Driss Yakoubi
Post Doctorant à REO Team
INRIA, Centre de Recherche de Paris Rocquencourt.

Liste de publications

• Numerical Method for the 2D Simulation of the Respiration. With A. Devys, C. Grandmont, B. Grec and B. Maury [PDF]
  Abstract:
  
  In this article we are interested in the simulation of the air flow in the bronchial tree. The model we use has already been described by L. baffico, C .Grandmont and Y. Maday and is based on a three part description of the respiratory tract.
  This model leads, after time discretization, to a Stokes system with non standard dissipative boundary conditions that cannot be easily and directly implemented in most FEM software, in particular in freefem++.
  The objective is here to provide a new numerical method that could be implemented in any softwares. After describing the method, we illustrate it by two-dimensional simulations.



• Influence Of The Spray Retroaction On The Airflow. With L. Boudin, C. Grandmont and B. Grec [PDF]
  Abstract:
  
  In this work, we investigate the influence of a spray evolving in the air, in the respiration framework. We consider two kinds of situations: a moving spray in a motionless fluid, and motionless particles in a poiseuille flow. We observe that the spray retroaction may not be neglected in some situations which can really happen, for instance, when one considers rather big particles, as it is possible for polluting particles and even for somr therapeutic aerosols. The retroaction is even responsable for increasing the deposition phenomenon.



• An Iterative Procedure to Solve a Coupled Two-Fluids Turbulence Model. With T. Chacon Rebollo and S. Del Pino [PDF]
  
  Abstract:
  
  This paper introduces a scheme for the numerical approximation of a model for two turbulent flows with coupling at an interface. We consider the variational formulation of the coupled model, where the turbulent kinetic energy equation is formulated by transposition. We prove the convergence of the approximation to this formulation for 3D flows for large turbulent viscosities and smooth enough flows. Under the same assumptions, we show that the limit is a solution of the initial problem. Finally, we give some numerical experiments to enlighten the theoretical work.



• Une borne inférieure pour la constante de la condition inf-sup sur l'opérateur de divergence. With S. Del Pino and U. Razafison [PDF]
  Abstract:
  
  The inf-sup condition [Babuskaa and Brezzi] plays an important role in problems from fluid mechanics. The purpose of this Note is to give, for any connected bounded open set with a Lipschitz-continuous boundary, a lower bound for the inf-sup condition's constant that only depends on the norm of the harmonic trace lifting on domain.



• Analyse et mise en oeuvre de nouveaux algorithmes en méthode spectrales [PDF].
  
  Thèse de l'Université Pierre et Marie Curie (Paris 6).
  
  
Abstract:

Vous pouvez télécharger le résumé de ma thèse en cliquant sur: Résumé

Conférences



Écoulement de l'air dans les voies aériennes
Groupe de travail Modélisation numérique et Images, Université Paris Descartes (10 Avril 2009).


Around the lung projects. With M. Astorine, L. Boudin, A. Devys, C. Grandmont, B. Grec and B. Maury [PDF]


A fictituous domain like-Spectral method for complex geometries. With S. Del Pino [PDF]


An Iterativeprocedure to solve a coupled atmosphere-ocean turbulence model. With T. Chacon Rebollo and S . Del Pino [PDF]


Soutenance de ma thèse: Analyse et mise en oeuvre de nouveaux algorithmes en méthodes spectrales [PDF]