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Paul Vigneaux

67
Documents
Researcher identifiers
Web site
  • https://vigneaux.perso.math.cnrs.fr/

Presentation

Full Professor, Mathematics Current affiliation (2022-): LAMFA CNRS UMR 7352 - Université de Picardie Jules Verne Previous affiliation (2008-2022): UMPA CNRS UMR 5669 - ENS de Lyon
Full Professor, Mathematics Current affiliation (2022-): LAMFA CNRS UMR 7352 - Université de Picardie Jules Verne Previous affiliation (2008-2022): UMPA CNRS UMR 5669 - ENS de Lyon

Publications

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Multilayer models for hydrostatic Herschel-Bulkley viscoplastic flows

Enrique Domingo Fernández-Nieto , J Garres-Díaz , Paul Vigneaux
Computers & Mathematics with Applications, 2023, 139, pp.99-117. ⟨10.1016/j.camwa.2023.03.018⟩
Journal articles hal-03679369v1
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Confined yield stress lubrication flows for cement paste backfill in underground stopes

Paul Vigneaux , Yajian Shao , Ian Frigaard
Cement and Concrete Research, 2023, 164, pp.107038. ⟨10.1016/j.cemconres.2022.107038⟩
Journal articles hal-03892951v1
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Flow of a yield-stress fluid over a cavity: experimental and numerical investigation of a viscoplastic boundary layer

Paul Vigneaux , Guillaume Chambon , Arthur Marly , Li-Hua Luu , Pierre Philippe
Journal of Non-Newtonian Fluid Mechanics, 2018, 261, pp.38-49. ⟨10.1016/j.jnnfm.2018.08.005⟩
Journal articles hal-01857303v1
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Efficient numerical schemes for viscoplastic avalanches. Part 2: the 2D case

Enrique D. Fernandez-Nieto , J.M. Gallardo , Paul Vigneaux
Journal of Computational Physics, 2018, 353, pp.460-490. ⟨10.1016/j.jcp.2017.09.054⟩
Journal articles hal-01593148v1
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Population parametrization of costly black box models using iterations between SAEM algorithm and kriging

Emmanuel Grenier , Celine Helbert , Violaine Louvet , Adeline Samson , Paul Vigneaux
Computational & Applied Mathematics, 2018, 37 (1), pp.161-173. ⟨10.1007/s40314-016-0337-5⟩
Journal articles hal-01224004v2
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Augmented Lagrangian simulations study of yield-stress fluid flows in expansion-contraction and comparisons with physical experiments

Arthur Marly , Paul Vigneaux
Journal of Non-Newtonian Fluid Mechanics, 2017, 239, pp.35 - 52. ⟨10.1016/j.jnnfm.2016.12.004⟩
Journal articles hal-01432028v1
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Efficient numerical schemes for viscoplastic avalanches. Part 1: the 1D case

Enrique D. Fernandez-Nieto , J.M. Gallardo , Paul Vigneaux
Journal of Computational Physics, 2014, 264, pp.55-90. ⟨10.1016/j.jcp.2014.01.026⟩
Journal articles hal-01011373v1
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Parameter estimation in non-linear mixed effects models with SAEM algorithm: extension from ODE to PDE.

Emmanuel Grenier , Violaine Louvet , Paul Vigneaux
ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48 (5), pp.1303-1329. ⟨10.1051/m2an/2013140⟩
Journal articles hal-00936373v2
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A mathematical model for mechanotransduction at the early steps of suture formation

Roman Hossein Khonsari , Julien Olivier , Paul Vigneaux , Sophie Sanchez , Paul Tafforeau
Proceedings of the Royal Society of London. Series B, Containing papers of a Biological character. Royal Society (Great Britain), 2013, 280 (1759), pp.20122670. ⟨10.1098/rspb.2012.2670⟩
Journal articles hal-00709484v1
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A well-balanced finite volume-augmented Lagrangian method for an integrated Herschel-Bulkley model

Céline Acary-Robert , Enrique D. Fernandez-Nieto , G. Narbona-Reina , Paul Vigneaux
Journal of Scientific Computing, 2012, 53 (3), pp.608-641. ⟨10.1007/s10915-012-9591-x⟩
Journal articles hal-00709491v1
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L'Institut Courant de Sciences Mathématiques : 75 ans d'Excellence

Mary Louise Ball , Paul Vigneaux
Images des Mathématiques, 2011, http://images.math.cnrs.fr/L-Institut-Courant-de-Sciences.html
Journal articles hal-00643784v1
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Volcan islandais Eyjafjöll : mais où vont les particules ?

