Explanipedia

Neural semi-Lagrangian method for high-dimensional advection-diffusion problems Open

Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret, Vincent Vigon · 2025

Neural non-canonical Hamiltonian dynamics for long-time simulations Open

Clémentine Courtès, Emmanuel Franck, M. Kraus, Laurent Navoret, Léopold Trémant · 2025

This work focuses on learning non-canonical Hamiltonian dynamics from data, where long-term predictions require the preservation of structure both in the learned model and in numerical schemes. Previous research focused on either facet, re…

Reduced Particle in Cell method for the Vlasov-Poisson system using auto-encoder and Hamiltonian neural Open

Emmanuel Franck, Laurent Navoret, Vincent Vigon, Raphaël Côte, Guillaume Steimer · 2025

Hamiltonian particle-based simulations of plasma dynamics are inherently computationally intensive, primarily due to the large number of particles required to obtain accurate solutions. This challenge becomes even more acute in many-query …

Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems Open

Thomas Bellotti, Philippe Helluy, Laurent Navoret · 2025

We present a novel framework for the development of fourth-order lattice Boltzmann schemes to tackle multidimensional nonlinear systems of conservation laws. As for other numerical schemes for hyperbolic problems, high-order accuracy appli…

Neural Semi-Lagrangian Method for High-Dimensional Advection-Diffusion Problems Open

Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret, Vincent Vigon · 2025

An Optimal Control Deep Learning Method to Design Artificial Viscosities for Discontinuous Galerkin Schemes Open

Léo Bois, Emmanuel Franck, Laurent Navoret, Vincent Vigon · 2024

Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks Open

Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret · 2024

Hard congestion limit of the dissipative Aw–Rascle system Open

Nazia Chaudhuri, Laurent Navoret, C. Perrin, Ewelina Zatorska · 2024

In this study, we analyse the famous Aw–Rascle system in which the difference between the actual and the desired velocities (the offset function) is a gradient of a singular function of the density. This leads to a dissipation in the momen…

Spontaneous rotations in epithelia as an interplay between cell polarity and boundaries Open

Silvia Lo Vecchio, Olivier Pertz, Marcela Szopos, Laurent Navoret, Daniel Riveline · 2024

Hyperbolic reduced model for Vlasov-Poisson equation with Fokker-Planck collision Open

Emmanuel Franck, Ibtissem Lannabi, Youssouf Nasseri, Laurent Navoret, Giuseppe Parasiliti Rantone , et al. · 2024

This paper proposes a reduced model to simulate the one-dimensional Vlasov-Poisson equation with the non-linear Fokker-Planck operator. The model provides the space-time dynamics of a few macroscopic quantities constructed following the Re…

Editorial of CEMRACS 2022 Open

Emmanuel Franck, Hélène Hivert, Guillaume Latu, Hélène Leman, Bertrand Maury , et al. · 2024

Hamiltonian reduction using a convolutional auto-encoder coupled to an Hamiltonian neural network Open

Raphaël Côte, Emmanuel Franck, Laurent Navoret, Guillaume Steimer, Vincent Vigon · 2023

The reduction of Hamiltonian systems aims to build smaller reduced models, valid over a certain range of time and parameters, in order to reduce computing time. By maintaining the Hamiltonian structure in the reduced model, certain long-te…

Optimal scenario for road evacuation in an urban environment Open

Mickael Bestard, Emmanuel Franck, Laurent Navoret, Yannick Privat · 2023

How to free a road from vehicle traffic as efficiently as possible and in a given time, in order to allow for example the passage of emergency vehicles? We are interested in this question which we reformulate as an optimal control problem.…

Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks Open

Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret · 2023

This work concerns the enrichment of Discontinuous Galerkin (DG) bases, so that the resulting scheme provides a much better approximation of steady solutions to hyperbolic systems of balance laws. The basis enrichment leverages a prior - a…

An optimal control deep learning method to design artificial viscosities for Discontinuous Galerkin schemes Open

L éo Bois, Emmanuel Franck, Laurent Navoret, Vincent Vigon · 2023

In this paper, we propose a method for constructing a neural network viscosity in order to reduce the non-physical oscillations generated by high-order Discontiuous Galerkin (DG) methods. To this end, the problem is reformulated as an opti…

