Stéphane DEL PINO
Stéphane Del Pino is a Research Engineer and holds an HDR in Applied Mathematics. He is currently member of an R&D team at CEA whose objective is to develop new models and new numerical methods for HPC numerical simulation codes.
His main research topics are on the one hand finite-volume methods and more specifically their application to the approximation of gas dynamics in Lagrangian coordinates; and in the other hand mesh adaptation methods.
PhDs co-supervised
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A. DROUARD, Méthode numérique semi-implicite pour le modèle de l’hyper élasticité, Thèse de doctorat Sorbonne Paris Saclay / CEA, en cours.
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A. PLESSIER, Schémas implicites semi-Lagrangiens pour la dynamique des gaz compressibles, Thèse de doctorat Sorbonne Université / CEA, 2023.
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D. YAKOUBI, Analyse et mise en oeuvre de nouveaux algorithmes en méthodes spectrales, Thèse de doctorat CEA/Univ. Pierre et Marie Curie, Paris 6, 2007.
2023
Journal of Computational Physics, Volume 478, 1 April 2023, 2023
abstract
Abstract
In this paper, we propose an adaptive mesh refinement method for 2D multi-material compressible non-viscous flows in semi-Lagrangian coordinates. The mesh adaptation procedure is local and relies on a discrete metric field evaluation. The remapping method is second-order accurate and we prove its stability. We propose a multi-material treatment using two ingredients: the local remeshing is performed in a way that reduces as much as possible the creation of mixed cells and an interface reconstruction method that can be used to avoid the diffusion of the material interfaces. The obtained method is almost Lagrangian and can be implemented in a parallel framework. We provide some numerical tests which attest the validity of the method and its robustness.
ESAIM M2AN Volume 57, Number 2, March-April 2023, 2023
abstract
Abstract
We construct an original framework based on convex analysis to prove the existence and uniqueness of a solution to a class of implicit numerical schemes. We propose an application of this general framework in the case of a new non linear implicit scheme for the 1D Lagrangian gas dynamics equations. We provide numerical illustrations that corroborate our proof of unconditional stability for this non linear implicit scheme.
J. Comput. Phys., p. 268 - 301, 2018
ESAIM: Math. Model. Numer. Anal., EDP Sciences, p. 187-214, 2016
Journal of Computational Physics, Elsevier, p. 1793-1821, 2011
Comptes Rendus Mathématique, Elsevier, p. 1027-1032, 2010
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, p. 693-713, 2010
J. Comput. Phys., p. 5160-5183, 2009
ESAIM: Proc., p. 1008-1024, 2009
Computers & Fluids, Elsevier, p. 765-777, 2009
ESAIM: Proceedings, EDP Sciences, p. 46-59, 2008
Comptes Rendus Mathematique, Elsevier, p. 533-538, 2008
Numerical Analysis and Scientific Computing for PDEs and their challenging applications, 2007
Comptes Rendus Mathematique, Elsevier, p. 441-446, 2006
Computational Geosciences, Springer, p. 149-162, 2004
Proceedings of the 5th Eurographics conference on Parallel Graphics and Visualization, Eurographics Association, p. 49-58, 2004
Numerical methods for scientific computing variational problems and applications, Barcelona, 2003
Mathematical Modeling and Numerical Simulation in Continuum Mechanics, Springer, p. 125-135, 2002
ESAIM: Proceedings, EDP Sciences, p. 267-275, 2001
Comptes Rendus de l'Académie des Sciences-Series I-Mathematics, Elsevier, p. 1107-1111, 2000