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Publications

New:  Chapter 13: Staggered and co-located Finite Volume schemes for Lagrangian hydrodynamics
Raphaël Loubère, Pierre-Henri Maire, Bernard Rebourcet, Handbook of Numerical Analysis, Elsevier, 2016, Volume 17, Pages 319-352

New : Study of a new Asymptotic Preserving scheme for the Euler system in the low Mach number limit,
G.Dimarco, R.Loubère, M.-H.Vignal, SIAM SISC, accepted April 2017

New : a posteriori limiting for 2D Lagrange plus Remap schemes solving the
hydrodynamics system of equations

Jean-Philippe Braeunig, Raphaël Loubère, Renaud Motte , Mathieu Peybernes, Raphaël Poncet,  Computer and Fluids, 2017a posteriori limiting for 2D Lagrange plus Remap schemes solving the
hydrodynamics system of equations

Jean-Philippe Braeunig, Raphaël Loubère, Renaud Motte , Mathieu Peybernes, Raphaël Poncet,  Computer and Fluids, 20

Papers (49)

49. a posteriori limiting for 2D Lagrange plus Remap schemes solving the
hydrodynamics system of equations

Jean-Philippe Braeunig, Raphaël Loubère, Renaud Motte , Mathieu Peybernes, Raphaël Poncet,  Computer and Fluids, 2017, available online 20/08/17  https://doi.org/10.1016/j.compfluid.2017.08.020

48.
High-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection-diffusion equation with Dirichlet condition,
R. Costa, S. Clain, R. Loubère, G.J. Machado,
Applied Math and Modeling, accepted May 2017

47. a posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations
S.Clain, R.Loubere, G.Machado
Advances in Computational Mathematics,
accepted April 2017

46. Study of a new Asymptotic Preserving scheme for the Euler system in the low Mach number limit,
G.Dimarco, R.Loubère, M.-H.Vignal, SIAM SISC, accepted April 2017

45.
Chapter 13: Staggered and co-located Finite Volume schemes for Lagrangian hydrodynamics
Raphaël Loubère, Pierre-Henri Maire, Bernard Rebourcet,
In: Rémi Abgrall and Chi-Wang Shu, Editor(s), Handbook of Numerical Analysis, Elsevier, 2016, Volume 17, Pages 319-352, ISSN 1570-8659, ISBN 9780444637895, http://doi.org/10.1016/bs.hna.2016.07.003.


44.
A Very High-Order Accurate Staggered Finite Volume Scheme for the Stationary Incompressible Navier–Stokes and Euler Equations on Unstructured Meshes
, Costa, R., Clain, S., Machado, G.J., Loubère, R. , Journal of Scientific Computing,  1-34, 2017

43.
High accurate SPH method with multidimensional optimal order detection
Xesús Nogueira, Luis Ramı́rez, Stéphane Clain, Raphaël Loubère, Luis Cueto-Felgueroso, Ignasi Colominas, Computer Methods in Applied Mechanics and Engineering, 310, 134-155, 2016

42.  High order accurate direct Arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for non-conservative hyperbolic systems with stiff source terms

W.Boscheri, R. Loubère, Communication in Computational Physics, 21 (1) 271-312, 2017

41. Cell centered direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity
W.Boscheri, M.Dumbser, R.Loubère,
Computer and Fluids, volumes 134-135, pages 111-129, 2016

40. A simple robust and accurate a posteriori sub-cell finite volume limiter for the Discontinuous Galerkin method on unstructured meshes, M.Dumbser, R.Loubère, Journal of Computational Physics,  Volume 319, 15, Pages 163–199, 2016

39. High accurate conservative remapping scheme on polygonal meshes
using a posteriori MOOD limiting,
Ghislain Blanchard, Raphaël Loubère,
Computer & Fluids,
volume 136, pages 83-103 2016,

38.
Direct Arbitrary-Lagrangian–Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws,
Walter Boscheri, Raphaël Loubère, M.Dumbser, 
Journal of Computational Physics  292 56-87 2015

