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Sébastien BOYAVAL

Chercheur - Directeur

Ecole des Ponts ParisTech / Laboratoire d'Hydraulique Saint-Venant

Member of Team projectMATHERIALS Inria Paris

Fields of interest

Numerical analysis ; Partial Differential Equations ; Continuum Mechanics ; Rheology

Theses supervised

Arthur Guillot-LeGoff (2021-...) with Brigitte Vincon-Leite (ENPC)

Jean-Paul Travert (2021-...)

Elisa Béteille (2021-...) with Frédérique Larrarte (UGE)

Jana Tarhini (2021-...) with Quang Huy Tran (IFPEN)

Sofiane Martel (2016-2019)

Riad Sanchez (2014-2017) with Quang Huy Tran (IFPEN)


  • Jana Tarhini, Sébastien Boyaval, Guillaume Enchéry, Quang Huy Tran. Reduced Basis method for finite volume simulations of parabolic PDEs applied to porous media flows. 2024. ⟨hal-04608663⟩
  • Frédérique Larrarte, Elisa Beteille, Sébastien Boyaval, Eric Demay. Experimental and numerical investigation of dam break flow propagation through various obstacle configurations. SimHydro 2023: New modelling paradigms for water issues?, Nov 2023, Chatou, France. ⟨hal-04344859⟩
  • Elisa Beteille, Frédérique Larrarte, Sébastien Boyaval, Eric Demay. Providing Validation Data for Numerical Codes Dealing with Unsteady Urban Flooding. 40th IAHR World Congress - "Rivers ? Connecting Mountains and Coasts", Aug 2023, Vienna, Austria. pp.1456-1464, ⟨10.3850/978-90-833476-1-5_iahr40wc-p0127-cd⟩. ⟨hal-04327205⟩
  • Sébastien Boyaval. A CLASS OF SYMMETRIC-HYPERBOLIC PDES MODELLING FLUID AND SOLID CONTINUA. ESAIM: Proceedings and Surveys, In press. ⟨hal-04223434⟩
  • Sébastien Boyaval. About the structural stability of Maxwell fluids: convergence toward elastodynamics. 2022. ⟨hal-03899611⟩
  • Sébastien Boyaval, Sofiane Martel, Julien Reygner. Finite-Volume approximation of the invariant measure of a viscous stochastic scalar conservation law. 2021. ⟨hal-02291253v3⟩
  • Sébastien Boyaval, Mark Dostalík. Non-isothermal viscoelastic flows with conservation laws and relaxation. 2021. ⟨hal-03206116⟩
  • Sébastien Boyaval, Sofiane Martel, Julien Reygner. Finite-Volume approximation of the invariant measure of a viscous stochastic scalar conservation law. 2021. ⟨hal-02291253v2⟩
  • Sébastien Boyaval. Viscoelastic flows of Maxwell fluids with conservation laws. 2020. ⟨hal-02908379⟩
  • Sébastien Boyaval, Sofiane Martel, Julien Reygner. Finite-Volume approximation of the invariant measure of a viscous stochastic scalar conservation law. 2019. ⟨hal-02291253⟩
  • Sébastien Boyaval. Viscoelastic flows with conservation laws. 2019. ⟨hal-02262298⟩
  • Sébastien Boyaval, Alexandre Caboussat, Arwa Mrad, Marco Picasso, Gilles Steiner. A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows. Computers & Fluids, Elsevier, 2018, 172, pp.384-396. 〈〉. 〈hal-01940147〉
  • Riad Sanchez, Sébastien Boyaval, Guillaume Enchéry, Quang Huy Tran. An application of the Reduced-Basis Method for Darcy flows. Recent Developments in Numerical Methodes for Model Reduction, Nov 2016, Paris, France. 〈hal-01901973〉
  • Mark Kaercher, Sébastien Boyaval, Martin Grepl, Karen Veroy. Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation. 2018. 〈hal-01556304〉
  • Sébastien Boyaval. Derivation and numerical approximation of hyperbolic viscoelastic flow systems: Saint-Venant 2D equations for Maxwell fluids. 2017. 〈hal-01661269〉
  • Quang Huy Tran, Guillaume Enchéry, Riad Sanchez, Sébastien Boyaval. A Reduced-Basis Approach to Two-Phase Flow in Porous Media. FVCA 2017, Jun 2017, Lille, France. 2017, Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. 〈10.1007/978-3-319-57394-6_50〉. 〈hal-01587116〉
  • John Barrett, Sébastien Boyaval. Finite Element Approximation of the FENE-P Model. 2017. 〈hal-01501197〉
