Fayssal Benkhaldoun

CURRICULUM VITAE

Personal address:                                                             Professional address:

25 Rue de Wattignies                                                     LAGA Université Paris 13

75012 Paris – France                                                     99 Avenue J.B. Clement

Mobile: +33 642 336 933 93430                                Villetaneuse - France

email: fayssal@math.univ-paris13.fr                            Tel: +33 149 403 615

Full Professor, Class 1, in Applied Mathematics at the University of Paris 13
Head of the team Modeling and Scientific Computing (MCS)
Laboratory Analaysis Geometry and Applications (LAGA)

https://www.math.univ-paris13.fr/~fayssal/

Laureate for a six month visiting professor (october 2014) at the Superior National School of Mines Rabat Morocco

1. Summary of the career

I prepared a PhD in 1988 at INRIA Sophia-Antipolis, France (National Institute for Research in Computer Science). The subject was the application of finite element methods and finite volume methods for numerical simulations of laminar flame propagation. During this period, I proposed a mathematical analysis explaining the loss of positivity of the finite elements method when applied to the diffusion equation on deformed triangular meshes.

In September 1989 I was recruited as a lecturer in the Department of Mathematical Engineering at INSA (National Institute for Applied Sciences ) of Rouen. I maintained my involvement in research by collaborating with Roland Borghi, a world specialist in combustion physics. I simultaneously started working with Driss Ouazar a professor at the Mohammedia School of Engineer of Rabat (EMI) in Morocco on the study of flows in shallow water phenomena.

In 1996 a collaboration with Roland Vilsmeier from the University of Duisburg (Germany) enabled to launch the series of international symposia FVCA (International Symposium on Finite Volumes for Complex Applications) which is, since, successfully organized every three years.

In September 2000, I was recruited as a university professor at IUTV (Technological University Institute of Villetaneuse) and as a researcher in LAGA (Laboratory Analaysis Geometry and Applications), at University Paris 13. At IUTV I was a member of the management council, and I was during three years the vice president of the council restricted to professors.

In terms of research, I continued my previous collaborations. Thus in 2001 a work with F. Alcrudo lead to the complete description of the exact solution of a dam break problem on a bottom step and in 2004 a conjecture of R. Borghi on a triple flame has been demonstrated numerically.

Moreover, as associate researcher of CMLA at ENS Cachan, I was involved in the problems of two-phase flows. I proposed in 2002 a predictor-corrector type schemes (SRNH) dedicated to inhomogeneous systems in general. This scheme was studied and extended by Slah Sahmim during his PhD under my supervising.

On the field of Finite Volumes, the organization of FVCA symposia resulted in the launching of a new electronic journal: International Journal on Finite Volumes (IJFV).

The FVCA meetings allowed me also to start two important new collaborations. The first on 3D adaptive finite volume solvers with Jaroslav Fort, head of mathematical department of the Technical University of Prague (Czech Republic), and the second with Mohammed Seaid of the University of Durham (UK), on the implementation of the SRNH scheme for transport of pollutants and sediments. This last collaboration has conducted to launch an Euro-Mediterranean cooperation project on modeling of coastal and river hydrodynamics (see https://project.inria.fr/medlagoon/fr). This project in collaboration with INRIA Sophia-Antipolis, involved the universities of Rabat, Agadir and Oujda in Morocco, and Tunisia Polytechnic School, and also an Egyptian institution and a Greek institution. It enabled the launch of two PhD. The first of Mrs. Saida Sari and the second of Mr. Tarek Ghoudi from Tunisia.

In addition, in 2002 I got involved in a cooperative action with Bamako (Mali). Amadou Mahamane from Bamako was granted to prepare his PhD in University Paris 13 under my supervising.

The work during the PhD of Mr. Mahamane, devoted to adaptive methods for flow in porous media, was part of a CNRS project (MOMAS), and enabled to start an industrial contract with IRSN (Institute for Radiological Protection and Nuclear safety).

Furthermore, a collaboration was launched with Khaled Hassouni, director of LSPM (Laboratory of Process and Materials Science), University Paris 13, on numerical simulation of streamer propagation in cold plasmas. This work was done in the framework of the PhD of Mr. Jan Karel under joint supervising of the Technical University of Prague, and was defended in December 2014. The work resulted in the full 3D adaptive simulation of the propagation and branching of a streamer discharge in cold plasma.

Finally, I actively participate to the Math-Stic pole of the University Paris 13. From 2014, I am supervising with professor Christophe Cerin of LIPN (Laboratoire d'Informatique de Paris Nord) the PhD of Mr. Imad Kissami on high performance computing (HPC) applied to the ADAPT3D platform of LAGA. Interesting results were obtained and a first common article Submitted.

Lately a new collaboration on meshless methods started with the EMI Rabat for Eutrophication problems and flow in porous media. Two articles which are issued from this collaboration are already published.

2. Production: presentation of the most significant publications:

In collaboration with F. Alcrudo, a work was conducted in 2001 about the exact solution of dam break problem on a step-shaped bottom. Mathematically this corresponds to a Riemann problem with the presence of a stationary discontinuity. Using energy conservation considerations, a full description of the problem solution has been proposed. This work extends immediately to calculate the exact solution of a gas flow in a discontinuous cross-section nozzle (P8).

