Pierre-Henri Maire

Documents

Publications

Revisiting genuinely multidimensional fluxes for cell-centered Lagrangian gas dynamics

Pierre-Henri Maire , Vincent Delmas , Michael Dumbser , Raphaël Loubère

International Conference on High Order NOnlinear Numerical Methods for Evolutionary PDE HONOM 2026, Michaël Dumbser, Mar 2026, Trento (Italy), Italy

Communication dans un congrès hal-05711252v1

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

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 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

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

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

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

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

Ejection of spalled layers from laser shock-loaded metals

E. Lescoute , T. de Resseguier , J.-M. Chevalier , D. Loison , J.P. Cuq-Lelandais et 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 Kluth et 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