Hi I'm Rachid Touzani, Professor of Applied Mathematics.
As a researcher I work on mathematical modeling and numerical simulation of various
processes and phenomena in Physics and Engineering Sciences.
You can download my curriculum vitae here
Development of numerical software for simulation of oil and gas recovery:
Implementation of a finite element method for the numerical simulation of fluid flow in porous media.
Development of a finite element code for the numerical simulation of CBM (Coal Bed Methane) recovery: two-phase (gas and water) flow in porous media taking into account desorption process.
This work was realized in a large scale collaboration with F. Bouchon (Clermont-Ferrand), S. Clain (University of Minho, Portugal), P. Gremaud (Raleigh, USA), C. Kuster (PhD, Raleigh, USA), and G. Peichl (Graz, Austria).
Flow of metal liquids under the action of a magnetic field, Computation of a free boundary: interface metal - air.
Results concerning existence of a solution of a problem that couples eddy current and Navier-Stokes equations. Convergence of the used numerical methods.
Use of a coupled Finite Element / Boundary Element method. Construction of an iteration process to solve the free boundary problem
This work was realized at the Swiss Federal Institute of Technology with J. Rappaz and under a contract with ALCAN.
Electromagnetic casting, stirring and forming.
Numerical modelling of an induction heating process for two-dimensional geometries. Treatment of magnetic materials with accounting for Curie point. Optimal control of the process.
Results concerning existence of a solution of a quasi-stationary model problem.
Use of a time two-scale method to simulate the process. Techniques of
optimal control to optimize the process in function of
parameters as: Inductor shape, frequency, voltage sampling, ...
This work was realized in part at the Swiss Federal Institute of Technology with S. Clain, J. Rappaz, M. Swierkosz, under a contract with the AMYSA Yverdon Company at the Blaise Pascal University with the Renault company.
Use of asymptotic techniques to obtain models for thin conductors. The aim is to couple field equations (in thick conductors) with circuit equations in inductors.
This work is realized in collaboration with Y. Amirat.
Publication of a monograph on eddy currents and magnetostatics (Springer)
Development of efficient numerical techniques in computational fluid
dynamics. Namely: Projection Finite Element Methods:
Development of a projection method using the mini-finite element for space discretization of time dependent incompressible Navier-Stokes equations.
Numerical Simulation of Instabilities in a Heat Island: Development of a mathematical model and numerical code, in collaboration with T. Dubois for the simulation of transition to turbulence in a heat island.
Presented at the ETAMM'18 Conference in Krakow, Poland - June 2018.
Presented at the MAMERN IV Conference, Pau, France - June 2015.
Presented at Workshop on
Evolution Equations, Crete, Greece - September 2010.
Presented at the European Finite Element Fair, Göteborg, Sweden - June 2008.
Presented at the European Finite Element Fair, Zürich, Switzerland, May 2006.
Presented at the European Finite Element Fair, Berlin, Germany, June 2004.
Based on a long experience in the development of finite element software, OFELI
(Object Finite Element LIbrary) is a framework of C++ classes for the development of finite element programs.
More information and downloading Here
rita is a console application to help solving basic numerical analysis problems and mainly solving partial
differential equations using the library OFELI. rita is multi-platform, open source and
may considered as a user friendly use of OFELI.
More information and downloading Here