37.  A multiscale fast semi-Lagrangian method for rarefied gas dynamics,
Giacomo Dimarco and Raphaël Loubère and Vittorio Rispoli 
Journal of Computational Physics 291 99-119 2015

36.
Towards an ultra efficient kinetic scheme Part III: High Performance Computing
,

Jacek Narski, Giacomo Dimarco and Raphaël Loubère, Journal of Computational Physics
Volume 284, 1 March 2015, Pages 22–39


35. Adaptive subdivision Piecewise Linear Interface calculation (ASPLIC) for 2D multi-material hydrodynamic simulation codes,
C.Fochesatto, R.Loubere, R.Motte, J.Ovadia,
International Journal of numerical Methods in Fluids, Volume 77, Issue 7, pages 418-439 2014

34 A posteriori subcell limiting for Discontinuous Galerkin Finite Element method for hyperbolic system of conservation laws
Michael Dumbser, Olindo Zanotti, Raphaël Loubère and Steven Diot ,
Journal of Computational Physics, 278, 47-75, (2014).

33. A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
Raphaël Loubère and Michael Dumbser and Steven Diot , Communication in Computational Physics, 16, pp. 718-763 (2014). <-- Top Ten most cited article in 2014-2015 for CiCP


32.
Towards an ultra efficient kinetic scheme Part II: The High-order case ,
Giacomo Dimarco, Raphaël Loubère, Journal of Computational Physics, Volume 255, 2013, pp 699-719

31.
Dealing with more than two materials in FVCF-ENIP method, Bruno Blais, Jean-Philippe Braeunig , Jean-Michel Ghidaglia , Raphael Loubere,  European Journal of Physics B Volume 42, pp. 1-9 2013

30.
The MOOD method in the three-dimensional case: Very-High-Order Finite Volume Method for Hyperbolic Systems, Steven Diot, Raphaël Loubère, Stéphane Clain, International Journal of numerical Methods in Fluids, Volume 73, Issue 4, pages 362–392, 10 October 2013

29. A nominally  second-order  cell-centered Lagrangian  scheme for simulating
elastic-plastic flows on two-dimensional unstructured grid,
 Pierre-Henri Maire, Remi Abgrall,  Jerome Breil  , Raphael  Loubere , Bernard Rebourcet  , Journal of Computational Physics, 235, p.626-665, 20
13
(French short version in CHOCS Avancees 2012, CEA-DAM, pp 44-45
Un nouveau type de schéma lagrangiens pour les écoulements élastoplastiques, link)

28. Towards an ultra efficient kinetic scheme Part I: basics on the BGK equation , Giacomo Dimarco, Raphaël Loubère,  Journal of Computational Physics,  Volume 255, 2013, pp 680-698,

27. 3D staggered Lagrangian hydrodynamics with cell-centered Riemann solver based artificial viscosity  R. Loubere, P.-H. Maire, P. Vachal, Int. J. Numer. Meth. Fluids, 72, 1, p.22-42 2013.

26.
Enhancement of Lagrangian slide lines as a combined force and velocity boundary condition, L. Bednik, M. Kucharik, R.Liska, R. Loubere, Computer and Fluids, vol.83, pp.3-14, 2013 http://dx.doi.org/10.1016/j.compfluid.2012.06.005

25.
Improved Detection Criteria for the Multi-dimensional Optimal Order Detection (MOOD) on unstructured meshes with very high-order polynomials, S. Clain, S. Diot and R. Loubère, Computer and Fluids,  Volume 64, 15 July 2012, Pages 43-63,

24.
A totally Eulerian Finite Volume solver for multi-material fluid flows : Enhanced Natural Interface Positioning (ENIP), Jean-Philippe Braeunig , Jean-Michel Ghidaglia , Raphael Loubere, European Journal of Mechanics - B/Fluids Volume 31, January–February 2012, Pages 1-11

23.
Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydro-dynamics scheme, R. Loubère, P.-H. Maire, P. Vachal, Communication in Computational Physics, 2011, Vol. 10 (2011), Issue 4, pp. 940-978.

