Fayssal Benkhaldoun Publications

03/05/2021


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https://scholar.google.com/Fayssal_Benkhaldoun

ResearchGate
https://www.researchgate.net/profile/Fayssal-Benkhaldoun


Recent and principal publications:


Aziz, Madrane, Fayssal Benkhaldoun (2022), Entropy Stable Discontinuous Galerkin Finite Element Method with Multi-Dimensional Slope Limitation for Euler Equations, accepted in Moroccan Journal of Pure and Applied Analysis.

Souhail Maazioui, Abderrahim Maazouz, Fayssal Benkhaldoun, Driss Ouazar, Khalid Lamnawar (2021) "Rheological Characterization of a Concentrated Phosphate Slurry", Fluids 2021, 6(5), 178; https://doi.org/10.3390/fluids6050178.

F. Benkhaldoun, A. Bradji, (2021) "Two new error estimates of a fully discrete primal-dual mixed finite element scheme for parabolic equations in any space dimension.", Results in Mathematics, 76, 182 (2021). https://doi.org/10.1007/s00025-021-01489-0
 F. Benkhaldoun, A. Bradji, (2020) "A Second Order Time Accurate Finite Volume Scheme for the Time-Fractional Diffusion Wave Equation on General Nonconforming Meshes", Lecture Notes in Computer Science, 2020, 11958 LNCS, pp. 95–104, DOI: 10.1007/978-3-030-43651-3_28
Tarik Chakour, Fayssal Benkhaldoun, (2020) "Slurry Pipeline for fluid transients in pressurized conduits", International Journal of Mechanics, ISSN: 1998-4448, V. 14. DOI: 10.46300/9104.2020.14.1.
Imad Kissami, Mohammed Seaid, Fayssal Benkhaldoun, (2020) "Numerical assessment of criteria for mesh adaptation in the finite volume solution of shallow water equations", Advances in Applied Mathematics and Mechanics, 12, pp. 503-526, DOI: 10.4208/aamm.OA-2019-0011.
J. Karel, D. Trdlicka, F. Benkhaldoun, I. Kissami, J-B. Montavon, K. Hassouni, J. Zs. Mezei, (2019) "Finite volume methods for numerical simulation of the discharge motion described by different physical models", Advances in Computational Mathematics 45(10), pp 2163–2189, DOI: 10.1007/s10444-019-09706-9
Amin Rafiei Matthias Bollhöfer, Fayssal Benkhaldoun, (2019) "A block version of left-looking AINV preconditioner with one by one or two by two block pivots", Applied Mathematics and Computation 350:366-385, DOI: 10.1016/j.amc.2019.01.012.
Zineb Tabbakh, Mohammed Seaid, Rachid Ellaia, Driss Ouazar,Fayssal Benkhaldoun, (2019) "A local radial basis function projection method for incompressible flows in water eutrophication", Engineering Analysis with Boundary Elements 106:528-540, DOI: 10.1016/j.enganabound.2019.06.004.
Saida Sari, Thomas Rowan, Mohammed Seaid, Fayssal Benkhaldoun, (2019) "Simulation of Three-Dimensional Free-SurfaceFlows Using Two-Dimensional Multilayer Shallow Water Equations", Communications in Computational Physics 27(5), pp. 1413-1442, DOI: 10.4208/cicp.OA-2019-0036.
Fayssal Benkhaldoun, Mohammed Seaid, Amadou Mahamane,
(2018) "A posteriori error estimates for mixed finite volume solution of elliptic boundary value problems", Moroccan Journal of Pure and Applied Analysis, pp: 199 - 217, DOI: 10.1515/mjpaa-2017-0016.
Fayssal Benkhaldoun, Christophe Cerin, Imad Kissami, Walid Saad, (2017) "Challenges of Translating HPC Codes to Workflows for Heterogeneous and Dynamic Environments", Conference: International Conference on High Performance Computing & Simulation (HPCS), DOI: 10.1109/HPCS.2017.130.
F. Benkhaldoun, A. Halassi, D. Ouazar, M. Seaid and A. Taik, (2017) "A stabilized meshless method for time-dependent convection-dominated flow problems", Mathematics and Computers in Simulation 137, 159-176.
Imad Kissami, Christophe Cerin, Fayssal Benkhaldoun and Gilles Scarella, (2016), "Parallelization of the ADAPT 3D Streamer Propagation Code", in 19th IEEE Intl Conference on Computational Science and Engineering, V. 1, pp: 242-245, DOI : 10.1109/CSE-EUC-DCABES.2016.191
K. Mohammed, F. Benkhaldoun, (2016), "A modified Rusanov scheme for shallow water equations with topography and two phase flows", The European Physical Journal Plus, 131: 207. doi:10.1140/epjp/i2016-16207-3
F. Benkhaldoun, A. Halassi, D. Ouazar, M. Seaid and A. Taik, (2016), "A stabilized meshless method for time-dependent convection-dominated flow problems", Mathematics and Computers in Simulation , in press (http://dx.doi.org/10.1016/j.matcom.2016.11.003)
Imad Kissami , Christophe Cérin, Fayssal Benkhaldoun, Gilles Scarella, (2016), "Towards Parallel CFD Computation for the ADAPT Framework", Lecture Notes in Computer Science,  Algorithms and Architectures for Parallel Processing, Volume 10048, pp 374-387

