A5030634379- Cardiac electrophysiology and arrhythmias
- Lattice Boltzmann Simulation Studies
- Advanced Numerical Methods in Computational Mathematics
- Fluid Dynamics and Turbulent Flows
- Computational Fluid Dynamics and Aerodynamics
- Cardiovascular Function and Risk Factors
- Cardiovascular Health and Disease Prevention
- Model Reduction and Neural Networks
- Advanced Mathematical Modeling in Engineering
- Elasticity and Material Modeling
- Fluid Dynamics and Vibration Analysis
- Advanced MRI Techniques and Applications
- Analog and Mixed-Signal Circuit Design
- Neuroscience and Neural Engineering
- ECG Monitoring and Analysis
- Navier-Stokes equation solutions
- Fluid Dynamics Simulations and Interactions
- Coronary Interventions and Diagnostics
- Control Systems and Identification
- Rheology and Fluid Dynamics Studies
- Fluid Dynamics and Heat Transfer
- Cardiac Valve Diseases and Treatments
- Numerical methods for differential equations
- Enhanced Oil Recovery Techniques
- Probabilistic and Robust Engineering Design
Institut national de recherche en informatique et en automatique
2011-2020
Laboratoire Jacques-Louis Lions
2012-2020
Sorbonne Université
2008-2020
Université Paris Cité
2017
Stanford University
2011-2012
Laboratoire de Mathématiques d'Orsay
2008
Université Paris-Saclay
2008
Technical University of Darmstadt
2007
Numerical Method (China)
2000-2002
CERMICS
1997-2000
We derive the Saint-Venant system for shallow waters including small friction, viscosity and Coriolis-Boussinesq factor departing from Navier-Stokes with a free moving boundary. This derivation relies on hydrostatic approximation where we follow role of friction bottom. Numerical comparisons between limiting direct simulation allow to validate this derivation.
Abstract We address the numerical simulation of fluid–structure systems involving an incompressible viscous fluid. This issue is particularly difficult to face when fluid added‐mass acting on structure strong, as it happens in hemodynamics for example. Indeed, several works have shown that, such situations, implicit coupling seems be necessary order avoid instabilities. Although significant improvements been achieved during last years, solving often exhibits a prohibitive computational cost....
We propose a quasi-Newton algorithm for solving fluid-structure interaction problems. The basic idea of the method is to build an approximate tangent operator which cost effective and takes into account so-called added mass effect. Various test cases show that allows significant reduction computational effort compared relaxed fixed point algorithms. present 2D 3D simulations performed either with simple 1D structure model or shells in large displacements.
We present a formulation for accommodating defective boundary conditions the incompressible Navier--Stokes equations where only averaged values are prescribed on measurable portions of boundary. In particular we consider case flow rate is imposed several domain sections. This methodology has an interesting application in numerical simulation blood vessels, when reduced set data generally available upstream and downstream
Important progress has been achieved in recent years simulating the fluid-structure interaction around cardiac valves. An important step making these computational tools useful to clinical practice is development of postprocessing techniques extract clinically relevant information from simulations. This work focuses on flow through aortic valve and illustrates how computation Lagrangian coherent structures can be used improve insight into transport mechanics downstream valve, toward goal...
Abstract Embedded boundary methods for CFD (computational fluid dynamics) simplify a number of issues. These range from meshing the domain, to designing and implementing Eulerian‐based algorithms fluid–structure applications featuring large structural motions and/or deformations. Unfortunately, embedded also complicate other issues such as treatment wall conditions in general, transmission particular. This paper focuses on this aspect problem context compressible flows, finite volume method...
We prove a global-in-time existence result of weak solution for magnetohydrodynamic (MHD) problem set in bounded domain $\mathbb{R}^3$. The fluid is supposed to be incompressible but with an unhomogeneous density, viscosity and electrical conductivity. displacement currents are neglected the time-dependent Maxwell equations. model describes particular flow two immiscible fluids presence magnetic field
Spontaneous deep intracerebral hemorrhage (ICH) is a devastating subtype of stroke without specific treatments. It has been thought that smooth muscle cell (SMC) degeneration at the site arteriolar wall rupture may be sufficient to cause hemorrhage. However, ICHs are rare in some aggressive small vessel diseases characterized by significant SMC degeneration. Here we hypothesized second cellular defect required for occurrence ICH.We studied genetic model spontaneous ICH using Col4a1+/G498V...
We propose a model for medical device, called stent, designed the treatment of cerebral aneurysms. The stent consists grid, immersed in blood flow and located at inlet aneurysm. It aims promoting clot within is modelled by incompressible Navier-Stokes equations dissipative surface term. stabilized finite element method this we analyse its convergence case Stokes equations. present numerical results academical test cases, on realistic aneurysm obtained from imaging.
We study the well-posedness of a coupled system PDEs and ODEs arising in numerical simulation electrocardiograms. It consists degenerate reaction–diffusion equations, so-called bidomain governing electrical activity heart, diffusion equation potential surrounding tissues. Global existence weak solutions is proved for an abstract class ionic models including Mitchell–Schaeffer, FitzHugh–Nagumo, Aliev–Panfilov, McCulloch. Uniqueness case FitzHugh–Nagumo model. The proof based on regularization...