Subsequently a predictor-corrector Finite Volume scheme was developed in 2002 by considering a more general class of non-homogeneous systems. The scheme (SRNH) which is formally of the second order does not require a conservation form of the system, nor that it is hyperbolic, but rely only on the hypothesis of the self-similarity of the solution of a Riemann problem. Good results were obtained in the 1D case for the two-phases Ransom problem with a very small number of mesh nodes (P11).

Mr. Slah Sahmim, during his PhD in 2006 conducted a mathematical analysis using a local maximum principle which resulted in a new version of SRNH scheme. This version requires, in the predictor step, the computation of the sign of a matrix. This matrix is close but not exactly equal to the Jacobian of the system. This leads to a scheme which is first order but stable and robust for the treatment of non-homogeneous systems (P13-P18-P22-P25-P40-P46)

To address the multi-layer models of free surface flows, a new Characteristic finite-volume (CFV) scheme was developed in 2010. The CFV scheme is similar to SrNH, but uses a Lagrangian evaluation in the predictor step, while remaining in the Eulerian framework for the correction step. This scheme allowed to perform calculations for complex new models such as wind recirculation problems (P24-P32-P42-P44)

Moreover the application of this type of Lagrangian-Eulerian schemes was used in 2015 as the predictor step of a new family of meshless schemes. This work is done in the framework of a new collaboration with EMI Rabat and has already resulted in the publication of two articles (P45-P47).

In the field of flow in porous media and plasma physics which are characterised by a coupling of an elliptic problem leading to the resolution of a Linear system and a system of convection-diffusion equations, we have done an important work using dynamic mesh refinement intensively, with innovative finite volume schemes for diffusion operators, such as the diamond scheme and the FE-FV scheme of Amaziane et al. (P19-P35-P41).

3. Supervision and research management:

Team Leader of MCS (Modeling and Scientific Computing) of the LAGA since September 2015

Organization of seminars, conferences, workshops

Day of the MCS team "HPC and domain decomposition" April 7, 2016. https://www.math.univ-paris13.fr/hpcdd/

Initiator of the symposium series on finite volumes for complex applications (FVCA):
FVCA-8 scheduled at Lille, France in 2017

FVCA-7 Berlin, June 2014 (http://www.wias-berlin.de/fvca7/).
FVCA-6 Prague, June 2011, edited by J. acts FOET, J. Furst, J. Halama, R. Herbin
FVCA-5 (http://www.latp.univ-mrs.fr/fvca5/) in June 2008 in Aussois, acts edited by R. Eymard and J.M. Herard.
FVCA-4 (http://www.math.univ-paris13.fr/~fayssal/FVCAs/fvca4/), University of Marrakech, 4-8 May, 2005, edited by F. Benkhaldoun acts, D. Ouazar and S . Raghay
FVCA-3 (http://www.cmi.univ-mrs.fr/~herbin/FVCA-3/), June 2002 Porquerolles, acts edited by R. Herbin and D. Kroner
FVCA-2 - Second International Symposium on Finite Volumes (http://www.math.univ-paris13.fr/~fayssal/FVCAs/FVCA-2/), University of Duisburg, Germany, in 1999, edited by F. acts Benkhaldoun , D. and R. Hanel Vilsmeier.
 FVCA-1 - First International Symposium on Finite Volumes (http://www.math.univ-paris13.fr/~fayssal/FVCAs/FVCA-1/), INSA Rouen, 1996, edited by F. Benkhaldoun acts and R . Vilsmeier.

PhD supervising:
Twelve PhD already defended and four ongoing

Research Networks
Initiation and participation of INRIA 3+3 program on coastal flow.
Participation to the GNR MOMAS
Participation in the European Concerted Action on the CADAM dam breaks.

4. Research contracts:

Responsible of an industrial contract with IRSN (35 000 €) and an academic contract (EnCoMix) under the COMUE SPC ( 150 000 €) and a new industrial contract with IRSN (45 000 €) for the period 2015-2018. A new PhD in collaboration with IRSN is in preparation.

5. International Exchange (participation in a research network, invitations to foreign universities ...), expertise (national or international organizations), editorial responsibilities, PhD and HDR committee participation, dissemination of knowledge, responsibilities and activities within scientific societies:

Initiator and co-editor with T. Gallouet and J.M. Ghidaglia of IJFV journal (International Journal on Finite Volumes (http://www.latp.univ-mrs.fr/IJFV/)
Expert for MathReviews, J. Comput. Phys, Int. J. Num. Meth. Fluids, J. Comput. Appl. Math., And others.
Manager and host of a Hubert Curien Programme (Barande 2007-2008) and a SOCRATES (2008-2009-2010) with the Czech Republic.
Co-manager of an AUF program: France-Mali and Morocco (2007-2008).
Co-responsible with Hervé Guillard of an international cooperation project of INRIA (Euro Mediterranean 3 + 3 program) whose theme is the modeling of coastal and river hydrodynamics (from 2009).
New colaboration with the laboratory of Professor Driss Ouazar LASH, (Director of the Superior National School of Mines of Rabat - ENSMR) on the free surface flows.
Collaboration with Pr. Hassouni and his team at the CNRS laboratory LSPM University Paris 13, on the theme of the spread of discharges in a plasma of electrons and ions.
Collaboration with Professor Mohammed Seaid of Durham University (UK) for the development of efficient numerical methods for non homogeneous systems.
Collaboration with professor Jaroslav Fort from the University of Prague on the finite volume methods with use of object-oriented programming.
Collaboration with Professor I. Elmahi University of Oujda on dynamic mesh refinement methods for fluid flow problems.

