Aymen Laadhari and Gábor Székely. Eulerian finite element method for the numerical modeling of fluid dynamics of natural and pathological aortic valves. Journal of Computational and Applied Mathematics, 319C:236–261, 2017. LS_JCAM2017 We present a finite element methodology tailored for the simulation of pulsatile flow in the full aorta and sinus of Valsalva interacting with highly deformable…
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Aymen Laadhari and Gábor Székely. Fully implicit finite element method for the modeling of free surface flows with surface tension effect. International Journal for Numerical Methods in Engineering, John Wiley & Sons Ltd, 111(11):1097–1074, 14 September 2017. LS_IJNME2017 A new approach based on the use of the Newton and level set methods allows to follow…
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Aymen Laadhari and Gábor Székely. Warning about the Risk of Blood Flow Stagnation after Transcatheter Aortic Valve Implantation. International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 11(1):33-37, 2017. LS_IJMCPECE2017 In this work, the hemodynamics in the sinuses of Valsalva after Transcatheter Aortic Valve Implantation is numerically examined. We focus on the physical results in the…
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Aymen Laadhari, and Alfio Quarteroni. Numerical modeling of heart valves using resistive Eulerian surfaces. International Journal for Numerical Methods in Biomedical Engineering, Wiley Online Library, 32(5):e02743, 2016. LQ_IJNMBE2016 The goal of this work is the development and numerical implementation of a mathematical model describing the functioning of heart valves. To couple the pulsatile blood flow…
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Aymen Laadhari, Pierre Saramito, and Chaouqi Misbah. An adaptive finite element method for the modeling of the equilibrium of red blood cells. International Journal for Numerical Methods in Fluids, Wiley Online Library, 80(7):397-428, 2016. LSM_IJNMF2016 This contribution is concerned with the modeling of the static equilibrium of isolated red blood cell (RBC), and more generally…
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Aymen Laadhari and Gábor Székely. Implicit Eulerian Fluid-Structure Interaction Method for the Modeling of Highly Deformable Elastic Membranes. International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 10(12):606-615, 2016. LS_IJMCPECE2016 This paper is concerned with the development of a fully implicit and purely Eulerian fluid-structure interaction method tailored for the modeling of the large deformations of…
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Aymen Laadhari. An Implicit Methodology for the Numerical Modeling of Locally Inextensible Membranes. International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 10(12):621-628, 2016. L_IJMCPECE_16 This paper is concerned with the development of a fully implicit and purely Eulerian fluid-structure interaction method tailored for the modeling of the large deformations of elastic membranes…
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Aymen Laadhari, Yves Barral, and Gabor Szekely. Mathematical modeling and numerical simulation of protein diffusion on the yeast Endoplasmic Reticulum. Draft. Draft to submit We present a computational framework based on the use of Partial Differential Equations-constrained optimization techniques to model the diffusion of fluorescently tagged molecules on the yeast Endoplasmic Reticulum. We aim at…
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