An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves
type: Item
instance of: scholarly article
title: An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves
zbMATH Open document ID: 1423.74273
author: David Kamensky
author: M.-C. Hsu
author: Dominik Schillinger
author: Ankush Aggarwal
author: Michael S. Sacks
author: J. A. Evans
author: Y. Bazilevs
author: T. J. R. Hughes
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2018-10-22T00:00:00Z
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 92C35
zbMATH DE Number: 6960570
zbMATH Keywords: fluid-structure interaction
zbMATH Keywords: bioprosthetic heart valve
zbMATH Keywords: immersogeometric analysis
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: Nitsche's method
zbMATH Keywords: weakly enforced boundary conditions
MaRDI profile type: Publication
full work available at URL: j.cma.2014.10.040
OpenAlex ID: W2009204009
Wikidata QID: Q27318279
cites work: Lagrangian-Eulerian finite element formulation for incompressible viscous flows
cites work: An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
cites work: A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests
cites work: Q1190683
cites work: A coupled momentum method for modeling blood flow in three-dimensional deformable arteries
cites work: Fluid-structure interaction modeling of blood flow and cerebral aneurysm: significance of artery and aneurysm shapes
cites work: Space-time and ALE-VMS techniques for patient-specific cardiovascular fluid-structure interaction modeling
cites work: Fluid-structure interaction simulations of the Fontan procedure using variable wall properties
cites work: Computer modeling of cardiovascular fluid-structure interactions with the deforming-spatial-domain/stabilized space-time formulation
cites work: Fluid-structure interaction modeling and performance analysis of the Orion spacecraft parachutes
cites work: Fluid-structure interaction modeling of parachute clusters
cites work: Space-time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters
cites work: Computational methods for parachute fluid-structure interactions
cites work: Space-time finite element techniques for computation of fluid-structure interactions
cites work: Interface projection techniques for fluid-structure interaction modeling with moving-mesh methods
cites work: Modelling of fluid–structure interactions with the space–time finite elements: Solution techniques
cites work: 3D simulation of wind turbine rotors at full scale. Part II: Fluid-structure interaction modeling with composite blades
cites work: Fluid-structure interaction modeling of wind turbines: simulating the full machine
cites work: Computational Fluid–Structure Interaction
cites work: Q4345488
cites work: Q5687027
cites work: 3D simulation of fluid-particle interactions with the number of particles reaching 100
cites work: Advanced mesh generation and update methods for 3D flow simulations
cites work: Modeling of fluid-structure interactions with the space-time finite elements: Contact problems
cites work: Space-time interface-tracking with topology change (ST-TC)
cites work: Space-time fluid mechanics computation of heart valve models
cites work: Immersed finite element method
cites work: A DLM/FD method for fluid/flexible-body interactions
cites work: An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction
cites work: On continuum immersed strategies for fluid-structure interaction
cites work: Fully Eulerian fluid-structure interaction for time-dependent problems
cites work: A fixed‐grid b‐spline finite element technique for fluid–structure interaction
cites work: The immersed boundary method
cites work: IMMERSED BOUNDARY METHODS
cites work: Sliding interfaces with contact-impact in large-scale Lagrangian computations
cites work: Computational Contact Mechanics
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Isogeometric fluid-structure interaction: Theory, algorithms, and computations
cites work: An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
cites work: Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method
cites work: Flow patterns around heart valves: A numerical method
cites work: Fluid-structure interaction, immersed boundary-finite element method simulations of bio-prosthetic heart valves
cites work: A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries
cites work: Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies
cites work: A fictitious domain/mortar element method for fluid-structure interaction
cites work: Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines
cites work: Nitsche’s method for general boundary conditions
cites work: Weak imposition of Dirichlet boundary conditions in fluid mechanics
cites work: Weak Dirichlet boundary conditions for wall-bounded turbulent flows
cites work: Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes

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cites work: Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method