Laureate for a six month visiting professor contract at Mines-Rabat Morocco (from october 2014, grant of Moroccan National Center for Scientific and Technical Research)

Invited one week in 2016 at the University of Prague.
Invited one month in 2015 at the School Mines flap.
Invited one week in 2007 and in 2013 at the University of Prague.
Invited one week in April 2007 at the University of Kaiserslautern.
Invited one week in November 2006 at the University of Zaragoza.

Referee and member of PhD committees:
2015, (Referee), Sébastien Bourasseau, refinement methods of hybrid grids based on the adjoint vector for calculating aerodynamic functions
2015, (Referee), Joris Costes, Development of methods solving partial differential equations: the numerical scheme for the simulation of an industrial plant
2014, (Referee), Franck Nguyen, automatic meshing tools development based on mathematical morphology in the case of heterogeneous materials and dual multi-phase
2014, (Referee), Louis Le Tarnec, on the effective resolution of partial differential equations derived in mechanics and multiphase fluids in medical imaging.
2013 Jonatan Mulet, Implicit Solvers on non Structured Meshes, Zaragaza, Spain.
2009, Mohamad Muhieddine, "Numerical simulation of combustion prehistoric structures."
2007 (Referee) Julien Berton, "finite volume schemes applied to some models of financial mathematics"
2007 (Referee) Elodie Tillier, "Coupling reactions and transport for the modeling and simulation of geological storage of CO2".
2006 Pascal Jaisson, "complex systems governed by flow: finite volume schemes and numerical optimization."
2006 (Referee) Roxana Panescu, "Modeling of multiphase flows in Eulerian dispersed phase and numerical simulation by a finite element volumes method."
2005 Karim Djadel, "Method of finite volumes and singularities."
2001, Anthony Michael, "Convergence of finite volume schemes for nonlinear convection diffusion problems."

Referee and member of Hdr committees:
2009, Mohammed Bradji "Convergence analysis for Finite Volume and Finite Element methods."
2004 Florian Devuyst "Modeling fluid flow of information systems".
2002 Mohammed Taik, "Modeling and analysis of free surface flows by finite volume schemes and the finite element method".

6. Educational activities:

Master level:
Course of 15 hours at the Superior National School of Mines of Rabat "Finite Volume for Elliptic Problems" (2014)
Course of 24 hours for the Master: Numerical Analysis, (University Paris 6 and Paris 13): "Finite Volumes" (2003-2005).
Course of 15 hours Master: Fluid Mechanics of the ENS Cachan: "Finite Volumes for problems with Source Terms" (2003-2005).
Course of 15 hours for Applied Mathematics Engineer School of University Paris 13 (MACS): "Singularity in fluid flows" (2002-2005).
Course of 20 hours Master: mathematics of the University of Bamako "Introduction to finite volumes" (2002 and 2004).
Course of 17 hours on numerical methods for nonlinear hyperbolic problems, Master: Energetics, University of Rouen (1997-98).
Course of 20 hours on numerical methods for partial differential equations, Master: Mechanics, University of Rouen (1995-96).
Course of 20 hours on scientific computing of 5th year at INSA: Equations of physics and numerical methods (1992-2000).
Course of 54 hours on numerical methods for nonlinear hyperbolic PDE in 4th year at INSA Rouen (1989-2000), (1993-94) and (1994-95).
Course of 45 hours on numerical methods for partial differential equations in 4th year at INSA Rouen (1990-199).
Course of 45 hours on analysis, classification, and analytical resolution of Partial Differential Equations in 4th year at INSA Rouen (1990-2000).
Course of 22 hours on vector and parallel computing in 3rd year at INSA Rouen (1989-90).

Bachelor Level:
New course of 45H in 2015 on graph theory and linear algebra at IUT of Villetaneuse.
New course of 30H in 2015 on Partial differential Equations at IUT of Villetaneuse.
New course of 30H in 2015 on the integration and differential equations at IUT of Villetaneuse.
New course of 30H in 2015 on methods of Fourier at the IUT of Villetaneuse.
Course of 10H on digital signal processing at IUT of Villetaneuse (2001-2005)
Course of 10H on linear algebra at IUT of Villetaneuse (since 2001)
Course of 10H on probability at IUT of Villetaneuse (since 2001)

Supervising:

Masters thesis, engineer internship and pre-doctoral fellowships

2012-2013: Master thesis of Tarek Ghoudi, "Analysis and study of a coupling model between the model of Saint-Venant and porous media flow"
2012-2013: Master thesis of Soumaya Oueslati, "analytical and numerical study of the Saint-Venant problem with biological dynamics"
2012-2013: Internship (IRSN) engineer Mr. Hafiz Mohamed, "Comparative study of mesh adaptation methods in ADAPT and MELODY"
2010: Internship Pre-doctoral Saida Sari "1D Model of open channel flow with sediment transport"
2002-2003: Master thesis Mahamane Amadou, "Study of a predictor-corrector scheme for conservation laws"
2001-2002: Training pre-doctoral Miss Souad El Hassouni, "Mesh adaptation for a diffusion equation"
2000-2001: Training pre-doctoral Miss Amel Bergam "finite volume schemes for diffusion operator"

1994-1995: Master of Energetics of Mr I. Elmahi: "Generation of two-dimensional non structured mesh by the method of Delaunay"

1993-1994: Master of Energetics of Mr Durand, "Study of boundary conditions for a combustion injection problem"

1992-1993: Master of Energetics of Mr. L. Monthe "carcatéristiques finite-volume methods for equations of Saint Venant"

