Numerical simulation of blood flows through a porous interface
ESAIM: M2AN, 42 6 (2008) 961-990
Published online: 2008-08-12
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
163 (2025)
https://doi.org/10.1007/978-3-032-02299-8_6
A reduced 3D-0D fluid–structure interaction model of the aortic valve that includes leaflet curvature
Ivan Fumagalli, Luca Dede’ and Alfio QuarteroniBiomechanics and Modeling in Mechanobiology 24 (4) 1169 (2025)
https://doi.org/10.1007/s10237-025-01960-9
Image-based computational hemodynamics in the right heart
Francesca Renzi, Giovanni Puppini, Giovanni B. Luciani and Christian VergaraBiomechanics and Modeling in Mechanobiology 24 (4) 1223 (2025)
https://doi.org/10.1007/s10237-025-01963-6
Stable across regimes: A mixed DG method for Darcy–Brinkman–Stokes type flows
Benjamin Terschanski, Robert Klöfkorn, Andreas Dedner and Julia KowalskiComputer Methods in Applied Mechanics and Engineering 442 117962 (2025)
https://doi.org/10.1016/j.cma.2025.117962
Computational modeling of cardiac hemodynamics including chordae tendineae, papillaries, and valves dynamics
Lorenzo Bennati, Andrea Crispino and Christian VergaraComputers in Biology and Medicine 186 109658 (2025)
https://doi.org/10.1016/j.compbiomed.2025.109658
Accurate Reconstruction of Right Heart Shape and Motion From Cine‐MRI for Image‐Driven Computational Hemodynamics
Francesca Renzi, Christian Vergara, Marco Fedele, Vincenzo Giambruno, Alfio Quarteroni, Giovanni Puppini and Giovanni Battista LucianiInternational Journal for Numerical Methods in Biomedical Engineering 41 (1) (2025)
https://doi.org/10.1002/cnm.3891
MHD tri‐hybrid nanofluid blood flow in a porous cylinder: Insights from fractional relaxation modeling with thermal radiation and slip velocity boundary condition
Mohamed Omama, Ayman A. Arafa, Ahmed Elsaid and Waheed K. ZahraZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 105 (1) (2025)
https://doi.org/10.1002/zamm.202400375
A monolithic finite element method for phase-field modeling of fully Eulerian fluid–structure interaction
Navid Valizadeh, Xiaoying Zhuang and Timon RabczukComputer Methods in Applied Mechanics and Engineering 435 117618 (2025)
https://doi.org/10.1016/j.cma.2024.117618
Hydrodynamics of multicomponent vesicles: A phase-field approach
Zuowei Wen, Navid Valizadeh, Timon Rabczuk and Xiaoying ZhuangComputer Methods in Applied Mechanics and Engineering 432 117390 (2024)
https://doi.org/10.1016/j.cma.2024.117390
(2024)
https://doi.org/10.1101/2024.05.21.595150
Computational haemodynamics for pulmonary valve replacement by means of a reduced fluid‐structure interaction model
Elisabetta Criseo, Ivan Fumagalli, Alfio Quarteroni, Stefano Maria Marianeschi and Christian VergaraInternational Journal for Numerical Methods in Biomedical Engineering 40 (9) (2024)
https://doi.org/10.1002/cnm.3846
347 (2024)
https://doi.org/10.1016/B978-0-323-95484-6.00017-8
An electromechanics-driven fluid dynamics model for the simulation of the whole human heart
Alberto Zingaro, Michele Bucelli, Roberto Piersanti, Francesco Regazzoni, Luca Dede' and Alfio QuarteroniJournal of Computational Physics 504 112885 (2024)
https://doi.org/10.1016/j.jcp.2024.112885
Asymptotically Proved Numerical Coupling of a 2D Flexural Porous Plate with the 3D Stokes Fluid
Maxime Krier, Julia Orlik, Grigory Panasenko and Konrad SteinerMultiscale Modeling & Simulation 22 (4) 1608 (2024)
https://doi.org/10.1137/23M1627687
Image-Based Computational Fluid Dynamics to Compare Two Repair Techniques for Mitral Valve Prolapse
Lorenzo Bennati, Giovanni Puppini, Vincenzo Giambruno, Giovanni Battista Luciani and Christian VergaraAnnals of Biomedical Engineering 52 (12) 3295 (2024)
https://doi.org/10.1007/s10439-024-03597-8
