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Consistency analysis of a 1D Finite Volume scheme for barotropic Euler models

Florent Berthelin , Thierry Goudon , Sebastian Minjeaud
J. Fuhrmann, M. Ohlberger, C. Rohde Eds. Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, 77, Springer Proc. in Math. \& Stat., pp. 97-106, 2015
Chapitre d'ouvrage hal-00961615v1

A Fourier-SEM solver of fluid models in tokamaks

Sebastian Minjeaud , Richard Pasquetti
15th European Fusion Theory Conference, Sep 2013, Oxford, United Kingdom
Communication dans un congrès hal-00870137v1

Fourier-SEM solver of fluid models in tokamaks

Sebastian Minjeaud , Richard Pasquetti
HONOM 2013, Mar 2013, Bordeaux, France
Communication dans un congrès hal-00870138v1
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An explicit MUSCL scheme on staggered grids with kinetic-like fluxes for the barotropic and full Euler system

Thierry Goudon , Julie Llobell , Sebastian Minjeaud
Communications in Computational Physics, 2020, 27 (3), pp.672-724
Article dans une revue hal-02350773v1

Cahn-Hilliard / Navier-Stokes model for the simulation of three-phase flows

Franck Boyer , Céline Lapuerta , Sebastian Minjeaud , Bruno Piar , Michel Quintard
Transport in Porous Media, 2010, 82 (3), pp. 463-483. ⟨10.1007/s11242-009-9408-z⟩
Article dans une revue istex hal-00860768v1
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High Order $C^0$-Continuous Galerkin Schemes for High Order PDEs, Conservation of Quadratic Invariants and Application to the Korteweg-de Vries Model

Sebastian Minjeaud , Richard Pasquetti
Journal of Scientific Computing, 2018, 74 (1), pp.491-518. ⟨10.1007/s10915-017-0455-2⟩
Article dans une revue hal-01158007v2
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Transfer of conservative discrete differential operators between staggered grids: construction and duality relations

Stella Krell , Sebastian Minjeaud , Julie Llobell , Thierry Goudon
IMA Journal of Numerical Analysis, 2022, 42 (3), pp.2459--2504. ⟨10.1093/imanum/drab042⟩
Article dans une revue hal-03428267v1
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Modeling and Computation of a liquid-vapor bubble formation

André Galligo , Frédéric Lesage , Sebastian Minjeaud
Université Côte d'Azur Complex Days, M. Argentina; S. Barland; P. Reynaud-Bouret; F. Cauneau; K. Guillouzouic; U. Kuhl; T. Passot; F. Planchon, Jan 2018, Nice, France
Communication dans un congrès hal-01984782v1
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Numerical investigations of the compressible Navier-Stokes system

Bilal Al-Taki , Kevin Atsou , Jean-Jéróme Casanova , Thierry Goudon , Pauline Lafitte , et al.
ESAIM: Proceedings and Surveys, 2021, CEMRACS 2019 - Geophysical Fluids, Gravity Flows, 70, pp.1 - 13. ⟨10.1051/proc/202107001⟩
Article dans une revue hal-03314984v1

High order CG schemes for KdV and Saint-Venant flows

Richard Pasquetti , Sebastian Minjeaud
19h International Conference on Finite Elements in Flow Problems - FEF 2017, Apr 2017, Rome, Italy
Communication dans un congrès hal-01508556v1
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Modéliser les océans du globe

Sebastian Minjeaud , Maëlle Nodet , Antoine Rousseau
Maths de la planète Terre Express, 2013, pp.88-90
Article dans une revue hal-00915567v2

Courants marins : l’histoire d'une bouteille à la mer

Maëlle Nodet , Antoine Rousseau , Sebastian Minjeaud
Brèves de maths, Nouveau monde, 2014, 978-2-36583-896-2
Chapitre d'ouvrage hal-01096811v1
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Raffinement local adaptatif et méthodes multiniveaux pour la simulation d'écoulements multipĥasiques.

Sebastian Minjeaud
Mathématiques [math]. Aix-Marseille Université, 2010. Français. ⟨NNT : 2010AIX30051⟩
Thèse tel-00535892v1
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An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes

Thierry Goudon , Julie Llobell , Sebastian Minjeaud
Numerical Methods for Partial Differential Equations, 2020, 36 (5), pp.1098-1128
Article dans une revue hal-02418641v1
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A MUSCL-scheme on staggered grids for the Euler equations on unstructured meshes

Charbel Ghosn , Thierry Goudon , Sebastian Minjeaud
FVCA 2023 - International Conference on Finite Volumes for Complex Applications, Oct 2023, Strasbourg, France. pp.141--149, ⟨10.1007/978-3-031-40860-1_15⟩
Communication dans un congrès hal-04294739v1
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A local adaptive refinement method with multigrid preconditionning illustrated by multiphase flows simulations.