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cites work: The variational multiscale method -- a paradigm for computational mechanics

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cites work: Large eddy simulation and the variational multiscale method

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: The role of continuity in residual-based variational multiscale modeling of turbulence

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cites work: Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows

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cites work: Isogeometric shell analysis with Kirchhoff-Love elements

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cites work: A large deformation frictional contact formulation using NURBS-based isogeometric analysis

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cites work: Patient-specific isogeometric structural analysis of aortic valve closure

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cites work: Q2550279

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cites work: Finite Element Methods with B-Splines

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cites work: ALE-VMS AND ST-VMS METHODS FOR COMPUTER MODELING OF WIND-TURBINE ROTOR AERODYNAMICS AND FLUID–STRUCTURE INTERACTION

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cites work: Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

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cites work: Stabilized Finite Element Formulations for Incompressible Flow Computations

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cites work: Finite element stabilization parameters computed from element matrices and vectors

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cites work: The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence

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cites work: Q3434972

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cites work: Improving stability of stabilized and multiscale formulations in flow simulations at small time steps

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cites work: Q3994952

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cites work: Q4531674

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cites work: Theory and practice of finite elements.

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements

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cites work: Space-time finite element computation of complex fluid-structure interactions

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cites work: Flapping and contact FSI computations with the fluid-solid interface-tracking/interface-capturing technique and mesh adaptivity

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cites work: Finite element modeling of blood in arteries

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cites work: Finite element computation of turbulent flows with the discontinuity-capturing directional dissipation (DCDD)

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cites work: Computation of inviscid compressible flows with the V‐SGS stabilization and YZβ shock‐capturing

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cites work: What are \(C\) and \(h\)?: Inequalities for the analysis and design of finite element methods

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cites work: Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements

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cites work: Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries

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cites work: Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device

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cites work: A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: Error-bounds for finite element method

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cites work: Q4105995

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: The discrete Babu?ka-Brezzi condition

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: The finite cell method for three-dimensional problems of solid mechanics

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: Q3773481

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cites work: A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: High-performance computing of wind turbine aerodynamics using isogeometric analysis

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cites work: An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries

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cites work: Control of vortex shedding behind circular cylinder for flows at low Reynolds numbers

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cites work: Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method.

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow.

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (cites work)
cites work: Experimental and numerical study of the separation angle for flow around a circular cylinder at low Reynolds number

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cites work: A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier-Stokes equations in time-varying complex geometries

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cites work: Subdivision-stabilised immersed b-spline finite elements for moving boundary flows

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cites work: A penalization method to take into account obstacles in incompressible viscous flows

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cites work: Interface-tracking and interface-capturing techniques for finite element computation of moving boundaries and interfaces

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cites work: The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition

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cites work: A fictitious domain approach for the Stokes problem based on the extended finite element method

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cites work: Multiplier and gradient methods

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cites work: Q5590418

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cites work: A Unified Approach for Uzawa Algorithms

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cites work: Path-following and augmented Lagrangian methods for contact problems in linear elasticity

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cites work: Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces

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cites work: A numerical method for solving incompressible viscous flow problems. Reprint

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cites work: Modeling a no-slip flow boundary with an external force field

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cites work: Secondary flow induced by riblets

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cites work: Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations

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cites work: The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches

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cites work: Nonlinear solid mechanics. A continuum approach for engineering

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cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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cites work: Methods of conjugate gradients for solving linear systems

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cites work: An enhanced Immersed structural potential method for fluid-structure interaction

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cites work: Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces

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cites work: Mesh Moving Techniques for Fluid-Structure Interactions With Large Displacements

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cites work: Automatic mesh update with the solid-extension mesh moving technique

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cites work: Isogeometric large deformation frictionless contact using T-splines

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cites work: A computational contact formulation based on surface potentials

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cites work: Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries

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cites work: Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations

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cites work: Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation

An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves (DOI)
DOI: 10.1016/J.CMA.2014.10.040

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