22.
A high-order finite volume method for hyperbolic systems: Multi-dimensional Optimal Order Detection (MOOD), S. Clain, S. Diot, R. Loubère, Journal of Computational Physics, Volume 230, Issue 10, 10 May 2011, Pages 4028-4050.

21.
ReALE: A Reconnection Arbitrary-Lagrangian-Eulerian method in cylindrical geometry ,
R. Loubère, P.-H. Maire, M. Shashkov, Computer and Fluids (46) pp 59-69, 2011

20.
A second-order compatible staggered Lagrangian hydrodynamics scheme using a cell-centered multidimensional approximate Riemann solver
Procedia Computer Science, Volume 1, Issue 1, May 2010, Pages 1925-1933
Raphaël Loubère, Pierre-Henri Maire, Pavel Váchal

19. ReALE: A reconnection-based arbitrary-Lagrangian–Eulerian method,

Journal of Computational Physics, Volume 229, Issue 12, 20 June 2010, Pages 4724-4761
Raphaël Loubère, Pierre-Henri Maire, Mikhail Shashkov, Jérôme Breil, Stéphane Galera



18. A Second-order Accurate Material-order-independent Interface Reconstruction Technique for Multi-Material Flow Simulations,
Journal of Computational Physics, Volume 228, Issue 3, 20 February 2009, Pages 731-745
Samuel P. Schofield, Rao V. Garimella, Marianne M. Francois, Raphaël Loubère


17. Volume consistency in Staggered Grid Lagrangian Hydrodynamics Schemes,
Journal of Computational Physics, Volume 227, Issue 8, 1 April 2008, Pages 3731-3737
R. Loubère, M. Shashkov, B. Wendroff

16.  On stabiliy analysis of staggered schemes,
A.L. Bauer, R. Loubere, B. Wendroff, 
SIAM J.Num.Anal. Vol 46 Issue 2 (2008)  


15. Material order independent interface reconstruction using power diagrams,
S.P.Schofield, R.V.Garimella, M.M.Francois, R.Loubère 
International Journal for Numerical Methods in Fluids
56 (6), pp. 643-659
(2008)


14. The Internal Consistency, Stability, and Accuracy of the Discrete, Compatible Formulation of Lagrangian Hydrodynamics,
Journal of Computational Physics, Volume 218, Issue 2, 1 November 2006, Pages 572-593
A.L. Bauer, D.E. Burton, E.J. Caramana, R. Loubère, M.J. Shashkov, P.P. Whalen


13. ``Curl-q": A Vorticity Damping Artificial Viscosity for Lagrangian Hydrodynamics Calculations,
Journal of Computational Physics, Volume 215, Issue 2, 1 July 2006, Pages 385-391
E.J. Caramana, R. Loubère


12. Convergence and Sensitivity Analysis of Repair Algorithms in 1D ,
B.Despres, R.Loubere Int. J. Finit. Vol (2006)

11. The Force/Work Differencing of Exceptional points  in the Discrete Compatible Formulation of Lagrangian Hydrodynamics,
Journal of Computational Physics, Volume 216, Issue 1, 20 July 2006, Pages 1-18
R. Loubère, E.J. Caramana


10. The repair paragdim: new algorithms and applications to compressible flow,
Journal of Computational Physics, Volume 211, Issue 2, 20 January 2006, Pages 385-404
Raphaël Loubère, Martin Staley, Burton Wendroff
Ranked 21st in the TOP 25 Hottest Articles in Physics and Astronomy Oct-Dec 05 http://top25.sciencedirect.com/index.php?cat_id=6&subject_area_id=21
Ranked 1st in the TOP 25 Hottest Articles in Computer Science in Journal of Comp. Physics Oct-Dec 05 http://top25.sciencedirect.com/index.php?cat_id=6&subject_area_id=7&journal_id=00219991


9. A subcell remapping method for polygonal staggered grids,
Journal of Computational Physics, Volume 209, Issue 1, 10 October 2005, Pages 105-138
Raphaël Loubère, Mikhail J. Shashkov