Paul Vigneaux
Images des Mathématiques, 2010, http://images.math.cnrs.fr/Volcan-islandais-Eyjafjoll-mais-ou.html
Journal articles hal-00572394v1

Les baïnes, du surf et des maths

Paul Vigneaux
Images des Mathématiques, 2009, http://images.math.cnrs.fr/Les-baines-du-surf-et-des-maths.html
Journal articles hal-00604176v1
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On stability condition for bifluid flows with surface tension : application to microfluidics

Cedric Galusinski , Paul Vigneaux
Journal of Computational Physics, 2008, 227 (12), pp.6140-6164. ⟨10.1016/j.jcp.2008.02.023⟩
Journal articles hal-00274569v2
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Level-Set method and stability condition for curvature-driven flows

Cedric Galusinski , Paul Vigneaux
Comptes rendus hebdomadaires des séances de l'Académie des sciences, 2007, 344 (11), pp.703-708. ⟨10.1016/j.crma.2007.05.001⟩
Journal articles hal-00193189v1

Experimental investigation of viscoplastic surges over complex topographies

Colin Ginot , Guillaume Chambon , Pierre Philippe , Paul Vigneaux
Fluids and Complexity III, Fédération Doeblin (Université Côte d'Azur, CNRS), Dec 2023, Nice, France
Conference papers hal-04436620v1

Evaluation of depth-averaged models for viscoplastic free-surface flows: cross-comparisons with experiments

Guillaume Chambon , Paul Vigneaux , Colin Ginot
14th European Fluid Mechanics Conference (EFMC14), Sep 2022, Athens, Greece
Conference papers hal-03893063v1

A multilayer method for Shallow Water yield stress flows

Paul Vigneaux
9th Computational Methods in Applied Mathematics, Aug 2022, Vienna, Austria
Conference papers hal-03768627v1

Experimental investigation of viscoplastic flows over topographical features

Colin Ginot , Guillaume Chambon , Paul Vigneaux
14th European Fluid Mechanics Conference (EFMC14), Sep 2022, Athens, Greece
Conference papers hal-03893059v1

Mouvements de terrain et comportements des géomatériaux

Guillaume Chambon , Paul Vigneaux
Face au changement climatique, le champ des possibles, Académie des Sciences, IMPT & Musée des confluences Lyon, Nov 2021, Lyon, France
Conference papers hal-03893147v1

Flow of a yield stress-fluid over cavity and viscoplastic boundary layers: following the quest

Paul Vigneaux , Guillaume Chambon , Li-Hua Luu , Arthur Marly , Pierre Philippe
VPF8 2019 - 8th Viscoplastic Fluids Workshop: From Theory to Applications, Sep 2019, Cambridge, United Kingdom
Conference papers hal-02296110v1

Numerical methods for geophysical yield stress fluid flows

Paul Vigneaux
ICIAM 2019 - 9th International Congress on Industrial and Applied Mathematics, Jul 2019, Valencia, Spain
Conference papers hal-02202001v1

Flow of a Yield-stress Fluid over a Cavity: Experimental and Numerical Investigation of an Oldroyd's Boundary Layer

Paul Vigneaux
CSE 2019 - SIAM Conference on Computational Science and Engineering, Feb 2019, Spokane, United States
Conference papers hal-02087288v1

Accurate arrested states for finite-volumes schemes on a shallow Bingham model

Paul Vigneaux
7th Viscoplastic Fluids Workshop: From Theory to Applications (VPF7), Oct 2017, Rotorua, New Zealand
Conference papers hal-01630047v1