1991-1992: Master of Energetics of Mr A. Rakotoranto "two-dimensional mesh adaptation for a combustion problem,"

7. Administrative Responsibilities:

President, vice president, participation in central councils

1. Chairman of the council restricted to professors of IUT Villetaneuse (2006-2007)
2. Member of Technical Committee of University Paris 13

Steering committees and participation in boards

1. Head professor of the R&T department of IUT Villetaneuse (2009-2011)
2. Member of the administrative council of IUT Villetaneuse (2001-2014)
3. Member of the Scientific Council of INSA Rouen (1997-2000)

8. Common responsibilities:

1. Member of the Applied Mathematics Expert Committee of the University Paris 13.

2. Chairman of several Selection Committees
3. Board member of R&T department of the IUT Villetaneuse
4. Member of the GM department council of INSA Rouen
5. Member of the National Committee of the CNRS in 2001 and 2002.

9. List of publications:
I. Articles in international journal with referees:

• P-47) Y. Alhuri, F. Benkhaldoun, D. Ouazar, M. Seaid and A. Taik, « A meshless method for numerical simulation of depth-averaged turbulence flows using a k-ϵ model », (2016), International Journal for Numerical Methods in Fluids (IF 2014 : 1,244), Volume 80, Issue 1, 10 January 2016, Pages: 3–22, DOI: 10.1002/fld.4067

• P-46) F. Benkhaldoun, I. Elmahi, A. Moumna and M. Seaid, « A non-homogeneous Riemann solver for shallow water equations in porous media », (2016), accepté dans Applicable Analysis, DOI: 10.1080/00036811.2015.1067304

• P-45) F. Benkhaldoun, A. Halassi-Bakar, D. Ouazar, M. Seaid and A. Taik, « Slope limiters for radial basis functions applied to conservation laws with discontinuous flux function », (2016), accepté dans in Engineering Analysis with Boundary Elements (IF 2014 : 1,392),

• P-44) F. Benkhaldoun, S. Sari, M. Seaid « A Family of Finite Volume Eulerian-Lagrangian Methods for Two-dimensional Conservation Laws », (2015), Journal of Computational and Applied Mathematicas (IF 2013 : 1,077), Volume 285, September 2015, Pages 181–202, doi :10.1016/j.cam.2015.02.014

• P-43) F. Benkhaldoun, S. Sari, M. Seaid « Projection finite volume method for shallow water flows », (2015), Mathematics and Computers in Simulation (IF 2013 : 0,856) , Volume 118, December 2015, Pages 87–101, doi:10.1016/j.matcom.2014.11.027

• P-42) E. Audusse, F. Benkhaldoun, S. Sari, M. Seaid, P. Tassi, « A fast finite volume solver for multi-layered shallow water flows with mass exchange » (2014), J. Comp. Phys (IF 2013 : 2,485)., Volume 272, 1, Pages 23–45, http://dx.doi.org/10.1016/j.jcp.2014.04.026

• P-41) Benkhaldoun, F. ; Fort, J. ; Hassouni, K. ; Karel, J. ; Scarella, G. ; Trdlicka, D. « A Full 3-D Dynamically Adaptive Unstructured Grid Finite-Volume Approach to Simulate Multiple Branching in Streamer Propagation » (2014), IEEE Transactions on Plasma Science (IF 2013 : 0,950), Vol. 42 , Issue: 10 , Part: 1, Page(s): 2420 - 2421 DOI: 10.1109/TPS.2014.2321351

• P-40) N. Izem, F. Benkhaldoun, S. Sahmim, M. Seaid, M. Wakrim, "A new composite scheme for two-layer shallow water flows with shocks, J Appl Math Comput (2014), 44:467–489, DOI 10.1007/s12190-013-0703-z

• P-39) F. Benkhaldoun, S. Sari, M. Seaid, "A simple multi-layer finite volume solver for density-driven shallow water flows", Mathematics and Computers in Simulation, (2014); Volume 99, May 2014, Pages 170–189, http://dx.doi.org/doi:10.1016/j.matcom.2013.04.016

• P-38) F. Benkhaldoun, I. Elmahi, S. Sari and M. Seaid, "An unstructured finite-volume method for coupled models of suspended sediment and bed load transport in shallow-water flows", Int. J. Numer. Meth. Fluids (2013); Volume 72, Issue 9, 30 July 2013, Pages: 967–993, DOI: 10.1002/fld.3771,

• P-37) F. Benkhaldoun, S. Sari, G. Scarella, M. Seaid,  "A Non Homogeneous Riemann Solver for Two-phase Shallow Water Flows", Frontiers in Science and Engineering, (2012),  Vol. 2, Num 1, pp 1-20.

• P-36) F. Benkhaldoun, S. Daoudi, I. Elmahi, M. Seaid, "Numerical modeling of sediment transport in the Nador Lagoon", (2012),  Applied Numerical Mathematics, 62, 1749-1766,  http://dx.doi.org/10.1016/j.apnum.2012.05.010

• P-35) F. Benkhaldoun , J. Fort, K. Hassouni, J. Karel, "Simulation of Planar ionization wave Front Propagation on Unstructured Adaptive Grid", (2012), J. Comput. Appl. Math., 236, 4623-4634,  http://dx.doi.org/10.1016/j.cam.2012.04.010

• P-34) F. Benkhaldoun, S. Sari, M. Seaid, "A flux-limiter method for dam-break flows over erodible sediment beds", (2012), Applied Mathematical Modelling, Volume 36, Issue 10, October 2012, Pages 4847-4861, doi:10.1016/j.apm.2011.11.088

• P-33) F. Benkhaldoun, S. Daoudi, I. Elmahi and M. Zenasni, Numerical Computations of Pollutant Transport in the Nador Lagoon, (2011), Int. J. Math. Stat., Vol. 8, n° 11, pp 1-8.

