
• Unnamed Item

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