F. Benkhaldoun, A. Halassi, D. Ouazar, M. Seaid and A. Taik, "Slope limiters for radial basis functions applied to conservation laws with discontinuous flux function", (2016), Engineering Analysis with Boundary Elements, Volume 66, May 2016, Pages 49–65
F. Benkhaldoun, I. Elmahi, A. Moumna, M. Seaid « A non-homogeneous Riemann solver for shallow water equations in porous media », (2016), Applicable Ananlysis, Volume 95, 2016 - Issue 10, Pages 2181-2202
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), Int. J. Num. Meth. Fluids, Volume 80, Issue 1, 10 January 2016, Pages: 3–22
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
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

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 », (2015) accepted in  MAMERN VI, http://mamern15.sciencesconf.org/
F. Benkhaldoun, A. Halassi, D. Ouazar, M. Seaid, A. Taik, “A stabilized meshless method for time-dependent convection-dominated flow problems », (2015) accepted in MAMERN VI, http://mamern15.sciencesconf.org/
Benkhaldoun, F.; Fort, J.; Hassouni, K.; Karel, J.; Scarella, G.; Trdlicka, D., A Full 3D dynamically adaptive unstructured grid mesh 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
R. Abdalaoui, F. Benkhaldoun, I. Elmahi, M. Seaid
,
A Finite Volume Method for Large-Eddy Simulation of ShallowWater Equations, FVCA VII, (2014), Springer Proceedings in Mathematics, Volume 78, 2014, pp 741-748.
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

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

F. Benkhaldoun, S. Sari, M. Seaid, "A simple multi-layer finite volume solver for density-driven shallow water flows", Mathematics and Computers in Simulation, (2013), Volume 99, May 2014, Pages 170–189,  http://dx.doi.org/doi:10.1016/j.matcom.2013.04.016

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); 72:967–993, DOI: 10.1002/fld.3771                                                                   

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

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

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

F. Benkhaldoun, S. Daoudi, I. Elmahi and M. Zenasni, Numerical Computations of Pollutant Transport in the Nador Lagoon,  Int. J. Math. Stat.,Vol. 8, n° 11, (2011), 1-8.
E. Audusse, F. Benkhaldoun, J. Sainte-Marie,  M. Seaid, "Multilayer Saint-Venant Equations over Movable Beds",  Discrete and Continuous Dynamical Systems  - Series B (DCDS-B). Vol 15, pp:917-934, (2011).
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).

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).

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., V 199, Issues 49-52, pp 3324-3335, http://dx.doi.org/10.1016/j.cma.2010.07.003
J. Halama, F. Benkhaldoun, J. Fort, Numerical modeling of Two-Phase transonic Flow", Mathematics and Computers in Simulation., 80 (2010) 1624–1635.

F. Benkhaldoun, M. Seaid, A simple finite volume method for the shallow water equations, J. Comput. Appl. Math. 234 (2010) 58-72, doi:10.1016/j.cam.2009.12.005.

