Numerical analysis of PDEs, Nonconforming methods, discretization of fluid flow in porous medium, model order reduction, Automatic learning from PDEs, Computational Science & HPC techniques.
French, English, Farsi, C++
Current PositionPostdoctoral research fellow
at INRIA (Team COFEE) & Univ. Côte d'Azur, collaboration with ANDRA (Agence nationale pour la gestion des déchets radioactifs), since oct. 2017.
Simulation des écoulements liquide gaz dans les milieux de très faible perméabilité avec réseaux de fractures discrètes
Darcy flows in fractured porous media
Part of the COFFEE team (COmplex Flows for Energy and Environnement), I am currently working on Darcy flows in a low permeability porous medium having a discrete fractured network. This work is supervised by R. Masson and K. Brenner with the collaboration of Laurent Trenty (ANDRA), find below two teasers
computations made on cartesian and triangular meshes (derived from FVCA5 meshes) with different fracture networks.
Reduced order modeling
In progress... Solve in real time, within the web browser, a parametrized Oseen PDE, discretized by a HHO(0) method on a triangular mesh using Deep Learning :
JA & D. Di Pietro.
An advection-robust Hybrid High-Order method for the Oseen problem, to appear in Journal of Scientific Computing, 2018.
arXiv | HAL
JA, B. Ruffini & D. Di Pietro. A hp-Hybrid High-Order method for variable diffusion on general meshes, Comput. Meth. Appl. Math., 17(3):359-376, January 2017.
DOI | HAL
JA. Numerical resolution of partial differential equations with variable coefficients, Ph.D thesis, December 2016.
JA, S. Boyaval & D. Di Pietro. Hybridization of Mixed High-Order methods on general meshes and application to the Stokes equations, Comput. Meth. Appl. Math., 15(2):111-134, January 2015.
DOI | HAL
(upcoming) June 2018 — CMWR2018, St-Malo — Hybrid-dimensional two-phase flow in fractured porous media with interface solver.