Mehmet Ersoy Professeur

Identifiants chercheurs

IdHAL :

mehmet-ersoy

ORCID :

0000-0002-7251-7629

IdRef :

150156952

Présentation

Publications

Article dans une revue (24)

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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

Communication dans un congrès (6)

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
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
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
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
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
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

Poster de conférence (1)

Numerical simulation of flows in unsaturated porous media by an adaptive discontinuous Galerkin method: application to La Verne dam Jean-Baptiste Clément,Frederic Golay,Damien Sous,Mehmet Ersoy Topical Problems of Fluid Mechanics 2022, Feb 2022, Prague, Czech Republic. 2022 Poster de conférence hal-03935976v1

Chapitre d'ouvrage (1)

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

Pré-publication, Document de travail (5)

A Hydrostatic-Reconstruction-Free Well-Balanced DG Scheme for the Shallow Water Equations Mehmet Ersoy,Yolhan Mannes 2026 Pré-publication, Document de travail hal-05488860v1
Existence, Uniqueness, and Numerical Simulation of the Richards Equation Alioune Ba,Mehmet Ersoy,Yacouba Zongo 2026 Pré-publication, Document de travail hal-05482574v1
Local existence and uniqueness of strong solutions to the three-dimensional compressible primitive equations Mamadou Korca Ba,Mehmet Ersoy,Timack Ngom 2026 Pré-publication, Document de travail (preprint/prepublication) hal-05517867v1
Adaptive mesh refinement methods with automatic thresholding: theory, algorithm and application to tsunami propagation Mehmet Ersoy,Frederic Golay,Kévin Pons,Richard Marcer 2026 Pré-publication, Document de travail hal-05489994v1
A Coupled Saint-Venant-Exner Model with Threshold Erosion Law : Mathematical Formulation and Numerical Approximation Alioune Ba,Mehmet Ersoy,Timack Ngom 2026 Pré-publication, Document de travail (preprint/prepublication) hal-05541906v1

Rapport (5)

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
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
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
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
A Construction of Biorthogonal Wavelets With a Compact Operator Mehmet Ersoy [Research Report] Université de Savoie. 2009 Rapport (rapport de recherche) hal-00342457v2

Thèse (1)

Modélisation, analyse mathématique et numérique de divers écoulements compressibles ou incompressibles en couche mince. Mehmet Ersoy Mathématiques [math]. Université de Savoie, 2010. Français. ⟨NNT : ⟩ Thèse tel-00529392v1

HDR (1)

From hydrostatic to non-hydrostatic models in fluid mechanics: modeling, mathematical and numerical analysis, and computational fluid dynamics Mehmet Ersoy Numerical Analysis [math.NA]. Université De Toulon, 2020 HDR tel-03048696v1