ME

Mehmet Ersoy

Professeur
39
Documents
Affiliations actuelles
  • Institut de Mathématiques de Toulon - EA 2134 (IMATH)
  • Université de Toulon (UTLN)
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Contact

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Publications

Publications

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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-04009402 v1
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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-03132113 v2
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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-02899299 v1
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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-02444355 v1
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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-01347163 v1
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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-00908965 v2
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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-01330654 v1
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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-01226163 v2
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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-01280350 v1
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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-00606676 v2
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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-01292865 v1
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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-00421402 v2
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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-01338176 v1
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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-00599656 v1
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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-00487370 v1
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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-00488398 v1
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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-00434321 v2
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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-00342745 v3
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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-00343021 v2
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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-02507326 v1
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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-02075109 v1
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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-00908961 v2
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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-01281002 v1
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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-01281006 v1
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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-02548837 v2
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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
2024
Pré-publication, Document de travail hal-04676186 v1
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ON THE DERIVATION OF A NEW ONE-DIMENSIONAL MODEL FOR BLOOD FLOWS AND ITS NUMERICAL APPROXIMATION

Yolhan Mannes , Mehmet Ersoy , Omer Faruk Eker
2024
Pré-publication, Document de travail hal-04676130 v1
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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
2024
Pré-publication, Document de travail hal-04713029 v1
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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 , Frederic Golay , Damien Sous
2024
Pré-publication, Document de travail hal-04704870 v1
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A NEW TWO-DIMENSIONAL BLOOD FLOW MODEL AND ITS RKDG APPROXIMATION

Mehmet Ersoy , Yolhan Mannes , Omer Eker
2024
Pré-publication, Document de travail hal-04700161 v1
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Adaptive mesh refinement method. Part 1: Automatic thresholding based on a distribution function

Kévin Pons , Mehmet Ersoy
2019
Pré-publication, Document de travail hal-01330679 v2
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Adaptive mesh refinement method. Part 2: Application to tsunamis propagation

Kévin Pons , Richard Marcer , Mehmet Ersoy , Frederic Golay , Richard Marcer Principia
2016
Pré-publication, Document de travail hal-01330680 v3

Runge-Kutta Discontinuous Galerkin Method Applied to Shallow Water Equations

Camille Poussel , Mehmet Ersoy , Frederic Golay , Yolhan Mannes
Topical Problems of Fluid Mechanics 2023, Institute of Thermomechanics of the Czech Academy of Sciences; CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics, pp.152-159, 2023, ⟨10.14311/TPFM.2023.021⟩
Proceedings/Recueil des communications hal-04355984 v1