A Stokes-residual backflow stabilization method applied to physiological flows
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Publication:2375070
DOI10.1016/j.jcp.2016.02.045zbMath1349.65436OpenAlexW2277276435MaRDI QIDQ2375070
Alfonso Caiazzo, Cristóbal Bertoglio
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.02.045
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Physiological flows (76Z05) Physiological flow (92C35)
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Cites Work
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- On the continuity of mean total normal stress in geometrical multiscale cardiovascular problems
- A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains
- A tangential regularization method for backflow stabilization in hemodynamics
- An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach
- On the physical consistency between three-dimensional and one-dimensional models in haemodynamics
- A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device
- Augmented Lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Computational haemodynamics in stenotic internal jugular veins
- An overview of projection methods for incompressible flows
- Fractional-Step Schemes for the Coupling of Distributed and Lumped Models in Hemodynamics
- A novel formulation for Neumann inflow boundary conditions in biomechanics
- Adaptive tetrahedral mesh generation by constrained Delaunay refinement
- Effective downstream boundary conditions for incompressible Navier–Stokes equations
- Numerical Treatment of Defective Boundary Conditions for the Navier--Stokes Equations
- Une méthode d'approximation de la solution des équations de Navier-Stokes
- On the Convergence of Discrete Approximations to the Navier-Stokes Equations
- New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result
- Coupling between lumped and distributed models for blood flow problems.