Flow of a yield stress-fluid over cavity - experimental & numerical investigation of viscoplastic boundary layers

Guillaume Chambon , Li-Hua Luu , Arthur Marly , Pierre Philippe , Paul Vigneaux
7th Viscoplastic Fluids Workshop: From Theory to Applications (VPF7), Oct 2017, Rotorua, New Zealand
Conference papers hal-01821648v1

Simulations of Bingham fluids in expansion-contraction geometries: comparison with physical experiments

Arthur Marly , Paul Vigneaux
7th Viscoplastic Fluids Workshop: From Theory to Applications (VPF7), Oct 2017, Rotorua, New Zealand
Conference papers hal-01821679v1

Bed Erosion Process in Geophysical Viscoplastic Fluid

Li-Hua Luu , Guillaume Chambon , Arthur Marly , Pierre Philippe , Paul Vigneaux
AGU Fall Meeting, Dec 2017, New Orleans, United States
Conference papers hal-01821668v1

2D numerical simulations of Bingham equations (integrated or not)

Paul Vigneaux
5me Ecole du GdR CNRS EGRIN, May 2017, Cargèse, France
Conference papers hal-01568776v1

Numerical schemes for viscoplastic avalanches. A shallow - Bingham flow model

Paul Vigneaux
SIMAI 2016, SIMAI, Politecnico di Milano, Sep 2016, Milano, Italy
Conference papers hal-01376649v1

SAEM methods for statistical PDE parameters estimation and application to biology

Paul Vigneaux
CIMPA School "Mathematical models in biology and medicine", Dec 2016, Moka, Mauritius
Conference papers hal-01419082v1

Small scale fluid dynamics, interfaces and numerics

Paul Vigneaux
CEMRACS 2015, SMAI, Jul 2015, CIRM - Marseille, France
Conference papers hal-01180352v1

Numerical schemes for viscoplastic avalanches

Paul Vigneaux
2me Ecole du GdR CNRS EGRIN, Jun 2014, Domaine de Chalès, France
Conference papers hal-01019923v1

Estimation of PDE's parameters via mixed effects models. Application to KPP equation.

Paul Vigneaux
CIMPA Research Summer School on "PDE methods in Biology and Medicine", Jun 2013, La Habana, Cuba
Conference papers hal-00848024v1
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Statistical Inference for Partial Differential Equations

Emmanuel Grenier , Marc Hoffmann , Tony Lelièvre , Violaine Louvet , Clémentine Prieur
SMAI 2013 - 6e Biennale Française des Mathématiques Appliquées et Industrielles, May 2013, Seignosse, France. pp.178-188, ⟨10.1051/proc/201445018⟩
Conference papers hal-01102782v1

Numerics for Viscoplastic Shallow-Water equations

Paul Vigneaux
"Geophysical Complex Fluids", within ANR Think tank "Mathematics of Planet Earth", Sep 2013, Institut de Mathematiques de Toulouse, France
Conference papers hal-01011306v1

Viscoplastic shallow models to simulate some complex avalanches

Paul Vigneaux
Mathematics of Planet Earth: Examples of Mathematics applied to Geophysics, Oct 2013, Institute of Mathematics of Seville, Spain
Conference papers hal-01011309v1

Extending Monolix to use models with Partial Differential Equations

Paul Vigneaux
PAGE 2013. Annual Meeting of the Population Approach Group in Europe., Jun 2013, Glasgow, United Kingdom. pp.PAGE 22 (2013) Abstr 2666
Conference papers hal-00846170v1

Microfluidics, Nanofluidics: ounces of physics, modelling & numerical methods

Paul Vigneaux
13th CNRS Thematic School on Computational Fluid Dynamics, Jun 2013, Porquerolles, France
Conference papers hal-00848033v1

On the growth of low grade gliomas - Sur la croissance des gliomes de bas grade

Paul Vigneaux
SMAI 2013 - Minisymposium "CANCER", May 2013, Seignosse, France
Conference papers hal-00846148v1