Franck Boyer , Céline Lapuerta , Sebastian Minjeaud , Bruno Piar
ESAIM: Proceedings, 2009, 27, pp 15-53. ⟨10.1051/proc/2009018⟩
Article dans une revue hal-00307186v2
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An explicit finite volume scheme on staggered grids for the Euler equations: Unstructured meshes, stability analysis, and energy conservation

Thierry Goudon , Julie Llobell , Sebastian Minjeaud
International Journal for Numerical Methods in Fluids, 2022, 94 (1), pp.76--119. ⟨10.1002/fld.5048⟩
Article dans une revue hal-03428367v1

Fourier-spectral element approximation of the ion-electron Braginskii system with application to tokamak edge plasma in divertor configuration

Richard Pasquetti , Sebastian Minjeaud
2nd frontiers in Computational Physics: Energy sciences, Jun 2015, Zurich, France
Communication dans un congrès hal-01160865v1

Towards a High Order Fourier-SEM Solver of Fluid Models in Tokamaks

Audrey Bonnement , Sebastian Minjeaud , Richard Pasquetti
Mejdi Azaïez and Henda El Fekih and Jan S. Hesthaven. Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012, Springer, pp.169-178, 2014, Lecture Notes in Computational Science and Engineering - Volume 95, 978-3-319-01601-6. ⟨10.1007/978-3-319-01601-6_13⟩
Chapitre d'ouvrage hal-00946524v1
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A staggered scheme for the Euler equations

Thierry Goudon , Julie Llobell , Sebastian Minjeaud
Finite Volumes for Complex Applications VIII, 2017, Lille, France. pp.91-99
Communication dans un congrès hal-01491850v1
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Conservativity and weak consistency of a class of staggered finite volume methods for the euler equations

R. Herbin , J.-C. Latché , S. Minjeaud , N. Therme
Mathematics of Computation, 2021, 90 (329), pp.1155-1177. ⟨10.1090/mcom/3575⟩
Article dans une revue hal-02308023v3
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Fourier-spectral element approximation of the two fluid ion-electron Braginskii system with application to tokamak edge plasma in divertor configuration

Sebastian Minjeaud , Richard Pasquetti
Journal of Computational Physics, 2016, 321, pp.492-511. ⟨10.1016/j.jcp.2016.05.056⟩
Article dans une revue hal-01328772v1

Modéliser la circulation océanique

Sebastian Minjeaud , Maëlle Nodet , Antoine Rousseau
Textes et documents pour la classe, 2013, Les mathématiques de la Terre, 1062, pp.34-35
Article dans une revue hal-00915568v1
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Hierarchy of consistent n-component Cahn-Hilliard systems

Franck Boyer , Sebastian Minjeaud
Mathematical Models and Methods in Applied Sciences, 2014, 24 (14), pp.2885-2928. ⟨10.1142/S0218202514500407⟩
Article dans une revue hal-00933674v1
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An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model

Sebastian Minjeaud
Numerical Methods for Partial Differential Equations, 2013, 29 (2), pp. 584- 618. ⟨10.1002/num.21721⟩
Article dans une revue hal-00577226v2
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Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis

Florent Berthelin , Thierry Goudon , Sebastian Minjeaud
Mathematics of Computation, 2015, 84 (295), pp.2221--2262
Article dans une revue hal-00858252v2
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An explicit well-balanced scheme on staggered grids for barotropic Euler equations

Thierry Goudon , Sebastian Minjeaud
2023
Pré-publication, Document de travail hal-04294768v1
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An adaptive pressure correction method without spurious velocities for diffuse-interface models of incompressible flows

Sebastian Minjeaud
Journal of Computational Physics, 2013, 236, pp. 143 -156. ⟨10.1016/j.jcp.2012.11.022⟩
Article dans une revue hal-00636296v1
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High order approximation of a tokamak edge plasma transport minimal model with Bohm boundary conditions

Sebastian Minjeaud , Richard Pasquetti
Journal of Computational Physics, 2015, pp.84-87
Article dans une revue hal-01144699v1
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Numerical schemes for a three component Cahn-Hilliard model

Franck Boyer , Sebastian Minjeaud
ESAIM: Mathematical Modelling and Numerical Analysis, 2011, 45 (4), pp 697-738. ⟨10.1051/m2an/2010072⟩
Article dans une revue hal-00390065v2