Mourad Ismaïl Associate Professor in Applied Mathematics at Grenoble Alpes University Ph.: +33 4 76 51 48 94 F.: +33 4 76 63 54 95 Mourad.Ismail univ-grenoble-alpes.fr

Dynamique des Fluides Complexes et Morphogénèse Laboratoire Interdisciplinaire de Physique Université Grenoble Alpes CS 4070 38058 Grenoble Cedex 9

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• Numerical modeling and simulation of two-fluid flows. Application to bubbles, drops and vesicles dynamics.

  To be completed... But, to have an idea, you can take a look at Vincent Doyeux's home page (a former PhD student).
  

  Related papers

  1. Simulation of two-fluid flows using a finite element/level set method. Application to bubbles and vesicle dynamics. JCAM , HAL.
  2. Simulation of two phase flow using a level set method: Application to bubbles and vesicle dynamics. Fifth International Conference on Advanced COmputational Methods in ENgineering, Belgium (2011).
  3. Simulation of vesicle using level set method solved by high order finite element. HAL
  4. Feel++: A Computational Framework for Galerkin Methods and Advanced Numerical Methods. HAL.
  5. A "Necklace" Model for Vesicles Simulations in 2D. HAL.

• Penalty method. Elucidating the Zweifach-Fung effect

  In this work we were interested to the problem of splitting a suspension in bifurcating channels dividing into two branches of non equal flow rates. This work is done in a collaboration with two experimental physicists colleagues (G. Coupier and T. Podgorski) and my current PhD student Vincent Doyeux.
  We have also extend this framework to 3D using FEEL++ Library.

  Experiments done by T. Podgorski and G. Coupier. Simulations by V. Doyeux and I using FreeFem++ software.

  Rigid sphere in a 3D T-bifurcation. Calculation done using FEEL++ Library.

  Related papers

  1. Behavior of flowing bodies near a bifurcation: elucidating the zweifach-fung effect. 2nd European Conference on Microfluidics, Toulouse : France (2010).
  2. Spheres in the vicinity of a bifurcation: elucidating the Zweifach-Fung effect. JFM 674 (2011) 359-388, arXiv.
  3. Feel++: A Computational Framework for Galerkin Methods and Advanced Numerical Methods. HAL.

• Numerical simulations based on the Fat Boundary Method for Fluid Flows in presence of obstacles.

  	Navier-Stokes simulation: Fluid flow past a mobile sphere. .avi (1.7Mb) or .mpg		Navier-Stokes simulation: Driven Cavity flow in presence of a sphere. .mpg (1.5Mb)
  	Navier-Stokes simulation: Poiseuille flow (Re~10) in presence of two spheres. .avi or .mpg		Navier-Stokes simulation: Poiseuille flow (Re~200) in presence of two spheres. .avi or .mpg

• Coupling heat convection-diffusion and fluid flow.

  Potential flow simulation: heat convection-diffusion in presence of a mobile and "fresh" sphere : .mpg (1.3Mb) or in higher resolution .avi (3.2Mb)

  Potential flow simulation: heat convection-diffusion in presence of two mobile and "fresh" spheres : .mpg (1.3Mb) or in higher resolution .avi (2.9Mb)

• Numerical simulations based on the Mortar Finite Element and the Absorbing Boundary Conditions for acoustic waves in inhomogeneous media.

  We focus here on the non-conforming mesh effect. The domain of computation is decomposed in two sub-domains, each of them is meshed separately so we have to deal with non matching grids.

  non conforming mesh (at the middle of the rectangle) but the medium is homogeneous! We observe that the "artificial" discontinuity has no effect on the solution. (AVI file), (MPG file)

  In this case th medium is inhomogeneous. We consider the same non conforming mesh (at the middle of the rectangle). The reflexion at the interface is handled by the mortar finite element method. (AVI file), (MPG file)