ME

Mehmet Ersoy

Professeur
44
Documents
Affiliations actuelles
  • Institut de Mathématiques de Toulon - EA 2134 (IMATH)
  • Université de Toulon (UTLN)
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Publications

Publications

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WETTING AND DRYING TREATMENTS WITH MESH ADAPTATION FOR SHALLOW WATER EQUATIONS USING A RUNGE-KUTTA DISCONTINUOUS GALERKIN METHOD

Camille Poussel , Mehmet Ersoy , Frédéric Golay

International Journal for Numerical Methods in Fluids, 2025, pp.692-712. ⟨10.1002/fld.5365⟩

Article dans une revue hal-04676186v1
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ON THE DERIVATION OF A NEW ONE-DIMENSIONAL MODEL FOR BLOOD FLOWS AND ITS NUMERICAL APPROXIMATION

Yolhan Mannes , Mehmet Ersoy , Ömer Faruk Eker , Aimed Ajroud

Journal of Applied Mathematics and Physics, 2025, pp.3479-3514. ⟨10.4236/jamp.2025.1310198⟩

Article dans une revue hal-04676130v1
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Derivation of the non-linear shallow water equations over unsaturated porous media: a discontinuous galerkin method for coarse-grained beaches

Camille Poussel , Mehmet Ersoy , Frederic Golay , Damien Sous

Asymptotic Analysis, 2025, ⟨10.1177/09217134251332094⟩

Article dans une revue hal-04713029v1
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A NEW TWO-DIMENSIONAL BLOOD FLOW MODEL AND ITS RKDG APPROXIMATION

Yolhan Mannes , Mehmet Ersoy , Ömer Faruk Eker , Aimed Ajroud

Journal of Applied Mathematics and Physics, 2025, pp.3930-3967. ⟨10.4236/jamp.2025.1311220⟩

Article dans une revue hal-04700161v1
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Estimation of optimal penalization parameters and convergence of the non-linear solver for a Richards' equation-based model for variably-saturated groundwater flows based on an IIPG Discontinuous Galerkin method

Camille Poussel , Mehmet Ersoy , Yolhan Mannes , Aimed Ajroud , Frédéric Golay

Journal of Applied Mathematics and Physics, 2024, pp.4083-4127. ⟨10.4236/jamp.2025.1311227⟩

Article dans une revue hal-04704870v1
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A Richards' equation-based model for wave-resolving simulation of variably-saturated beach groundwater flow dynamics

Jean-Baptiste Clément , Damien Sous , Frédéric Bouchette , Frédéric Golay , Mehmet Ersoy

Journal of Hydrology, 2023, 619, pp.129344. ⟨10.1016/j.jhydrol.2023.129344⟩

Article dans une revue hal-04009402v1
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An adaptive strategy for discontinuous Galerkin simulations of Richards’ equation: application to multi-materials dam wetting

Jean-Baptiste Clément , Frederic Golay , Mehmet Ersoy , Damien Sous

Advances in Water Resources, 2021, 151, pp.103897. ⟨10.1016/j.advwatres.2021.103897⟩

Article dans une revue hal-03132113v2
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Generalised Serre-Green-Naghdi equations for open channel and for natural river hydraulics

Mohamed Ali Debyaoui , Mehmet Ersoy

Asymptotic Analysis, In press, ⟨10.3233/ASY-201647⟩

Article dans une revue hal-02444355v1
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A Saint-Venant Model for Overland Flows with Precipitation and Recharge

Mehmet Ersoy , Omar Lakkis , Philip Townsend

Mathematical and computational applications, 2020, ⟨10.3390/mca26010001⟩

Article dans une revue hal-01347163v1
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Wave-driven Groundwater Flows in Sandy Beaches: A Richards Equation-based Model

Jean-Baptiste Clément , Damien Sous , Frederic Golay , Mehmet Ersoy

Journal of Coastal Research, 2020, Proceedings from the 16th International Coastal Symposium, Special issue 95, pp.1047-1051. ⟨10.2112/SI95-204.1⟩