  • Nabil El Moçayd, Sophie Ricci, Nicole Goutal, Mélanie C. Rochoux, Sébastien Boyaval, et al.. Polynomial Surrogates for Open-Channel Flows in Random Steady State. Environmental Modeling & Assessment, Springer, 2017, 〈10.1007/s10666-017-9582-2〉. 〈hal-01763259〉
  • Sébastien Boyaval. A Finite-Volume discretization of viscoelastic Saint-Venant equations for FENE-P fluids. Clément Cancès; Pascal Omnes. Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, 200, Springer, pp.163-170, 2017, Print ISBN : 978-3-319-57393-9 / online : 978-3-319-57394-6. 〈10.1007/978-3-319-57394-6_18〉. 〈〉. 〈hal-01433712〉
  • Sébastien Boyaval. Johnson-Segalman – Saint-Venant equations for viscoelastic shallow flows in the elastic limit. XVI International Conference on Hyperbolic Problems Theory, Numerics, Applications (Hyp2016), Aug 2016, Aachen, Germany. 2017, 〈〉. 〈hal-01402628〉
  • François Bouchut, Sébastien Boyaval. Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. European Journal of Mechanics - B/Fluids, Elsevier, 2016, 55 (1), pp.116-131. 〈10.1016/j.euromechflu.2015.09.003〉. 〈hal-00833468v2〉
  • Joubine Aghili, Sébastien Boyaval, Daniele Di Pietro. Hybridization of Mixed High-Order Methods on General Meshes and Application to the Stokes Equations. Computational Methods in Applied Mathematics, De Gruyter, 2015, 15 (2), pp.111-134. 〈10.1515/cmam-2015-0004〉. 〈hal-01009723v2〉
  • Emmanuel Audusse, Sébastien Boyaval, Yueyuan Gao, Danielle Hilhorst. NUMERICAL SIMULATIONS OF THE PERIODIC INVISCID BURGERS EQUATION WITH STOCHASTIC FORCING. France. 48, pp.308-320, 2015, ESAIM: Proceedings and Surveys. 〈hal-00962213v2〉
  • Emmanuel Audusse, Sébastien Boyaval, Nicole Goutal, Magali Jodeau, Philippe Ung. Numerical Simulation of the Dynamics of Sedimentary River Beds with a Stochastic Exner Equation. ESAIM: Proceedings and Surveys, EDP Sciences, 2015, 48, pp.321 - 340. 〈10.1051/proc/201448015〉. 〈hal-01102335〉
  • Nicolas James, Alexandre Caboussat, Sébastien Boyaval, M. Picasso. Numerical simulation of 3D free surface flows, with multipleincompressible immiscible phases. Applications to impulse waves. International Journal for Numerical Methods in Fluids, Wiley, 2014, pp.00:1-24. 〈hal-01074886〉
  • Sébastien Boyaval. A new model for shallow viscoelastic free-surface flows forced by gravity on rough inclined bottom. ESAIM: Proceedings, EDP Sciences, 2014, 45, pp.108 - 117. 〈hal-01077067〉
  • François Bouchut, Sébastien Boyaval. A new model for shallow viscoelastic fluids. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2013, 23 (8), pp.1479-1526. 〈10.1142/S0218202513500140〉. 〈hal-00628651v2〉
  • Sébastien Boyaval, M. Picasso. A posteriori analysis of Chorin-Temam scheme for Stokes equations. Comptes Rendus Mathématique, Elsevier Masson, 2013, 351 (23-24), pp.931-936. 〈10.1016/j.crma.2013.10.026〉. 〈hal-00876069〉
  • Sébastien Boyaval. A fast Monte-Carlo method with a Reduced Basis of Control Variates applied to Uncertainty Propagation and Bayesian Estimation. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2012, 241-244, pp.190-205. 〈10.1016/j.cma.2012.05.003〉. 〈hal-00666264〉
  • Alexandre Caboussat, Sébastien Boyaval, Alexandre Masserey. On the Modeling and Simulation of Non-Hydrostatic Dam Break Flows. Computing and Visualization in Science, Springer Verlag, 2011, 14 (8), pp.401-417. 〈10.1007/s00791-013-0190-7〉. 〈hal-00808087〉
  • Sébastien Boyaval, Claude Le Bris, Tony Lelièvre, Yvon Maday, Ngoc Cuong Nguyen, et al.. Reduced basis techniques for stochastic problems. Archives of Computational Methods in Engineering, Springer Verlag, 2010, 17 (4), pp.435-454. 〈10.1007/s11831-010-9056-z〉. 〈hal-00470522〉
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