• P-32) F. Benkhaldoun, M. Seaid, "Combined Characteristics and Finite Volume Methods for Sediment Transport and Bed Morphology in Free-surface Water Flows", Mathematics and Computers in Simulation, Vol 81, pp:2071-2086, (2011).

• P-31) E. Audusse, F. Benkhaldoun, J. Sainte-Marie, M. Seaid, "Multilayer Saint-Venant Equations over Movable Beds", DCDS-B, Vol 15, pp:917-934, (2011).

• P-30) J. Halama, F. Benkhaldoun, J. Fort, "Flux schemes based finite volume method for internal transonic flow with condensation", Int. J. Num. Meth. Fluids", Volume 65, Issue 8, pages 953–968, DOI: 10.1002/fld.2223, (2011).

• P-29) M. Hammouch, M. Boulerhchal, F. Benkhaldoun, I. Elmahi, N. Salhi, "SRNH Finite Volume Scheme With Mesh Adaptation For Shallow Water Equations and Variable Topography", Phys. Chem. News, Vol. 59, pp 13-21, (2011).

• P-28) F. Benkhaldoun, S. Daoudi, I. Elmahi, M. Seaid, "Comparison of unstructured finite-volume morphodynamic models in contracting channel flows", Mathematics and Computers in Simulation, Vol 199, pp:2087-2097, (2011).

• P-27) F. Benkhaldoun, S. Sahmim, M. Seaid, "Mathematical development and verification of a finite volume model for morphodynamic flow applications", “Advances in Applied Mathematics and Mechanics”, Vol 3, pp:470-492, (2011).

• P-26) E. M. Chaabelasri, N. Salhi, I. Elmahi, F. Benkhaldoun, High order well balanced scheme for treatment of transcritical flow with topography on adaptive triangular mesh, Phys. Chem. News, (2010), V. 53, pp 119-128.

• P-25) F. Benkhaldoun, I. Elmahi, M. Seaid, “A new finite volume method for flux-gradient and source-term balancing in shallow water equations”, (2010), Comp. Meth. App. Mech. Eng., (IF 2013 : 2,626), V 199, Issues 49-52, pp 3324-3335, doi:10.1016/j.cma.2010.07.003

• P-24) F. Benkhaldoun, M. Seaid, A simple finite volume method for the shallow water equations, J. Comput. Appl. Math., (2010), V 234, pp 58-72.

• P-23) S. Daoudi, I. Elmahi, F. Benkhaldoun, M. Zenasni, "Numerical simulation of pollutant transport in shallow water flows: Application to Nador lagoon", (2010), Phys. Chem. News, Vol. 56, pp 68-75.

• P-22) F. Benkhaldoun, S. Sahmim, M. Seaid, "A two-dimensional finite volume morphodynamic model on unstructured triangular grids", (2010), Int. J. Num. Meth. Fluids, Volume 63, Issue 11, pages 1296–1327., DOI: 10.1002/fld.2129".

• P-21) J. Halama, F. Benkhaldoun, J. Fort, "Flux schemes based finite volume method for internal transonic flow with condensation", Int. J. Num. Meth. Fluids", (2010), Volume 65, Issue 8, pages 953–968, DOI: 10.1002/fld.2223.

• P-20) J. Halama, F. Benkhaldoun, J. Fort, “Numerical modeling of Two-Phase transonic Flow", Mathematics and Computers in Simulation, (2010), V. 80, Issue 8, pp 1624-1635, doi:10.1016/j.matcom.2009.02.004.

• P-19) A. Mahamane, F. Benkhaldoun, O. Diallo, "Simulation numérique par volumes finis d'un écoulement diphasique eau-pétrole en milieu poreux". (French) [Numerical finite volume simulation of two-phase (oil-water) flow in porous media] Afrika Mat. (3) 20 (2009), 85--103.

• P-18) F. Benkhaldoun, S. Sahmim, M. Seaid, "Solution of the Sediment Transport Equations Using A Finite Volume Method Based on Sign Matrix", (2009), SIAM J. Sci. Comp, (IF 2013 : 1,940), Vol. 31, No. 4, pp. 2866–2889.

• P-17) F. Benkhaldoun, I. Elmahi, M. Seaid, “Application of Mesh-Adaptation for Pollutant Transport by Water Flow”, Mathematics and Computers in Simulation,  79, (2009), 3415–3423,  doi:10.1016/j.matcom.2009.04.007.

• P-16) F. Boushaba, I. Elmahi F. Benkhaldoun, A. G.L. Borthwick, “A comparative study of Finie Element and Finite Volume for problems of transcritical free surface flows on unstructured meshes”, IJCM, Vol. 5, N° 3, (2008), pp 413-431.

• P-15) F. Benkhaldoun, M. Seaid, “New finite volume relaxation methods for the third order differential equations”, (2008) Commun. Comp. Physics.Vol. 4, No. 4, pp. 820-837.

