Pierre-Henri Maire

Publications

Article dans une revue (24)

An all-Mach cell-centered multi-dimensional nite volume numerical scheme for the Euler equations Alessia Del Grosso,Wasilij Barsukow,Raphaël Loubère,Pierre-Henri Maire Computers and Fluids, 2026, 306, pp.106951. ⟨10.1016/j.compfluid.2025.106951⟩ Article dans une revue hal-05442504v1
A node conservative cell-centered Finite Volume method for solving multidimensional Euler equations over general unstructured grids Vincent Delmas,Raphaël Loubère,Pierre-Henri Maire Journal of Computational Physics, 2025, pp.114246. ⟨10.1016/j.jcp.2025.114246⟩ Article dans une revue hal-05174020v1
Embedding General Conservation Constraints in Discretizations of Hyperbolic Systems on Arbitrary Meshes: A Multidimensional Framework Remi Abgrall,Pierre-Henri Maire,Mario Ricchiuto Mathematical Models and Methods in Applied Sciences, 2025, ⟨10.1142/S0218202526400014⟩ Article dans une revue hal-05441079v1
An Unconventional Divergence Preserving Finite-Volume Discretization of Lagrangian Ideal MHD Walter Boscheri,Raphaël Loubère,Pierre-Henri Maire Communications on Applied Mathematics and Computation, 2023, 6 (3), pp.1665-1719. ⟨10.1007/s42967-023-00309-2⟩ Article dans une revue hal-05175644v1
Entropy stable and positivity preserving Godunov-type schemes for multidimensional hyperbolic systems on unstructured grid Gérard Gallice,Agnes Chan,Raphaël Loubère,Pierre-Henri Maire Journal of Computational Physics, 2021, 468, pp.111493. ⟨10.1016/j.jcp.2022.111493⟩ Article dans une revue hal-03787929v1
A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics Walter Boscheri,Michael Dumbser,Raphael Loubere,P.H. Maire Journal of Computational Physics, 2018, 358, pp.103-129. ⟨10.1016/j.jcp.2017.12.040⟩ Article dans une revue hal-02322080v1
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part I: The one-dimensional case François Vilar,Chi-Wang Shu,P.H. Maire Journal of Computational Physics, 2016, 312, pp.385 - 415. ⟨10.1016/j.jcp.2016.02.027⟩ Article dans une revue hal-01248910v1
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part II: The two-dimensional case François Vilar,Chi-Wang Shu,P.H. Maire Journal of Computational Physics, 2016, 312, pp.416 - 442. ⟨10.1016/j.jcp.2016.01.037⟩ Article dans une revue hal-01248913v1
A multi-material CCALE-MOF approach in cylindrical geometry Marie Billaud-Friess,J. Breil,Stephane Galera,P.-H. Maire,M. Shashkov Communications in Computational Physics, 2014, 15 (2), pp.330-364. ⟨10.4208/cicp.190912.080513a⟩ Article dans une revue hal-01004851v1
A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids François Vilar,P.H. Maire,Rémi Abgrall Journal of Computational Physics, 2014, 276, pp.188 - 234. ⟨10.1016/j.jcp.2014.07.030⟩ Article dans une revue hal-01093676v1
3D staggered Lagrangian hydrodynamics scheme with cell-centered Riemann solver-based artificial viscosity Raphaël Loubère,P.H. Maire,Pavel Vachal International Journal for Numerical Methods in Fluids, 2013, 72 (1), p. 22-42. ⟨10.1002/fld.3730⟩ Article dans une revue istex hal-00986383v1
A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids P.H. Maire,Remi Abgrall,Jérôme Breil,Raphaël Loubère,Bernard Rebourcet Journal of Computational Physics, 2013, 235 Article dans une revue hal-00934989v1
Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydro-dynamics scheme P.H. Maire,Raphaël Loubère,Pavel Vachal Communications in Computational Physics, 2011, 10 (4), pp.940-978. ⟨10.4208/cicp.170310.251110a⟩ Article dans une revue hal-00656433v1
ReALE: A Reconnection Arbitrary-Lagrangian-Eulerian method in cylindrical geometry Raphaël Loubère,P.H. Maire,M. Shashkov Computers and Fluids, 2011, 46 (1), pp.59-69. ⟨10.1016/j.compfluid.2010.08.024⟩ Article dans une revue istex hal-00658522v1
Ejection of spalled layers from laser shock-loaded metals E. Lescoute,T. de Resseguier,J.-M. Chevalier,D. Loison,J.P. Cuq-Lelandaiset al. Journal of Applied Physics, 2010, 108 (9), pp.093510. ⟨10.1063/1.3500317⟩ Article dans une revue hal-01136321v1
A second-order compatible staggered Lagrangian ydrodynamics scheme using a cell-centered multidimensional approximate Riemann solver Raphaël Loubère,P.H. Maire,Pavel Vachal Procedia Computer Science, 2010, 1 (1), pp.1931-1939. ⟨10.1016/j.procs.2010.04.216⟩ Article dans une revue hal-00658530v1
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method Raphaël Loubère,P.H. Maire,Mikhail Shashkov,Jérôme Breil,Stéphane Galera Journal of Computational Physics, 2010, 229 (12), pp.4724-4761. ⟨10.1016/j.jcp.2010.03.011⟩ Article dans une revue istex hal-00658561v1
Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for the one-dimensional Lagrangian hydrodynamics François Vilar,P.H. Maire,Remi Abgrall Computers and Fluids, 2010, pp.Article in Press. ⟨10.1016/j.compfluid.2010.07.018⟩ Article dans une revue inria-00538165v1
A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes P.H. Maire Journal of Computational Physics, 2009, 228, pp.2391-2425. ⟨10.1016/j.jcp.2008.12.007⟩ Article dans une revue inria-00322369v1
Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics. P.H. Maire,Boniface Nkonga Journal of Computational Physics, 2009, Volume 228 (Issue 3, 20 February 2009), pp.Pages 799-821. ⟨10.1016/j.jcp.2008.10.012⟩ Article dans une revue inria-00290717v1
A high-order cell-centered Lagrangian scheme for compressible fluid flows in two-dimensional cylindrical geometry P.H. Maire Journal of Computational Physics, 2009, 228, pp.6882-6915. ⟨10.1016/j.jcp.2009.06.018⟩ Article dans une revue inria-00372105v1
A cell-centered Arbitrary Lagrangian Eulerian (ALE) method for multi-material compressible flows P.H. Maire,Maya de Buhan,Aaron Diaz,Cécile Dobrzynski,Gilles Kluthet al. ESAIM: Proceedings, 2008, 24, pp.1-13 Article dans une revue hal-00353792v1
A Lagrangian scheme for multidimensional compressible flow problems. P.H. Maire,Remi Abgrall,J. Breil,J. Ovadia SIAM Journal on Scientific Computing, 2007, 29 Article dans une revue inria-00403699v1
A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems Rémi Abgrall,Jérôme Breil,P.H. Maire,Jean Ovadia SIAM Journal on Scientific Computing, 2007, A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems, 29 (4), pp.1781-1824. ⟨10.1137/050633019⟩ Article dans une revue inria-00113542v1