Composition Schemes for the Guiding-Center Model Open

Michel Méhrenberger, Laurent Navoret, Anh-Tuan Vu · 2023

Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems Open

Emmanuel Franck, Jürgen Fuhrmann, Victor Michel-Dansac, Laurent Navoret · 2023

Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems Open

Emmanuel Franck, Jürgen Fuhrmann, Victor Michel-Dansac, Laurent Navoret · 2023

Parallel kinetic scheme for transport equations in complex toroidal geometry Open

Matthieu Boileau, Bérenger Bramas, Emmanuel Franck, Romane Hélie, Philippe Helluy , et al. · 2022

We present an efficient solver for the conservative transport equation with variable coefficients in complex toroidal geometries. The solver is based on a kinetic formulation resembling the Lattice-Boltzmann approach. The chosen formalism …

Reduced modelling and optimal control of epidemiological individual-based models with contact heterogeneity Open

Clémentine Courtès, Emmanuel Franck, Killian Lutz, Laurent Navoret, Yannick Privat · 2022

Modelling epidemics via classical population-based models suffers from shortcomings that so-called individual-based models are able to overcome, as they are able to take heterogeneity features into account, such as super-spreaders, and des…

A neural network closure for the Euler-Poisson system based on kinetic simulations Open

Léo Bois, Emmanuel Franck, Laurent Navoret, Vincent Vigon · 2021

This work deals with the modeling of plasmas, which are ionized gases. Thanks to machine learning, we construct a closure for the one-dimensional Euler-Poisson system valid for a wide range of collisional regimes. This closure, based on a …

Spontaneous rotations in epithelia as an interplay between cell polarity and boundaries Open

Silvia Lo Vecchio, Olivier Pertz, Marcela Szopos, Laurent Navoret, Daniel Riveline · 2021

Directed flows of cells in vivo are essential in morphogenesis. They shape living matter in phenomena involving cell mechanics and regulations of the acto-myosin cytoskeleton. However the onset of coherent motion is still poorly understood…

A neural network closure for the Euler-Poisson system based on kinetic simulations Open

Léo Bois, Emmanuel Franck, Laurent Navoret, Vincent Vigon · 2020

This work deals with the modeling of plasmas, which are charged-particle fluids. Thanks to machine leaning, we construct a closure for the one-dimensional Euler-Poisson system valid for a wide range of collision regimes. This closure, base…

Recurrence Phenomenon for Vlasov-Poisson Simulations on Regular Finite Element Mesh Open

Michel Méhrenberger, Laurent Navoret, Nhung Pham · 2020

International audience

Collective Dynamics of Focal Adhesions Regulate Direction of Cell Motion Open

Simon Lo Vecchio, Raghavan Thiagarajan, David Caballero, Vincent Vigon, Laurent Navoret , et al. · 2020

A Low Cost Semi-implicit Low-Mach Relaxation Scheme for the Full Euler Equations Open

François Bouchut, Emmanuel Franck, Laurent Navoret · 2020

Kinetic Over-Relaxation Method for the Convection Equation with Fourier Solver Open

Romane Hélie, Philippe Helluy, Emmanuel Franck, Laurent Navoret · 2020

Semi-implicit Two-Speed Well-Balanced Relaxation Scheme for Ripa Model Open

Emmanuel Franck, Laurent Navoret · 2020

Cell migration in complex environments: chemotaxis and topographical obstacles Open

Alessandro Cucchi, Christèle Etchegaray, Nicolas Meunier, Laurent Navoret, Lamis Sabbagh · 2020

Cell migration is a complex phenomenon that plays an important role in many biological processes. Our aim here is to build and study models of reduced complexity to describe some aspects of cell motility in tissues. Precisely, we study the…

Parallel lattice-boltzmann transport solver in complex geometry Open

Matthieu Boileau, Bérenger Bramas, Emmanuel Franck, Romane Hélie, Philippe Helluy , et al. · 2019

We present an efficient solver for the conservative transport equation with variable coefficients in complex geometries. The solver is based on a kinetic formulation resembling the Lattice-Boltzmann approach. The chosen formalism allows to…

Laurent Navoret YOU? Author Swipe