F. Benkhaldoun, S. Sahmim, M. Seaid, "A two-dimensional finite volume morphodynamic model on unstructured triangular grids", (2010), Int. J. Num. Meth. Fluids, DOI: 10.1002/fld.2129", Volume 63, Issue 11, pages 1296–1327.
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 Math. (3) 20 (2009), 85--103.
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, Vol. 31, No. 4, pp. 2866–2889.
F. Benkhaldoun, I. Elmahi, M. Seaid, “Well-balanced finite volume schemes for pollutant transport on unstructured meshes”, J. Comput. Phys , Volume 226, Issue 1, (2007), pp 180-203.

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”, J. Comput. Phys, Volume 226, Issue 2, (2007), pp 1753-1783.

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

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.

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).

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).


Submitted papers






All publications: 

Papers in International Journals


63) Souhail Maazioui, Abderrahim Maazouz, Fayssal Benkhaldoun, Driss Ouazar, Khalid Lamnawar (2021) "Rheological Characterization of a Concentrated Phosphate Slurry", Fluids 2021, 6(5), 178; https://doi.org/10.3390/fluids6050178.

62) F. Benkhaldoun, A. Bradji, (2021) "Two new error estimates of a fully discrete primal-dual mixed finite element scheme for parabolic equations in any space dimension.", Accepted in Results in Mathematics.
61) F. Benkhaldoun, A. Bradji, (2020) "A Second Order Time Accurate Finite Volume Scheme for the Time-Fractional Diffusion Wave Equation on General Nonconforming Meshes", Lecture Notes in Computer Science, 2020, 11958 LNCS, pp. 95–104, DOI: 10.1007/978-3-030-43651-3_28 60) Tarik Chahour, Fayssal Benkhaldoun, (2020) "Slurry Pipeline for fluid transients in pressurized conduits", International Journal of Mechanics, ISSN: 1998-4448, V. 14. DOI: 10.46300/9104.2020.14.1.
59) Imad Kissami, Mohammed Seaid, Fayssal Benkhaldoun, (2020) "Numerical assessment of criteria for mesh adaptation in the finite volume solution of shallow water equations", Advances in Applied Mathematics and Mechanics, 12, pp. 503-526, DOI: 10.4208/aamm.OA-2019-0011.
58) J. Karel, D. Trdlicka, F. Benkhaldoun, I. Kissami, J-B. Montavon, K. Hassouni, J. Zs. Mezei, (2019) "Finite volume methods for numerical simulation of the discharge motion described by different physical models", Advances in Computational Mathematics 45(10), pp 2163–2189, DOI: 10.1007/s10444-019-09706-9
57) Amin Rafiei Matthias Bollhöfer, Fayssal Benkhaldoun, (2019) "A block version of left-looking AINV preconditioner with one by one or two by two block pivots", Applied Mathematics and Computation 350:366-385, DOI: 10.1016/j.amc.2019.01.012.
56) Zineb Tabbakh, Mohammed Seaid, Rachid Ellaia, Driss Ouazar,Fayssal Benkhaldoun, (2019) "A local radial basis function projection method for incompressible flows in water eutrophication", Engineering Analysis with Boundary Elements 106:528-540, DOI: 10.1016/j.enganabound.2019.06.004.
55) Saida Sari, Thomas Rowan, Mohammed Seaid, Fayssal Benkhaldoun, (2019) "Simulation of Three-Dimensional Free-SurfaceFlows Using Two-Dimensional Multilayer Shallow Water Equations", Communications in Computational Physics 27(5), pp. 1413-1442, DOI: 10.4208/cicp.OA-2019-0036.
54) Fayssal Benkhaldoun, Mohammed Seaid, Amadou Mahamane, (2018) "A posteriori error estimates for mixed finite volume solution of elliptic boundary value problems", Moroccan Journal of Pure and Applied Analysis, pp: 199 - 217, DOI: 10.1515/mjpaa-2017-0016.
53) Fayssal Benkhaldoun, Christophe Cerin, Imad Kissami, Walid Saad, (2017) "Challenges of Translating HPC Codes to Workflows for Heterogeneous and Dynamic Environments", Conference: International Conference on High Performance Computing & Simulation (HPCS), DOI: 10.1109/HPCS.2017.130.
52) F. Benkhaldoun, A. Halassi, D. Ouazar, M. Seaid and A. Taik, (2017) "A stabilized meshless method for time-dependent convection-dominated flow problems", Mathematics and Computers in Simulation 137, 159-176.
51) Imad Kissami, Christophe Cerin, Fayssal Benkhaldoun and Gilles Scarella, (2016), "Parallelization of the ADAPT 3D Streamer Propagation Code", in 19th IEEE Intl Conference on Computational Science and Engineering, V. 1, pp: 242-245, DOI : 10.1109/CSE-EUC-DCABES.2016.191
50) K. Mohammed, F. Benkhaldoun, (2016), "A modified Rusanov scheme for shallow water equations with topography and two phase flows", The European Physical Journal Plus, 131: 207. doi:10.1140/epjp/i2016-16207-3
49) F. Benkhaldoun, A. Halassi, D. Ouazar, M. Seaid and A. Taik, "A stabilized meshless method for time-dependent convection-dominated flow problems" (2016), Mathematics and Computers in Simulation , in press (http://dx.doi.org/10.1016/j.matcom.2016.11.003)
48) Imad Kissami , Christophe Cérin, Fayssal Benkhaldoun, Gilles Scarella, (2016), "Towards Parallel CFD Computation for the ADAPT Framework", Lecture Notes in Computer Science, Algorithms and Architectures for Parallel Processing, Volume 10048, pp 374-387

