Stabilization approaches for the hyperelastic immersed boundary method for problems of large-deformation incompressible elasticity
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Publication:2184295
DOI10.1016/j.cma.2020.112978zbMath1442.74035arXiv1811.06620OpenAlexW3017333764WikidataQ96128142 ScholiaQ96128142MaRDI QIDQ2184295
Boyce E. Griffith, Neelesh A. Patankar, Ben Vadala-Roth, Simone Rossi, Shashank Acharya
Publication date: 28 May 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.06620
fluid-structure interactionimmersed boundary methodincompressible elasticityvolumetric stabilization
Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55)
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Uses Software
Cites Work
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- An immersed boundary method for rigid bodies
- An immersed boundary energy-based method for incompressible viscoelasticity
- The Immersed Structural Potential Method for haemodynamic applications
- An immersed boundary method with divergence-free velocity interpolation and force spreading
- Variational implementation of immersed finite element methods
- A parallelized meshfree method with boundary enrichment for large-scale CFD
- Immersed finite element method
- Extended immersed boundary method using FEM and RKPM
- An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner
- Mechanical response of fiber-reinforced incompressible non-linearly elastic solids
- An adaptive, formally second order accurate version of the immersed boundary method
- On computational issues of immersed finite element methods
- On the hyperelastic formulation of the immersed boundary method
- Mathematical foundations of the immersed finite element method
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation
- Improved volume conservation in the computation of flows with immersed elastic boundaries
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- Numerical analysis of blood flow in the heart
- Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation.
- A computational framework for polyconvex large strain elasticity
- Transversely isotropic biological, soft tissue must be modelled using both anisotropic invariants
- Flexible piecewise approximations based on partition of unity
- A stabilized formulation for incompressible elasticity using linear displacement and pressure interpolations.
- A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation
- Benchmarking the immersed finite element method for fluid-structure interaction problems
- Non-body-fitted fluid-structure interaction: divergence-conforming B-splines, fully-implicit dynamics, and variational formulation
- A framework for residual-based stabilization of incompressible finite elasticity: stabilized formulations and \(\overline F\) methods for linear triangles and tetrahedra
- On the physical assumptions underlying the volumetric-isochoric split and the case of anisotropy
- Flow patterns around heart valves: A numerical method
- Hierarchical enrichment for bridging scales and mesh-free boundary conditions
- Finite Elements and Fast Iterative Solvers
- Immersed Methods for Fluid–Structure Interaction
- The immersed boundary method
- Constitutive modelling of passive myocardium: a structurally based framework for material characterization
- A new stabilization technique for finite elements in non-linear elasticity
- Element‐free Galerkin methods
- Convergence analysis of a hierarchical enrichment of Dirichlet boundary conditions in a mesh-free method
- On the Volume Conservation of the Immersed Boundary Method
- Reproducing kernel particle methods
- Volumetric locking in the element free Galerkin method
- Augmenting the immersed boundary method with Radial Basis Functions (RBFs) for the modeling of platelets in hemodynamic flows
- Nonlinear Continuum Mechanics for Finite Element Analysis
- A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane
- A minimal stabilisation procedure for mixed finite element methods
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