• P-14) F. Benkhaldou, I. Elmahi, M. Seaid, “Well-balanced finite volume schemes for pollutant transport on unstructured meshes”, (2007), J. Comput. Phys., Volume 226, Issue 1, pp 180-203.

• P-13) S. Sahmim, F. Benkhaldoun and F. Alcrudo, “A sign matrix based scheme for non-homogeneous PDE’s with an analysis of the convergence stagnation phenomenon”, (2007), J. Comput. Phys., Volume 226, Issue 2, pp 1753-1783.

• P-12) S. Sahmim, F. Benkhaldoun, “Analyse et application d’un schéma aux volumes finis dédié aux systèmes non homogènes», (2006), ARIMA, pp 302-316 (http://www-direction.inria.fr/international/arima).

• P-11) F. Benkhaldoun, L. Quivy, “A Non Homogeneous Riemann Solver  for shallow water and two phase flows”, (2006), Flow Turbulence Combust., 76:391-402.

• P-10) I. Elmahi, F. Benkhaldoun, R. Borghi, S. Raghay, "Ignition of fuel issuing from a porous cylinder located adjacent to a heated wall: a numerical study ", Combust. Theory Modelling 8 (2004) 789–809.

• P-9) B. Bouzouf, D. Ouazar, H. Himi, A. Casas, I. Elmahi, F. Benkhaldoun, "Integrating hydrogeochemical and geophysical data for validating a finite volume based numerical model for saltwater intrusion", Transport in Porous Media. 43, pp. 179-194, (2001).

• P-8) F. Alcrudo, F. Benkhaldoun, "Exact solutions to the Riemann problem of the Shallow Water equations with a step", Comps&Fluids V. 30, N° 6 pp. 643-671 (2001).

• P-7) L. Monthe, F. Benkhaldoun, I. Elmahi, "Positivity preserving finite volume Roe schemes for transport diffusion equations", Comp. Meth. in Applied Mech. and Eng. , 178, (1999) 215-232.

• P-6) I. Elmahi, F. Benkhaldoun, R. Vilsmeier, O. Gloth, A. Patschull, D. Hanel, "Finite Volume Simulation of a Droplet Flame Ignition on Unstructured Meshes" , Journal of Applied and Computational Mathematics, Volume 103, Issue1, (1999), pp 195-213.

• P-5) F. Benkhaldoun, R. Borghi, M. Gonzalez, "A nine point finite volume computation of droplet flame ignition", Comp. Meth. in Applied Mech. and Eng. 114 pp 295-305, (1994).

• P-4) F. Benkhaldoun, B. Denet, B. Larrouturou, "Numerical investigation of the extinction limit of curved flames", Combust. Sci. and Tech., (1989), Vol 64, PP. 187-198.

• P-3) F. Benkhaldoun, B. Larrouturou, "A finite-element adaptive investigation of curved stable and unstable flame front", Comp. Meth. in App. Mech. and Eng. 76 (1989), pp 119-134, North-Holand.

• P-2) F. Benkhaldoun, B. Larrouturou, "Numerical Analysis of the two-dimensional thermo-diffusive model for flame propagation", M2AN, Vol 22, N 4, (1988), pp 535-560.

• P-1) F. Benkhaldoun and B. Larrouturou, "Explicit adaptive calculations of wrinkled flame propagation", Intern. J. Numer. Methods in Fluids 7 (1987) 1147-1158.

II. Conferences, congresses and communication in symposia

• C-35) H. Amor, F. Benkhaldoun, M. Bourgeois1 and M-H Le, “Development of an adaptive mesh refinement strategy for the MELODIE software simulating flow and radionuclides transport in heterogeneous porous media », MAMERN 15

• C-34) F. Benkhaldoun, A. Halassi, D. Ouazar, M. Seaid, A. Taik, “Slope limiters for radial basis functions applied to conservation laws with discontinuous flux function », MAMERN 15

• C-33) R. Abdalaoui, F. Benkhaldoun, I. Elmahi, M. Seaid, “A Finite Volume Method for Large-Eddy Simulation of ShallowWater Equations”, Finite Volumes for Complex Applications VII, Springer Proceedings in Mathematics, Volume 78, 2014, pp 741-748.

• C-32) F. Benkhaldoun, S. Sari, M. Seaid, "A Predictor-Corrector Algorithm for Animating Nonlinear Water Waves", Waves’13, The 11th International Conference on Mathematical and Numerical Aspects of Waves (2013), June, 3-7, 2013, Gammarth, Tunisia, http://www.lamsin.tn/waves13/

• C-31) F. Benkhaldoun, A. Mahamane, M. Seaïd, "Adaptive cell-centered finite volume method for non-homogeneous diffusion problems: Application to transport in porous media", Finite Volumes for Complex Applications VI, Springer Proceedings in Mathematics, Vol. 4, pp: 79-87 (2011)

• C-30) Y. Alhuri, F. Benkhaldoun, I. Elmahi, D. Ouazar, M. Seaïd, A. Taik, "A comparison between the meshless and the finite volume methods for shallow water flows", Finite Volumes for Complex Applications VI, Vol. 2, pp: 13-20 (2011)

• C-29) F. Benkhaldoun, I. Elmahi, S. Sari, M. Seaïd, "A two-dimensional finite volume solution of dam-break hydraulics over erodible sediment beds", Finite Volumes for Complex Applications VI, Vol. 1, pp: 75-91 (2011)

• C-28) F. Benkhaldoun, K. Mohamed, M. Seaïd, "A Generalized Rusanov method for Saint-Venant Equations with Variable Horizontal Density", Finite Volumes for Complex Applications VI, Vol. 2, pp: 89-96 (2011)

• C-27) F. Benkhaldoun, S. Sari, M. Seaïd, “A highly efficient solver for density-dependent shallow water flows », MAMERN11, May, 23-26, 2011, Saidia, Morocco, pp-203-206, 2011.