Article dans une revue hal-02899299v1
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Dimension reduction for compressible pipe flows including friction

Mehmet Ersoy

Asymptotic Analysis, 2016, 98 (3), pp.237-255. ⟨10.3233/ASY-161367⟩

Article dans une revue hal-00908965v2
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Numerical investigation of BB-AMR scheme using entropy production as refinement criterion

Thomas Altazin , Mehmet Ersoy , Frederic Golay , Damien Sous , Lyudmyla Yushchenko

International Journal of Computational Fluid Dynamics, 2016, ⟨10.1080/10618562.2016.1194977⟩

Article dans une revue hal-01330654v1
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Entropy production and mesh refinement – Application to wave breaking

Lyudmyla Yushchenko , Frederic Golay , Mehmet Ersoy

Mechanics & Industry, 2015, 16 (3), pp.5. ⟨10.1051/meca/2015003⟩

Article dans une revue hal-01280350v1
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Block-based adaptive mesh refinement scheme using numerical density of entropy production for three-dimensional two-fluid flows

Frederic Golay , Mehmet Ersoy , Lyudmyla Yushchenko , Damien Sous

International Journal of Computational Fluid Dynamics, 2015, ⟨10.1080/10618562.2015.1012161⟩

Article dans une revue hal-01226163v2
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Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Appraoch

Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

Numerische Mathematik, 2014, 128 (2), pp.217-263. ⟨10.1007/s00211-014-0611-7⟩

Article dans une revue hal-00606676v2
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Air entrainment in transient flows in closed water pipes: a two-layer approach.

Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (2), pp.507-538. ⟨10.1051/m2an/2012036⟩

Article dans une revue hal-00421402v2
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Adaptive multi scale scheme based on numerical density of entropy production for conservation laws

Mehmet Ersoy , Frederic Golay , Lyudmyla Yushchenko

Central European Journal of Mathematics, 2013, 11 (8), pp.1392-1415. ⟨10.2478/s11533-013-0252-6⟩

Article dans une revue hal-01338176v1
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Sensitivity analysis of 1-d steady forced scalar conservation laws

Mehmet Ersoy , Eduard Feireisl , Enrique Zuazua

Journal of Differential Equations, 2013, 254 (9), pp.3817-3834. ⟨10.1016/j.jde.2013.01.041⟩

Article dans une revue hal-01292865v1
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Existence of a global weak solution to one model of Compressible Primitive Equations

Mehmet Ersoy , Timack Ngom

Comptes Rendus. Mathématique, 2012, 350 (1), pp.379-382. ⟨10.1016/j.crma.2012.04.013⟩

Article dans une revue hal-00487370v1
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A mathematical model for unsteady mixed flows in closed water pipes

Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

Science China Mathematics, 2012, 55 (2), pp.221-244. ⟨10.1007/s11425-011-4353-z⟩

Article dans une revue hal-00599656v1
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A kinetic scheme for transient mixed flows in non uniform closed pipes: a global manner to upwind all the source terms

Christian Bourdarias , Stéphane Gerbi , Mehmet Ersoy

Journal of Scientific Computing, 2011, 48 (1-3), pp. 89-104. ⟨10.1007/s10915-010-9456-0⟩

Article dans une revue hal-00434321v2
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Compressible primitive equation: formal derivation and stability of weak solutions

Mehmet Ersoy , Timack Ngom , Mamadou Sy

Nonlinearity, 2011, 24 (1), ⟨10.1088/0951-7715/24/1/004⟩

Article dans une revue hal-00488398v1
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A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme

Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

International Journal on Finite Volumes, 2009, 6 (2), pp.1-47

Article dans une revue hal-00342745v3
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A kinetic scheme for pressurized flows in non uniform pipes

Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

Monografias de la Real Academia de Ciencias de Zaragoza, 2009, 31, pp.1-20

Article dans une revue hal-00343021v2

Runge-Kutta Discontinuous Galerkin Method Applied to Shallow Water Equations

Camille Poussel , Mehmet Ersoy , Frederic Golay , Yolhan Mannes

Topical Problems of Fluid Mechanics 2023, Feb 2023, Prague (République Tchèque), Czech Republic. pp.152-159, ⟨10.14311/TPFM.2023.021⟩

Communication dans un congrès hal-04355984v1
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Adaptive Discontinuous Galerkin Method for Richards Equation

Jean-Baptiste Clément , Frederic Golay , Mehmet Ersoy , Damien Sous

Topical Problems of Fluid Mechanics 2020, Feb 2020, Prague, Czech Republic. pp.27-34, ⟨10.14311/TPFM.2020.004⟩

Communication dans un congrès hal-02507326v1
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Discontinuous Galerkin Method for Steady-State Richards Equation

Jean-Baptiste Clément , Mehmet Ersoy , Frederic Golay , Damien Sous

Topical Problems of Fluid Mechanics 2019, Feb 2019, Prague, Czech Republic. pp.53-62, ⟨10.14311/TPFM.2019.008⟩

Communication dans un congrès hal-02075109v1
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Entropy production and mesh refinement – application to wave breaking

Lyudmyla Yushchenko , Frederic Golay , Mehmet Ersoy

21ème Congrès Français de Mécanique, Aug 2013, Bordeaux, France. ⟨10.1051/meca/2015003⟩

Communication dans un congrès hal-01281002v1
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Dimension reduction for incompressible pipe and open channel flow including friction

Mehmet Ersoy

Conference Applications of Mathematics 2015, in honor of the 90th birthday of Ivo Babuška and 85th birthday of Milan Práger and Emil Vitásek , J. Brandts and S. Korotov and M. Křížek and K. Segeth and J. Ŝístek and T. Vejchodský, Nov 2015, Institute of Mathematics CAS, Prague, France. pp.17-33

Communication dans un congrès hal-00908961v2
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Entropy production as a mesh refinement criterion: application to wave breaking

Frederic Golay , Mehmet Ersoy , Lyudmyla Yushchenko

Topical Problems of Fluid Mechanics, Feb 2013, Prague, Czech Republic

Communication dans un congrès hal-01281006v1
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A Generalised Serre-Green-Naghdi equations for variable rectangular open channel hydraulics and its finite volume approximation

Mohamed Ali Debyaoui , Mehmet Ersoy

Muñoz-Ruiz M.L., Parés C., Russo G. (eds) Recent Advances in Numerical Methods for Hyperbolic PDE Systems. SEMA SIMAI Springer Series, vol 28. Springer, 2021, 978-3-030-72850-2. ⟨10.1007/978-3-030-72850-2_11⟩

Chapitre d'ouvrage hal-02548837v2
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Adaptive mesh refinement method. Part 1: Automatic thresholding based on a distribution function

Kévin Pons , Mehmet Ersoy

Université de Toulon (UTLN), FRA.; IMATH. 2019

Rapport (rapport de recherche) hal-01330679v2
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Adaptive mesh refinement method. Part 2: Application to tsunamis propagation

Kévin Pons , Mehmet Ersoy , Frederic Golay , Richard Marcer

Université de Toulon (UTLN), FRA.; IMATH. 2019

Rapport (rapport de recherche) hal-01330680v3
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Consistency of the kinetic scheme with reflections

Mehmet Ersoy , Chiara Simeoni

[Research Report] IMATH; Université de Toulon (UTLN), FRA. 2013

Rapport (rapport de recherche) hal-00918774v1
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Adaptive scheme based on entropy production: robustness through severe test cases for hyperbolic conservation laws

Mehmet Ersoy , Frederic Golay , Lyudmyla Yushchenko

[Research Report] Imath; Université de Toulon (UTLN), FRA. 2013

Rapport (rapport de recherche) hal-00918773v1
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A Construction of Biorthogonal Wavelets With a Compact Operator

Mehmet Ersoy

[Research Report] Université de Savoie. 2009

Rapport (rapport de recherche) hal-00342457v2