8. 2D Arbitrary-Lagrangian-Eulerian (ALE) code on polygonal grids for shock wave simulation    
Khimicheskaya Fizika 24 (2), pp. 19-31 (2005)
R. Loubere, M. Shashkov,


7. Modeling of laser-plasma interaction on  hydrodynamics scales: Physics developments and comparison with experiments,
S.Weber et al
Laser and particle beam (2004) 22, pp.189-195 


6. A transport simulation code for Inertial Confinement Fusion (ICF) relevant laser/plasma interaction,
S.Weber, P.H.Maire, R.Loubère, G.Riazuello, P.Michel, J.Ovadia, V.Tikhonchuk,
Comp.Physics Comm. 168, 141-158 (2005) 


5. A laser-plasma interaction code for ICF
Weber, S., Loubère, R., Tikhonchuk, V., Ovadia, J., Bonnaud, G.,
Inertial Fusion Sciences and Applications 2003 , pp. 327-330


4. A lagrangian Discontinuous Galerkin type method on unstructured meshes to solve hydrodynamics problems,
R.Loubère, J.Ovadia, R.Abgrall,  Int. J. Numer. Meth. Fluids, 44, Isssue 6, pp. 645-663 (2004)

3. A new particle  lagrangian Discontinuous Galerkin type method. Applications to hydrodynamics and laser/plasma interactions problems.
R.Loubère, PhD University of Bordeaux (2002) 

2. A new dynamical antidiffusive process (in french Une technique nouvelle d'antidiffusion dynamique),
G.Godinaud, A.Y.Le Roux, R.Loubere, J.Ovadia, 
C.R.Acad.Sci.Paris, t.333, Série I, p.957-960, 2001


1. Analysis of a complete discrete finite element method for a free boundary diffusion problem with absorption,
M.I.Cozic, M.N.Le Roux, R.Loubere,
J.Comp.Appl.Math., 134 (2001) p.143-164  



Proceedings (8)

8.  A second-order well-balanced scheme for the shallow-water equations with topography, Christophe Berthon, Raphaël Loubère and Victor Michel-Dansac, XVI International Conference on Hyperbolic Problems
Theory, Numerics, Applications, Aachen (Germany), August 1-5, 2016
Springer Proceedings in Mathematics and Statistics.

7. Very high-order finite volume method for one-dimensional convection diffusion problems. S. Clain, S. Diot, R. Loubère, G. Machado, R. Ralha, and R.M.S. Pereira. In MATHEMATICAL MODELS FOR ENGINEERING SCIENCE (MMES’11), International conference of the Institute for  Environment, Engineering, Economics and Applied Mathematics (IEEEAM), 2012.

6A finite volume lagrangian cell centered mimetic approach for computing elasto-plastic deformation of solids in general unstructured grids, Sambasivan, S.K. and Loubère, R. and Shashkov, M.J., ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers, p 125-142

5. Multi-dimensional Optimal Order Detection (MOOD) — A very high-order Finite Volume Scheme for conservation laws on unstructured meshes, S. Clain, S. Diot, R. Loubère
FVCA 6, International Symposium, Prague, June 6-10, 2011, Series: Springer Proceedings in Mathematics, Vol. 4, Fořt, J.; Fürst, J.; Halama, J.; Herbin, R.; Hubert, F. (Eds.) 1st Edition., 2011, XVII, 1065 p. 106 illus. in color.


4. A second-order compatible staggered Lagrangian hydrodynamics scheme using a cell-centered multidimensional approximate Riemann solver
Procedia Computer Science, Volume 1, Issue 1, May 2010, Pages 1925-1933
Raphaël Loubère, Pierre-Henri Maire, Pavel Váchal

3. Arbitrary-Lagrangian-Eulerian  (ALE) method in cylindrical coordinates for laser/plasma simulation,  M.Kucharik, R.Liska, R.Loubere, M. Shashkov,  Hyperbolic problems: Theory, Numerics, Application, Proceedings of the 11th Int. Conf on Hyperbolic problems, ENS Lyon July 17-21, 2006, Sylvie Benzoni-Gavage and Denis Serre editors, Springer-Verlag Berlin Heidelberg 687--694,

2. Comparison of staggered and cell-centered Lagrangian and ALE hydrodynamical methods.
In E. Tadmor, J.-G. Liu, and A.E. Tzavaras, editors, Hyperbolic Problems. Theory, Numerics and Applications., volume 67.2 of Proceedings of Symposia in Applied Mathematics, pages 755-764. University of Maryland, American Mathematical Society, 2009.
R. Liska, R. Loubere, P.-H. Maire, J. Breil, S. Galera, and P. Vachal.