Pré-publication, Document de travail (8)

A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics Walter Boscheri,Michael Dumbser,Raphaël Loubère,Pierre-Henri Maire 2025 Pré-publication, Document de travail hal-05176480v1
An unconventional divergence preserving Finite Volume discretization of Lagrangian ideal MHD Walter Boscheri,Raphaël Loubère,Pierre-Henri Maire 2023 Pré-publication, Document de travail hal-04010654v2
Un schéma centré pour l'hydrodynamique Lagrange bidimensionnelle Rémi Abgrall,Jérôme Breil,P.H. Maire,Jean Ovadia 2016 Pré-publication, Document de travail hal-01278264v1
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders François Vilar,Chi-Wang Shu,P.H. Maire 2015 Pré-publication, Document de travail hal-01199605v1
A total Lagrangian discontinuous Galerkin discretization of the two-dimensional gas dynamics equations François Vilar,P.H. Maire,Remi Abgrall 2014 Pré-publication, Document de travail hal-00947367v1
A high-order cell-centered finite volume scheme for simulating three dimensional anisotropic diffusion equations on unstructured grids Pascal Jacq,P.H. Maire,Remi Abgrall 2013 Pré-publication, Document de travail hal-00835537v1
A high-order finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids P.H. Maire,Jérôme Breil 2011 Pré-publication, Document de travail hal-00605548v1
A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction Stéphane Galera,P.H. Maire,Jérôme Breil 2010 Pré-publication, Document de travail inria-00453534v1

Communication dans un congrès (4)

SOME ACOUSTIC-TRANSPORT SPLITTING SCHEMES FOR TWO-PHASE COMPRESSIBLE FLOWS Simon Peluchon,Gerard Gallice,P.H. Maire ECCOMAS Congress 2016, Jun 2016, Hersonissos (Crete), Greece Communication dans un congrès hal-01448467v1
Coupling two cell-centered finite volume schemes for solving anisotropic diffusion and fluid dynamics on unstructured moving meshes Pascal Jacq,P.H. Maire,Jean Claudel,Remi Abgrall 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France Communication dans un congrès hal-00855868v1
Formulation of a staggered two-dimensional Lagrangian scheme by means of cell-centered approximate Riemann solver Raphaël Loubère,P.H. Maire,Pavel Vachal European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), 2009, Sweden. pp.617-625, ⟨10.1007/978-3-642-11795-466⟩ Communication dans un congrès hal-00656421v1
2nd Workshop on new trends in numerical methods for multi-material compressible fluid flows Raphaël Loubère,P.H. Maire,M. Shashkov ICCS 2010 2nd Workshop on New Trends in Numerical Methods for Multi-Material Compressible Fluid Flow, 2010, United States. p. 1883-1884, ⟨10.1016/j.procs.2010.04.210⟩ Communication dans un congrès hal-00986455v1

Rapport (3)

A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids François Vilar,P.H. Maire,Remi Abgrall [Research Report] RR-8483, INRIA. 2014 Rapport (rapport de recherche) hal-00950782v1
A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids P.H. Maire,Remi Abgrall,Jérôme Breil,Raphaël Loubère,Bernard Rebourcet [Research Report] RR-7975, INRIA. 2012, pp.76 Rapport (rapport de recherche) hal-00701802v1
Etude d'une équation de diffusion non linéaire. Application à la discrétisation de l'équation d'énergie cinétique turbulente pour un modèle de turbulence à une équation P.H. Maire [Rapport de recherche] CEA, CEA/DAM/DIF, Bruyères-le-Châtel, France. 2001 Rapport (rapport de recherche) cea-02931269v1

HDR (1)

Contribution to the numerical modeling of Inertial Confinement Fusion P.H. Maire Mathematics [math]. Université Bordeaux I, 2011 HDR tel-00589758v1

Chapitre d'ouvrage (1)

Comparison of staggered and cell-centered Lagrangian and ALE hydrodynamical methods Richard Liska,Raphaël Loubère,P.H. Maire,Jérôme Breil,Stéphane Galeraet al. Hyperbolic problems: theory, numerics and applications, American Mathematical Society, pp.755-764, 2009, Proc. Sympos. Appl. Math., vol. 67, Part 2 Chapitre d'ouvrage hal-00628707v1