Current progress toward isogeometric modeling of the heart biophysics
Michele Torre, Simone Morganti, Francesco S. Pasqualini and Alessandro RealiBiophysics Reviews 4 (4) (2023)
https://doi.org/10.1063/5.0152690
Turbulent blood dynamics in the left heart in the presence of mitral regurgitation: a computational study based on multi-series cine-MRI
Lorenzo Bennati, Vincenzo Giambruno, Francesca Renzi, Venanzio Di Nicola, Caterina Maffeis, Giovanni Puppini, Giovanni Battista Luciani and Christian VergaraBiomechanics and Modeling in Mechanobiology 22 (6) 1829 (2023)
https://doi.org/10.1007/s10237-023-01735-0
Solvability of a fluid-structure interaction problem with semigroup theory
Maxime Krier and Julia OrlikAIMS Mathematics 8 (12) 29490 (2023)
https://doi.org/10.3934/math.20231510
Modeling isovolumetric phases in cardiac flows by an Augmented Resistive Immersed Implicit Surface method
Alberto Zingaro, Michele Bucelli, Ivan Fumagalli, Luca Dede' and Alfio QuarteroniInternational Journal for Numerical Methods in Biomedical Engineering 39 (12) (2023)
https://doi.org/10.1002/cnm.3767
(2023)
https://doi.org/10.1101/2023.12.22.572827
(2023)
https://doi.org/10.1101/2023.03.19.533094
An Image-Based Computational Fluid Dynamics Study of Mitral Regurgitation in Presence of Prolapse
Lorenzo Bennati, Christian Vergara, Vincenzo Giambruno, Ivan Fumagalli, Antonio Francesco Corno, Alfio Quarteroni, Giovanni Puppini and Giovanni Battista LucianiCardiovascular Engineering and Technology 14 (3) 457 (2023)
https://doi.org/10.1007/s13239-023-00665-3
(2023)
https://doi.org/10.1101/2023.06.28.546872
Image-Based Computational Hemodynamics Analysis of Systolic Obstruction in Hypertrophic Cardiomyopathy
Ivan Fumagalli, Piermario Vitullo, Christian Vergara, et al.Frontiers in Physiology 12 (2022)
https://doi.org/10.3389/fphys.2021.787082
On the incorporation of obstacles in a fluid flow problem using a Navier–Stokes–Brinkman penalization approach
Jana Fuchsberger, Philipp Aigner, Steven Niederer, Gernot Plank, Heinrich Schima, Gundolf Haase and Elias KarabelasJournal of Computational Science 57 101506 (2022)
https://doi.org/10.1016/j.jocs.2021.101506
Isogeometric analysis of hydrodynamics of vesicles using a monolithic phase-field approach
Navid Valizadeh and Timon RabczukComputer Methods in Applied Mechanics and Engineering 388 114191 (2022)
https://doi.org/10.1016/j.cma.2021.114191
Computational fluid dynamics of blood flow in an idealized left human heart
Luca Dedè, Filippo Menghini and Alfio QuarteroniInternational Journal for Numerical Methods in Biomedical Engineering 37 (11) (2021)
https://doi.org/10.1002/cnm.3287
An image-based computational hemodynamics study of the Systolic Anterior Motion of the mitral valve
Ivan Fumagalli, Marco Fedele, Christian Vergara, Luca Dede’, Sonia Ippolito, Francesca Nicolò, Carlo Antona, Roberto Scrofani and Alfio QuarteroniComputers in Biology and Medicine 123 103922 (2020)
https://doi.org/10.1016/j.compbiomed.2020.103922
Identification of piecewise constant Robin coefficient for the Stokes problem using the Levenberg–Marquardt method
Faten KhayatComputational and Applied Mathematics 39 (3) (2020)
https://doi.org/10.1007/s40314-020-01199-3
Augmented resistive immersed surfaces valve model for the simulation of cardiac hemodynamics with isovolumetric phases
Alexandre This, Ludovic Boilevin‐Kayl, Miguel A. Fernández and Jean‐Frédéric GerbeauInternational Journal for Numerical Methods in Biomedical Engineering 36 (3) (2020)
https://doi.org/10.1002/cnm.3223
A pipeline for image based intracardiac CFD modeling and application to the evaluation of the PISA method
Alexandre This, Hernán G. Morales, Odile Bonnefous, Miguel A. Fernández and Jean-Frédéric GerbeauComputer Methods in Applied Mechanics and Engineering 358 112627 (2020)