1. Formulation of a staggered two-dimensional Lagrangian scheme by means of cell-centered approximate Riemann solver. Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, Sweden, Springer, (ed.)
R. Loubère, P.-H. Maire, P. Vachal, 2009,
Editors Gunilla Kreiss  Per Lötstedt, Axel Målqvist, Maya Neytcheva

Submitted or in revision

  July 2017   

*
Adaptive-Mesh-Refinement for hyperbolic systems of conservation laws
based on a posteriori stabilized high order polynomial reconstructions,

M. Semplice, R. Loubère, submitted to J.Comput.Phys March 2017, in revision July 2017

*
a posteriori limiting for 2D Lagrange plus Remap schemes solving the
hydrodynamics system of equations

Jean-Philippe Braeunig, Raphaël Loubère, Renaud Motte , Mathieu Peybernes, Raphaël Poncet, submitted to Computer and Fluids February 2017, in revision

*
An efficient numerical method for solving the Boltzmann equation in
multidimensions,
Giacomo Dimarco, Raphaël Loubère, Jacek Narski, Thomas Rey, in revision J.Comput.Phys. 2017



Reports and personal communications

    1. French Atomic Energy Commission (CEA) and Applied Mathematics lab from Bordeaux (MAB) report:
   
(i)  R. Loubère, J. Ovadia Une méthode particulaire lagrangienne (MPL). Partie I : principes de la méthode numérique – Rapport du Laboratoire de Recherche Correspondant CEA-Université de Bordeaux (LRC M03) – N°06 (2001) report1
    (ii)
G. Bonnaud, R. Loubère, J. Ovadia Une méthode particulaire lagrangienne (MPL). Partie II : application à l’interaction laser/plasma – Rapport du Laboratoire de Recherche Correspondant CEA-Université de Bordeaux – N°07 (2001) report2


2. Los Alamos National Laboratory (LAURs) reports - (non exhaustive list)
 
   (i) R. Loubère, "Investigation of triangular meshes forcompressible Langrangian  hydrodynamics"LAUR-05-2937
    (ii)
R. Loubère, Multi fluid model in 1D Lagrangian, report1 LAUR-04-6694, report2 LAUR-05-5037
    (iii)
R. Loubère, "A Mixing Model for Mulimaterial Computations in Fluid Dynamics:  Remapping  and Ale" LAUR-05-7570
    (iv)
R. Loubère, First steps into ALE INC (manual of the code) LAUR-04-8840
    (v)
R. Loubère,  Test Suite for hydrodynamics compressible flows LAUR-05-9395
    (vi)
R. Loubère,  "On the effect of the different Limiters for the tensor  Artificial Visosity for the compatible Langrangian" LAUR-05-93013.


3. Institute of Mathematics Toulouse (IMT) reports

R. Loubère,  Centroid approximation by B-spline in multi-material cells
R. Loubère,
Automatic Rezone and Remap strategy


4. CEA DAM DIF reports
   
R. Loubère, Rapports 2007, 2008, 2009, 2010, 2011, 2013
, 2016

  • PhD Thesis - Download it (.ps.zip 2MB)
  • Habilitation Thesis - Download it (.ps.zip 65MB)
  • R.Loubère. University of Toulouse (France), 2013. Contribution to the Lagrangian and ALE numerical methods
    Supervisor: P.Degond (Math Institute of Toulouse) 
    Reviewers: A. Barlow (Atomic Weapons Establishment, UK), F. Coquel (J.L.Lions Lab, University of Paris VI and Polytechnique school), P. Roe (Aerospace engineering, Univ. of Michigan, U.S.A)