Viscoplastic Free-Surface Flows: The Herschel-Bulkley Case

Paul Vigneaux
Seventh International Conference on Computational Fluid Dynamics (ICCFD7), Big Island, Hawaii, July 9-13, 2012, Jul 2012, United States. pp.ICCFD7-3302
Conference papers hal-00751287v1

Well-Balanced Finite Volume Schemes for Bingham Flows

Paul Vigneaux , Didier Bresch , Enrique D. Fernandez - Nieto , Ioan R. Ionescu
ICIAM 2011 - 7th International Congress on Industrial and Applied Mathematics, Jul 2011, Vancouver, Canada
Conference papers hal-00627242v1

Stability condition for surface tension-driven flows and application to microfluidics

Paul Vigneaux
Mathematical Aspects of Fluid Problems, Apr 2011, Seville, Spain
Conference papers hal-00627212v1

Augmented Lagrangian / well-balanced finite volume method for compressible viscoplastic flows

Paul Vigneaux , Didier Bresch , Enrique D. Fernandez-Nieto , Ioan R. Ionescu
Sixth International Conference on Computational Fluid Dynamics, ICCFD6, Jul 2010, St-Petersburg, Russia. pp.271-277
Conference papers hal-00627228v1

A coupled Augmented Lagrangian/Finite Volume method for a compressible Bingham system

Paul Vigneaux
Chinese-French Research Institute on Stress Tensor Effects on Fluid Mechanics, Jan 2010, Beijing, China
Conference papers hal-00627206v1

A Method for Compressible Bingham-Type Systems Applied to Shallow Dense Avalanches Simulations. Keynote Lecture

Paul Vigneaux
9th World Congress on Computational Mechanics, WCCM 2010, Jul 2010, Sydney, Australia
Conference papers hal-00627231v1

Une méthode couplée Lagrangien Augmenté - Volumes-Finis appliquée aux avalanches de neige dense

Paul Vigneaux
CANUM 2010 - 40e Congrès National d'Analyse Numérique, May 2010, Bordeaux, France
Conference papers hal-00627255v1

Simulations numériques en microfluidique. Applications en Chimie et Biologie

Paul Vigneaux
1res Journées du GdR CNRS CALCUL. Institut Henri Poincaré., Nov 2009, Paris, France
Conference papers hal-00627250v1

Surface-tension driven interfaces : stability and some applications in microchannels

Paul Vigneaux
Free boundary problems in fluid mechanics, Feb 2008, Vienne, Austria
Conference papers hal-00627204v1

Approche hydrodynamique des mouvements de cellules en interaction avec la paroi endothéliale, grâce à des Méthodes Level Set

Paul Vigneaux , Didier Bresch , Edouard Oudet
Bioinformatique et Modélisation Mathématique en Biologie et Innovation thérapeutique. GdR CNRS MABEM., Dec 2008, Ecole Centrale Paris, France
Conference papers hal-00627247v1
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Écoulement de gouttes dans des microcanaux : simulations numériques et expériences

Annie Colin , Galder Cristobal , Cedric Galusinski , Khodor Khadra , Paul Vigneaux
CFM'07, 18e Congrès Français de Mécanique, Aug 2007, Grenoble, France. pp.CFM2007-1446
Conference papers hal-00198752v1

Stabilité numérique en suivi d'interface avec prépondérance de la tension de surface

Paul Vigneaux
3e Congrès national de mathématiques appliquées et industrielles (SMAI 2007), Jun 2007, Praz sur Arly, France
Conference papers hal-00281520v1

A new stability condition for surface tension-driven flows

Paul Vigneaux , Cedric Galusinski
6th International Congress on Industrial and Applied Mathematics (ICIAM 2007), Jul 2007, Zurich, Switzerland
Conference papers hal-00281522v1

Surface tension-driven flows in Microfluidics

Cedric Galusinski , Paul Vigneaux
6th International Congress on Industrial and Applied Mathematics (ICIAM 2007), Jul 2007, Zurich, Switzerland
Conference papers hal-00281521v1