47) F. Benkhaldoun, A. Halassi, D. Ouazar, M. Seaid and A. Taik, "Slope limiters for radial basis functions applied to conservation laws with discontinuous flux function", (2016), Engineering Analysis with Boundary Elements, Volume 66, May 2016, Pages 49–65

46) F. Benkhaldoun, I. Elmahi, A. Moumna, M. Seaid « A non-homogeneous Riemann solver for shallow water equations in porous media », (2016), Applicable Ananlysis, Volume 95, 2016 - Issue 10, Pages 2181-2202 (http://dx.doi.org/10.1080/00036811.2015.1067304).
45) 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), Int. J. Num. Meth. Fluids, Volume 80, Issue 1, 10 January 2016, Pages: 3–22

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
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
42) Benkhaldoun, F.; Fort, J.; Hassouni, K.; Karel, J.; Scarella, G.; Trdlicka, D., A Full 3D dynamically adaptive unstructured grid mesh 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

41) 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., Volume 272, 1, Pages 23–45, http://dx.doi.org/10.1016/j.jcp.2014.04.026
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

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, (2013), Volume 99, May 2014, Pages 170–189, http://dx.doi.org/doi:10.1016/j.matcom.2013.04.016

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); 72:967–993, DOI: 10.1002/fld.3771

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. 

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

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

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 

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

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, doi: 10.1016/j.matcom.2010.12.025, (2011).

31) E. Audusse, F. Benkhaldoun, J. Sainte-Marie,  M. Seaid, "Multilayer Saint-Venant Equations over Movable Beds",  Discrete and Continuous Dynamical Systems  - Series B (DCDS-B). Vol 15, pp:917-934, (2011).
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).
29) 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).
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).
27) 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).
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.
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., V 199, Issues 49-52, pp 3324-3335, http://dx.doi.org/10.1016/j.cma.2010.07.003
24) J. Halama, F. Benkhaldoun, J. Fort, Numerical modeling of Two-Phase transonic Flow", Mathematics and Computers in Simulation., 80 (2010) 1624–1635.
23) S. Daoudi, I. Elmahi, F. Benkhaldoun, M. Zenasni, "Numerical simulation of pollutant transport in shallow water flows: Application to Nador lagoon", Phys. Chem. News, Vol. 56, pp 68-75, (2010).

22) F. Benkhaldoun, M. Seaid, A simple finite volume method for the shallow water equations, J. Comput. Appl. Math. 234 (2010) 58-72, doi:10.1016/j.cam.2009.12.005.