• R. Abdalaoui, F. Benkhaldoun, I. Elmahi, M. Seaid, Depth-Averaged RANS Models for Free Surface Flows, MAMERN11, May, 23-26, 2011, Saidia, Morocco, pp-9-12, 2011.

• C-26) F. Benkhaldoun, J. Fort, K. Hassouni, Jan Karel, « Numerical Solution of 2D Streamer Propagation by Finite Volume Method on Unstructured Grid. », 2nd European Seminar on Coupled Problems, June 28-July 2, 2010, Pilsen, Czech Republic 

• C-25) F. Benkhaldoun, A. Mahamane, M. Seaid, « Schémas volumes finis adaptatifs implicites et explicite pour des équations de diffusion non homogènes – Application à un problème d’écoulement eau-pétrole en milieu poreux », 2eme congrés de la Société Marocaine des Mathématiques Aplliquées, June 28-30, 2010, Rabat, Morocco

• C-24) F. Benkhaldoun, S. Sari, M. Seaid, « Numerical Modeling of Transient Flows Involving Erosion and Deposition of Sediments », Fifth European Conference on Computational Fluid Dynamics (ECCOMAS 2010), June 14-17 2010, Lisbon, Portugal.

• C-23) E. Audusse, F. Benkhaldoun, S. Sari, M. Seaid, « A Multilayer System with Mass Exchange for Shallow Water Flows coupling with Moving Bed Equation », Fifth European Conference on Computational Fluid Dynamics (ECCOMAS 2010), June 14-17 2010, Lisbon, Portugal.

• C-22) M. Seaid, F. Benkhaldoun, « Solving the Multilayer Shallow Water Equations using the Finite Volume Modified Method of Characteristic », Fifth European Conference on Computational Fluid Dynamics (ECCOMAS 2010), June 14-17 2010, Lisbon, Portugal.

• C-21) F. Benkhaldoun, A. Mahamane et M. Seaid “A comparative study of some integration schemes for the finite volume solution of heterogeneous diffusion problems”, Topical Problems of Fluid Mechanics, Academy of Science of the Czech Republic, february 10-11, 2010, Prague, IT CAS CR, pp 11-14, ISBN 978-80-87012-25-3

• C-20) F. Benkhaldoun, M. Seaid, «Combined Characteristics and Finite Volume Methods for Dam-break Problems», MAMERN 09, June 8-11, 2009 Pau.

• C-19) J. Halama, F. Benkhaldoun and J. Fort, “VFFC Scheme Based Finite Volume Method for Condensing Steam Flow”, FVCA 5, (2008) pp 479-486, ISBN 978-1-84821-035-6.

• C-18) F. Benkhaldoun, S. Sahmimx , M. Seaid, «Adaptive Numerical Simulation of Sediment Transport in Shalow Water Flows », Seminario International Sobre Matematica Aplicada y su Repercusion en la Sociedad Actual November 17, 2008, Madrid (Invited)

• C-17) F. Benkhaldoun, « Efficiency of Finite Volume Solvers for Inhomogeneous Systems », Topical Problems of Fluid Mechanics, Academy of Science of the Czesh Republic, march 28, 2007, Prague,  (Invited)

• C-16) F. Benkhaldoun, I. Elmahi, M. Seaid, “Application of Mesh-Adaptation for Environmental Water Flow and Pollutant Transport”, MAMERN 07, Granada, Espagne, Juillet 2007.

• C-15) J. Halama, F. Benkhaldoun, “Finite Volume Characteristic Flux Scheme  for Transonic Flow Problems”, Colloquium Fluid Dynamics (2006), Prague,  IT CAS CR, pp 39-42, ISBN 80-87012-01-1

• C-14) K. Mohamed, L. Quivy, F. Benkhaldoun, « Non Homogenous Riemann Solver to simulate two-phase flows », Numerical Simulation of Complex and Multiphase Flows, IGESA. Porquerolles. 18th - 22nd April 2005

• C-13) J. Halama , F. Benkhaldoun, Numerical solution of two two-phase flow  problems, Colloquium Fluid Dynamics (2005), Prague, IT CAS CR, 2005, pp 45-48, ISBN 80-85918-94-3.

• C-12) S. Sahmim, F. Benkhaldoun, F. Alcrudo, A finite volume solver based on matrix sign for non homogeneous systems, FVCA4, Hermes Science Publishing, ISBN 1 905209 48 7, pp 471-482, (2005).

• C-11) F. Benkhaldoun, K. Mohamed, L. Quivy, A Finite Volume two steps flux scheme for 1D and 2D non homogeneous systems, FVCA4, Hermes Science Publishing, ISBN 1 905209 48 7, pp 423-433, (2005).

• C-10) J. Halama, F. Benkhaldoun, 1D and 2D Numerical Solution of Two Phase Flows Using a Dissipative Lax-Wendroff Scheme, FVCA4, Hermes Science Publishing, ISBN 1 905209 48 7, pp 597-607, (2005).

• C-9) S. Sahmim , F. Benkhaldoun, Analyse et Application d’un schéma aux volumes finis dédié au systèmes non homogènes,  actes du Colloque Tendances pour les Applications des Mathématiques, Tunisie, Avril 2005, pp 348-353.