Exploring mixing dynamics inside microdroplets with a Level Set method

Paul Vigneaux
ENUMATH 2007 the 7th European Conference on Numerical Mathematics and Advanced Applications, Sep 2007, Graz, Austria
Conference papers hal-00281523v1

Numerical modelling of droplet hydrodynamics in microchannels

Paul Vigneaux
1st French-Chinese Symposium on Microfluidics, Oct 2007, Beijing, China
Conference papers hal-00281524v1

Méthode Level Set pour des écoulements en microcanaux

Paul Vigneaux
38e Congrès National d'Analyse Numérique (CANUM 2006), May 2006, Guidel, France
Conference papers hal-00281518v1

Droplets in microchannels with Level Set method

Paul Vigneaux
European Conference on Computational Fluid Dynamics 2006 (ECCOMAS CFD 2006), Sep 2006, Egmond aan Zee, Netherlands. pp.180
Conference papers hal-00281517v1

Level Set method for bifluid flows in microchannels

Cedric Galusinski , Khodor Khadra , Paul Vigneaux
7th World Congress on Computational Mechanics (WCCM VII), Jul 2006, Los Angeles, United States
Conference papers hal-00281519v1
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Some Remarks on Avalanches Modelling: An Introduction to Shallow Flows Models

Enrique D. Fernandez-Nieto , Paul Vigneaux
Parés, Carlos; Vazquez Cendon, Carlos; Coquel, Frederic. Advances in Numerical Simulation in Physics and Engineering - Lecture Notes of the XV 'Jacques-Louis Lions' Spanish-French School, 3, Springer, pp.51-106, 2014, SEMA SIMAI Springer Series, 978-3-319-02838-5. ⟨10.1007/978-3-319-02839-2_2⟩
Book sections hal-01066445v1

A finite volume/duality method for Bingham viscoplastic flow

J.M. Gallardo , E. D. Fernández-Nieto , Paul Vigneaux
Elena Vázquez-Cendón ; Arturo Hidalgo ; Pilar Garcia Navarro ; Luis Cea. Numerical Methods for Hyperbolic Equations: Theory and Applications, CRC Press, pp.60, 2012, 9780415621502
Book sections hal-00768512v1
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Augmented Lagrangian Method and Compressible Visco-Plastic Flows : Applications to Shallow Dense Avalanches

Didier Bresch , Enrique D. Fernandez - Nieto , Ioan R. Ionescu , Paul Vigneaux
Fursikov, Andrei V., Galdi, Giovanni P., Pukhnachev, Vladislav V. New Directions in Mathematical Fluid Mechanics, Birkhäuser, pp.57-89, 2010, Advances in Mathematical Fluid Mechanics, 978-3-0346-0151-1
Book sections hal-00327369v1
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Level Set method for Curvature-driven Flows in Microfluidics

Paul Vigneaux
Deconinck, Herman; Dick, Erik (Eds.). Computational Fluid Dynamics 2006. Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD4, Ghent, Belgium, 10-14 July 2006, Springer Berlin Heidelberg, pp.595-600, 2009
Book sections hal-00281512v1
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Simulations of 3D Dynamics of Microdroplets: A Comparison of Rectangular and Cylindrical Channels

Charles-Henri Bruneau , Thierry Colin , Cedric Galusinski , Sandra Tancogne , Paul Vigneaux
K. Kunisch, G. Of, O. Steinbach. Numerical Mathematics and Advanced Applications. Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007, xxx (xxx), Springer Berlin Heidelberg, pp.449-456, 2008
Book sections hal-00291512v1
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Méthodes Level Set pour des problèmes d'interface en microfluidique

Paul Vigneaux
Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 2007. Français. ⟨NNT : ⟩
Theses tel-00189409v2
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Frontières libres

Paul Vigneaux
Mathematics [math]. École Normale Supérieure de Lyon, 2017
Habilitation à diriger des recherches tel-02296753v1