https://doi.org/10.1016/j.cma.2019.112627
Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot’s consolidation model
Elyes Ahmed, Florin Adrian Radu and Jan Martin NordbottenComputer Methods in Applied Mechanics and Engineering 347 264 (2019)
https://doi.org/10.1016/j.cma.2018.12.016
Missing boundary data recovery using Nash games: the Stokes system
A. Ben Abda and F. KhayatNumerical Algorithms 78 (3) 777 (2018)
https://doi.org/10.1007/s11075-017-0400-3
The sub-Cauchy–Stokes problem: Solvability issues and Lagrange multiplier methods with artificial boundary conditions
Elyes Ahmed and Amel Ben AbdaJournal of Computational and Applied Mathematics 338 258 (2018)
https://doi.org/10.1016/j.cam.2018.01.034
A patient-specific aortic valve model based on moving resistive immersed implicit surfaces
Marco Fedele, Elena Faggiano, Luca Dedè and Alfio QuarteroniBiomechanics and Modeling in Mechanobiology 16 (5) 1779 (2017)
https://doi.org/10.1007/s10237-017-0919-1
Numerical study of intrathecal drug delivery to a permeable spinal cord: effect of catheter position and angle
G. Pizzichelli, B. Kehlet, Ø. Evju, et al.Computer Methods in Biomechanics and Biomedical Engineering 20 (15) 1599 (2017)
https://doi.org/10.1080/10255842.2017.1393805
10160 101601F (2017)
https://doi.org/10.1117/12.2256674
Does Arterial Flow Rate Affect the Assessment of Flow-Diverter Stent Performance?
H.G. Morales, O. Bonnefous, A.J. Geers, et al.American Journal of Neuroradiology 37 (12) 2293 (2016)
https://doi.org/10.3174/ajnr.A4933
Blood Flow Simulations for the Design of Stented Valve Reducer in Enlarged Ventricular Outflow Tracts
Alfonso Caiazzo, Romain Guibert, Younes Boudjemline and Irene E. Vignon-ClementelCardiovascular Engineering and Technology 6 (4) 485 (2015)
https://doi.org/10.1007/s13239-015-0240-z
P1/P0+ elements for incompressible flows with discontinuous material properties
Eugenio Oñate, Prashanth Nadukandi and Sergio R. IdelsohnComputer Methods in Applied Mechanics and Engineering 271 185 (2014)
https://doi.org/10.1016/j.cma.2013.12.009
A robust and efficient valve model based on resistive immersed surfaces
Matteo Astorino, Jeroen Hamers, Shawn C. Shadden and Jean‐Frédéric GerbeauInternational Journal for Numerical Methods in Biomedical Engineering 28 (9) 937 (2012)
https://doi.org/10.1002/cnm.2474
FEM multigrid techniques for fluid–structure interaction with application to hemodynamics
M. Razzaq, H. Damanik, J. Hron, A. Ouazzi and S. TurekApplied Numerical Mathematics 62 (9) 1156 (2012)
https://doi.org/10.1016/j.apnum.2010.12.010
Analysis of a stabilized finite element method for fluid flows through a porous interface
Alfonso Caiazzo, Miguel A. Fernández and Vincent MartinApplied Mathematics Letters 24 (12) 2124 (2011)
https://doi.org/10.1016/j.aml.2011.06.012
Intracranial Stents Being Modeled as a Porous Medium: Flow Simulation in Stented Cerebral Aneurysms
L. Augsburger, P. Reymond, D. A. Rufenacht and N. StergiopulosAnnals of Biomedical Engineering 39 (2) 850 (2011)
https://doi.org/10.1007/s10439-010-0200-6
Fluid Structure Interaction II
S. Turek, J. Hron, M. Mádlík, et al.Lecture Notes in Computational Science and Engineering, Fluid Structure Interaction II 73 193 (2011)
https://doi.org/10.1007/978-3-642-14206-2_8
Projection Schemes for Fluid Flows through a Porous Interface
Alfonso Caiazzo, Miguel A. Fernández, Jean-Frédéric Gerbeau and Vincent MartinSIAM Journal on Scientific Computing 33 (2) 541 (2011)
https://doi.org/10.1137/100788124
A primer on computational simulation in congenital heart disease for the clinician
Irene E. Vignon-Clementel, Alison L. Marsden and Jeffrey A. FeinsteinProgress in Pediatric Cardiology 30 (1-2) 3 (2010)
https://doi.org/10.1016/j.ppedcard.2010.09.002