21) F. Benkhaldoun, S. Sahmim, M. Seaid, "A two-dimensional finite volume morphodynamic model on unstructured triangular grids", (2010), Int. J. Num. Meth. Fluids, DOI: 10.1002/fld.2129", Volume 63, Issue 11, pages 1296–1327.
20) 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 (2010),  "Phys. Chem. News", Vol. 53, pp 119-128.
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.
18) F. Benkhaldou, S. Sahmim, M. Seaid, "Solution of the Sediment Transport Equations Using A Finite Volume Method Based on Sign Matrix", (2009), SIAM J. Sci. Comp, Vol. 31, No. 4, pp. 2866–2889.

17) F. Benkhaldoun, I. Elmahi, M. Seaid, Application of Mesh-Adaptation for Pollutant Transport by Water Flow”, Mathematics and Computers in Simulation79, (2009), 3415–3423doi:10.1016/j.matcom.2009.04.007.

16) F. Boushaba, I. Elmahi F. Benkhaldoun and  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, doi:10.1142/S0219876208001522..

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

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”, J. Comput. Phys., Volume 226, Issue 2, (2007), pp 1753-1783.

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

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

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.

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).

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).

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.

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.

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).

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.

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

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.

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


Peer Reviewed Contributions to International Conferences




36) 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 », (2015) accepted in  MAMERN VI, http://mamern15.sciencesconf.org/
35) F. Benkhaldoun, A. Halassi, D. Ouazar, M. Seaid, A. Taik, “A stabilized meshless method for time-dependent convection-dominated flow problems », (2015) accepted in MAMERN VI, http://mamern15.sciencesconf.org/

34) R. Abdalaoui, F. Benkhaldoun, I. Elmahi, M. Seaid, A Finite Volume Method for Large-Eddy Simulation of ShallowWater Equations, FVCA VII, (2014),  Springer Proceedings in Mathematics, Volume 78, 2014, pp 741-748.


33) 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, Vol. 2, pp: 79-87 (2011)
32) Y. Alhuri, F. Benkhaldoun, I. Elmahi, D. Ouazar, M. Seaïd, "
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)
31) 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)
30) 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)

29) F. Benkhaldoun, S. Sari, M. Seaïd, A highly efficient solver for density-dependent shallow water flows, MAMERN'11, pp-203-206, 2011.

28) 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.

27) 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
26) 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
25) 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.
24) 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.
23) 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.
22) 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 Czesh Republic, february 10-11, 2010, Prague,  IT CAS CR, pp 11-14, ISBN 978-80-87012-25-3
21) F. Benkhaldoun, M. Seaid, « Combined Characteristics and Finite Volume Methods for Dam-break Problems », MAMERN 09, June 8-11, 2009 Pau.
20) C-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.
19) 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)
18) 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) 
17) F. Benkhaldoun, I. Elmahi, M. Seaid,  “Application of Mesh-Adaptation for Environmental Water Flow and Pollutant Transport”, MAMERN 07, Granada, Espagne, Juillet 2007.
16) 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

15) F. Benkhaldoun, S. Daoudi, I. Elmahi, M. Zenasni, "A Non Homogeneous Riemann Solver for contaminant transport in shallow water flows: Application to Nador lagoon", Premières Journées Internatinales de Mathématiques Appliquées, Safi, 25-27 Juin 2008.

14) J. Halama, F. Benkhaldoun, “Finite Volume Characteristic Flux Scheme  for Transonic Flow Problems”, Colloquium FLUID DYNAMICS 2006, Prague,  IT CAS CR,  2006, pp 39-42, ISBN 80-87012-01-1

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.

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).

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).

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).

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.

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.

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.

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, Rouen, July 15-18, 1996, Pbs. Hermes, pp 581-588.

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, Rouen, July 15-18, 1996, Pbs Hermes, pp 625-633.

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.

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.

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).

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).

 

Other conferences


23) F. Benkhaldoun, S. Sari, M. Seaïd,  "An Efficient Solver for Density-Dependent Multilayer Shallow Water Model", Numerical Approximations of Hyperbolic Systems with Source Terms and Applications, September 19 - 23, 2011, Roscoff, Bretagne, France
22) F. Benkhaldoun, A. Mahamane,  “Finite Volume schemes for two-phase flows in porous media - Comparisons of some schemes for elliptic operator”, Exposé à Prague en octobre 2007.