• C-8) F. Benkhaldoun, "Analysis and validation of a new finite volume scheme for conservation laws with source terms", FVCA-3, Hermes-Penton Eds,  pp. 253-260, 2002.

• C-7) F. Alcrudo, F. Benkhaldoun, "The convergence characteristics of some finite volume schemes for the solution of time dependent hyperbolic pdes with singular source term", FVCA-3, Hermes-Penton Eds,  pp. 269-276,, 2002.

• C-6) M. Chakir, F. Benkhaldoun, L. Monthe, D. Ouazar, A. Belghit, "A Nine Point Finite Volume Roe Scheme for Shallow Water Equations Coupled to Pollutant Transport Including Source Terms", First International Symposium on Finite Volumes for Complex Applications, FVCA-1, Rouen, July 15-18, 1996, Pbs. Hermes, pp 581-588.

• C-5) B. E. El Kettani, D. Ouazar, F. Benkhaldoun, J. P. Pecuchet, M. Itmi, "Object Oriented Finite Volume Method for Flood Wave Propagation", First International Symposium on Finite Volumes for Complex Applications, FVCA-1, Rouen, July 15-18, 1996, Pbs Hermes, pp 625-633.

• C-4) F. Benkhaldoun, I. Elmahi, L. Monthe, "Shallow Water Flow Computations Over Initially Dry Areas Using Accurate Upwind Schemes and Non Structured Meshes", First International Conference on Environmental Problems in Coastal Regions, Rio De Janeiro, August, 4-9 1996, Computational Mechanics Publications, pp 305-314.

• C-3) F. Benkhaldoun, A. Dervieux, B. Larrouturou, "Adaptive finite element investigation of two dimensional compressible reacting flow", Numerical and Applied Mathematics, pp 169-174, 12eme congres mondial IMACS, Paris, Juillet, 1988.

• C-2) F. Benkhaldoun, P. Leyland, B. Larrouturou, "Dynanic mesh adaption for unsteady nonlinar phenomena - Application to flame propagation", Numerical grid generation in computational fluid mechanics 88, Sengupta et al. eds., pp. 977-986, Pineridge Press, Swansea, (1988).

• C-1) F. Benkhaldoun, A. Dervieux, G. Fernandez, H. Guillard, B. Larrouturou, "Some investigations of finite-element solutions to stiff combustion problems: Mesh adaption and implicit time stepping", Proceedings of the NATO advanced research workshop on combustion modelling and its applications, Brauner and Schmidt-Lain eds., pp. 393-409, (1987).

10. PhD Supervising :

Twelve PhD already defended:

12) Abdul-Haffar Halassi (25%), in Rabat ENSMR "methods without mesh for numerical simulation of free surface flows", defended on March 21, 2016.

11) Jan Karel (50%), PhD Thesis, Villetaneuse December 2, 2014, "Numerical simulation of 3D Finite Volumes of propagation models and discharges of branching in cold plasmas

10) Saida Sari (100%), PhD Thesis, Villetaneuse July 8, 2013, "Study of a Lagrangian-Eulerian scheme for sediment transport problems in free surface flows

9) Mahamane Amadou (100%), PhD Thesis, Villetaneuse April 9, 2009, "Analysis and Error Estimation in Finite Volumes - Application to Flows in Porous Media and Mesh Adaptation"

8) Mr. Slah Sahmim (100%) PhD Thesis, Villetaneuse June 15, 2005, "A finite volume scheme with sign matrix for inhomogeneous systems"

7) Mohammed Kamel (70%) PhD Thesis, Villetaneuse October 12, 2005, "Numerical simulation with finite volumes of stiff multi-dimensional flows problems"

6) Miss Boutaina Bouzouf (50%) Thesis 3rd cycle, Rabat (2001), "Method of the finite volumes for intrusion of salt water

5) Mr. Imad El Mahi (80%), PhD thesis (Congratulations of the Jury), Rouen on 20 January 1999 "finite volume schemes for the numerical simulation of stiff front problems on adaptive unstructured grids”

4) Miss Naima Bentoudja (30%) PhD Thesis 3rd cycle, Rabat November 16, 1998. "Comparison of numerical methods for transport problems”

3) Melle Bochra Echerif El Kettani (30%), state thesis, Rabat February 14, 1998, "knowledge-based system for modeling of wave propagation”

2) Mr. Luc Monthe (100%) PhD thesis, Rouen July 2, 1997, "Study of hyperbolic partial differential equations, application to the equations of Saint Venant”

1) Mr. Mustapha Chakir (40%), 3rd cycle thesis, Marrakech March 28, 1997, "Numerical Simulation by Finite Volume of a pollutant diffusion-dispersion in a two-dimensional free surface flow."

Four ongoing PhD:

4) Jean-Baptiste Montavon, student of ENS Cachan, (50%, joint supervision with Prague),

beginning in September 2015, "Adaptive 3D implicit finite volumes methods for flows in

nozzles".

3) Amine Hanini (25%), beginning in January 2015 in Rabat ENSMR, "Adaptive finite volume

Methods for problems of Eutrophication"

2) Tarek Ghoudi (80%), Université Paris 13, "A posteriori error estimators and mesh adaptation for coupling of groundwater and free surface flows problems"

1) Imad Kissami (50%), Université Paris 13, "HPC and object oriented programing for the

simulation of problems of fluid dynamics"