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

20) F. Benkhaldoun, “Behaviour of SRNH scheme for Shallow Water Equations with variable bathymetry”, Séminaire du CMLA, Juin 2007.

19) F. Benkhaldoun , « Un schéma Volumes Finis avec matrice signe pour systèmes non homogènes », Exposé à l’Université de Marrakech, Mai 2007.

18) F. Alcrudo, F. Benkhaldoun and S. Sahmim, “Efficiency of finite volume solvers for inhomogeneous systems”, Marrakech world conference on differential equations and applications, Juin 2006.

17) F. Benkhaldoun, S. Sahmim, “SRNH scheme applied to the simulation of two phase problems”, Colloquium Topical Problems of Fluid Dynamics, Prague, Février 2006.

16) F. Benkhaldoun, S. Sahmim, “A finite volume scheme using matrix sign applied to the simulation of non-homogeneous system”, Trends in Numerical and physical modelling for industrial multiphase flows, Cargese, Septembre 2005.

15) F. Benkhaldoun,  "Schémas numériques efficaces pour des systèmes non homogènes", conférence plénière, congrès Tendances pour les Applications des Mathématiques, Rabat, 16 au 18 avril 2003.

14) F. Benkhaldoun, I. Elmahi, A. Hakim, S. Raghay, Une méthode de volume fini pour la simulation numérique de l'inflammation d'une gouttelette, pp.25-27, 4ème  Journées d'Analyse non linéaire de l'Université Cadi Ayyad, Avril 1999, FSTG.

13) F. Benkhaldoun, L. Monthe, I. Elmahi, "A splitting finite volume Roe scheme for shallow water equations with source terms", Proc. CADAM Wallingford meeting, March, 2-3, 1998, Wallingford, UK.

12) N. Bentoudja, D. Ouazar, F. Benkhaldoun, S. Sorek, D. Esselaoui, "Application de la MEL pour la simulation numerique de la pollution des nappes aquiferes", 6e Colloque Maghrebin sur les Modeles Numeriques de l'Ingenieur (C2MNI6), 24-26 Novembre, Tunis 1998.

11) F. Benkhaldoun, R. Borghi, I. Elmahi, "Numerical simulations of droplet ignition and combustion ", presented at the Seventh International Conference on Numerical Combustion, York, UK, 30/3-1/4, 1998.

10) F. Benkhaldoun, I. Elmahi, A. Hakim, S. Raghay, A finite volume computation of droplet burning, pp.90-91, 5eme JANO, Kenitra, 28-30 Avril 1998.

9) N. Bentoudja, D. Ouazar, F. Benkhaldoun, S. Sorek, D. Esselaoui, "Numerical Experiments and Comparisons for Solving 1-D Transport Equations", Proc of the fourth International Conference on Computer Methods and Water Resources, CMWR 97, Byblos, Lebanon, 1997.

8) E. El Kettani, D. Ouazar, F. Benkhaldoun, J. P. Pécuchet, M. Itmi, "Data management for an object-oriented fnite volume dam-break model" Third International Conference on Computer Methods and Water Resources, Beirut, September 26-28, 1995, Computational Mechanics Publications, pp 175-182.

7) F. Benkhaldoun, L. Monthe, M. Chakir, D. Ouazar, "A nine point finite volume Roe Scheme for Saint Venant equations", Third International Conference on Computer Methods and Water Resources, Beirut, September 26-28, 1995, Computational Mechanics Publications.

6) F. Benkhaldoun, A. Chalabi, "Schema Volumes finis - Caracteristiques pour probleme de transport avec terme source", 2nd International Conference on Differential Equations, 16-20 Juin, 1995, Marrakech, Maroc.

5) F. Benkhaldoun, L. Monthe, "An adaptative nine-point finite volume Roe scheme for two-Dimensional Saint-Venant equations", Specialty conference on Modelling of flood propagation over initially dry areas, Milan, ENEL-DSR-CRIS, 29 Jun 1 Jul 1994.

4) F. Benkhaldoun, "Un schéma en volumes finis pour une équation de transport avec termes sources", 25eme congrès national d'analyse numérique, 24-28 Mai 1993, Giens, France.

3) F. Benkhaldoun, A. Dervieux, H. Guillard, B. Larrouturou, "Calcul d'écoulements réactifs avec flammes minces", Colloque CNRS, 'Méthodes numériques performantes et phénomènes complexes en mécanique des fluides', NICE, (1987).

2) F. Benkhaldoun and B. Larrouturou, "Adaptive calculations of wrinkled flames", Sixième colloque international de simulation d'écoulements par éléments finis. Antibes, (1986).

1) F. Benkhaldoun and B. Larrouturou, "Simulations numeriques adaptatives de flammes plissées", XIX Congrès d'analyse numérique , Port Barcares, (1986).-

 

Spring and Summer Schools

 

2) S. Sahmim, F. Benkhaldoun

“NHRS scheme and Matrix sign applied to non homogeneous systems”, Ecole de printemps, Numerical Simulation of Complex and Multiphase Flows, IGESA Porquerolles, 18-22 Avril 2005.

1) K. Mohamed, L. Quivy, F. Benkhaldoun

“A Non Homogenous Riemann Solver to simulate two-phase flows”, ”, Ecole de printemps, Numerical Simulation of Complex and Multiphase Flows, IGESA, Porquerolles, 18-22 Avril 2005.

 

 

European Concerted Action (Cadam)

 

1) F. Benkhaldoun, L. Monthe, I. Elmahi, "A splitting Finite volume Roe schemes for Shallow Water equations with source terms", European Commission, Science Research Development, M. Morris, J.C. Galand and P. Balabanis Editors, (1999), pp 63-88.

 

Internal Reports

 

10) F. Benkhaldoun, R. Borghi, I. Elmahi, A. Hakim, S. Raghay, "An adaptive and object oriented finite volume method in laminar combustion of a drop", Rapport de recherche du LMI, INSA de Rouen, Juillet 2000.

9) N. Bentoudja, D. Ouazar, F. Benkhaldoun, S. Sorek, D. Esselaoui, "some numerical experiments and comparisons for solving 1-D transport equations", Rapport de recherche du LASH, EMI de Rabat, Juillet 1999.

8) F. Benkhaldoun, L. Monthe, "Analyse de schémas d'ordre 2 pour lois de conservation scalaires - Schema Runge-Kutta 2 - MUSCL",  Rapport de recherche du LMI, INSA de Rouen, Juillet 1998.

7) B. E. El Kettani, D. Ouazar, F. Benkhaldoun, "Object-Oriented Finite Volume Dam-Break Flood Wave Model: Part 1: Algorithmic Module", Rapport de recherche du LASH, EMI de Rabat, Juillet 1998.

6) F. Benkhaldoun, L. Monthe, "Analyse d'un schema fractionne pour lois de conservation avec termes sources - Application aux equations de Saint Venant",  Rapport de recherche du LMI, INSA de Rouen, Juillet 1998.

5) L. Monthe, K. El Harrouni, F. Benkhaldoun, D. Ouazar, "Parameter identification in Shallow water flows with finite volumes and genetic algorithms" , Rapport de recherche du LASH, EMI de Rabat, Juillet 1997.

4) F. Benkhaldoun, A. Chalabi, "Characteristic based Scheme for conservation laws with source terms", Rapport interne N. 95.13 de l'universite Paul Sabatier de Toulouse, Juillet 1995.

3) P. Leyland, F. Benkhaldoun, N. Maman, B . Larrouturou, "Dynamica mesh adaption criteria for accurate capturing of stiff phenomena in combustion", Rapport de recherche INRIA, N 1876, Avril 1993.

2) F. Benkhaldoun, T. Fernandez, B. Larrouturou, P. Leyland, ''A dynamical adaptive method based on local refinement and unrefinement for triangular finit-element meshes: Preliminary results", Rapport de recherche INRIA, N 1271, Juillet 1990.

1) F. Benkhaldoun, J. P. Chabard, G. Pot, "Résolution par volumes finis de l'étape de transport pour des problèmes d'écoulements turbulents incompressibles", Rapport EDF HE-41/89 25, Sep. 1989.