558 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- E. Galichet2 profiles25 · h 26
- B. Borderie2 profiles22 · h 39
- M. Pârlog2 profiles22 · h 29
- R. Bougault2 profiles22 · h 33
- A. Chbihi2 profiles21 · h 32
- J. Frankland19 · h 29
- O. Lopez2 profiles19 · h 30
- M. Vigilante2 profiles18 · h 29
- M. Cadoret16 · h 17
- S. Guellati-Khélifa16 · h 16
- M. Rivet2 profiles15 · h 35
- E. Bonnet14 · h 17
- Centre National de la Recherche ScientifiqueFR117 papers
- Centre d'études et de recherche en informatique et communicationsFR56 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR48 papers
- Grand Accélérateur National d'Ions LourdsFR46 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR45 papers
- Laboratoire de Physique Corpusculaire de CaenFR42 papers
- École Nationale Supérieure d'Ingénieurs de CaenFR36 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT36 papers
- Université Paris-SudFR35 papers
- Sorbonne UniversitéFR34 papers
- Université Paris-SaclayFR30 papers
- Laboratoire commun de métrologieFR25 papers
17 papers · 1 filter
Generalizing the SINDy approach with nested neural networks
Camilla Fiorini, Clément Flint, Louis Fostier +4
Symbolic Regression (SR) is a widely studied field of research that aims to infer symbolic expressions from data. A popular approach for SR is the Sparse Identification of Nonlinea…
On single distribution lattice Boltzmann schemes for the approximation of Navier Stokes equations
François Dubois, Pierre Lallemand
In this contribution we study the formal ability of a multi-resolution-times lattice Boltzmann scheme to approximate isothermal and thermal compressible Navier Stokes equations wit…
Generalized bounce back boundary condition for the nine velocities two-dimensional lattice Boltzmann scheme
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek
In a previous work, we have proposed a method for the analysis of the bounce back boundary condition with the Taylor expansion method in the linear case. In this work two new schem…
Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes
François Dubois
We propose a formal expansion of multiple relaxation times lattice Boltzmann schemes in terms of a single infinitesimal numerical variable. The result is a system of partial differ…
Analysis of parametric models - linear methods and approximations
Hermann G. Matthies, Roger Ohayon
Parametric models in vector spaces are shown to possess an associated linear map. This linear operator leads directly to reproducing kernel Hilbert spaces and affine- / linear- rep…
Equivalent partial differential equations of a lattice Boltzmann scheme
François Dubois
We show that when we formulate the lattice Boltzmann equation with a small time step t and an associated space scale x, a Taylor expansion joined with the so-called equivalen…
Analysis of parametric models for coupled systems
Hermann G. Matthies, Roger Ohayon
In many instances one has to deal with parametric models. Such models in vector spaces are connected to a linear map. The reproducing kernel Hilbert space and affine- / linear- rep…
Recovering the full Navier Stokes equations with lattice Boltzmann schemes
François Dubois, Benjamin Graille, Pierre Lallemand
We consider multi relaxation times lattice Boltzmann scheme with two particle distributions for the thermal Navier Stokes equations formulated with conservation of mass and momentu…
Raviart Thomas Petrov-Galerkin Finite Elements
François Dubois, Isabelle Greff, Charles Pierre
The general theory of Babuška ensures necessary and sufficient conditions for a mixed problem in classical or Petrov-Galerkin form to be well posed in the sense of Hadamard. Moreov…
Kron's method and cell complexes for magnetomotive and electromotive forces
Olivier Maurice, Alain Reineix, Philippe Durand +1
Starting from topological principles we first recall the elementary ones giving Kirchhoff's laws for current conservation. Using in a second step the properties of spaning tree, we…
On a superconvergent lattice Boltzmann boundary scheme
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek
In a seminal paper Ginzburg and Adler analyzed the bounce-back boundary conditions for the lattice Boltzmann scheme and showed that it could be made exact to second order for the P…
On triangular lattice Boltzmann schemes for scalar problems
François Dubois, Pierre Lallemand
We propose to extend the d'Humiéres version of the lattice Boltzmann scheme to triangular meshes. We use Bravais lattices or more general lattices with the property that the degree…
Comparison of Simulations of Convective Flows
Pierre Lallemand, François Dubois
We show that a single particle distribution for the D2Q13 lattice Boltzmann scheme can simulate coupled effects involving advection and diffusion of velocity and temperature. We co…
Unconditionnally stable scheme for Riccati equation
François Dubois, Abdelkader Saïdi
We present a numerical scheme for the resolution of matrix Riccati equation used in control problems. The scheme is unconditionnally stable and the solution is definite positive at…
Stable lattice Boltzmann schemes with a dual entropy approach for monodimensional nonlinear waves
François Dubois
We follow the mathematical framework proposed by Bouchut and present in this contribution a dual entropy approach for determining equilibrium states of a lattice Boltzmann scheme.…
Quartic Parameters for Acoustic Applications of Lattice Boltzmann Scheme
François Dubois, Pierre Lallemand
Using the Taylor expansion method, we show that it is possible to improve the lattice Boltzmann method for acoustic applications. We derive a formal expansion of the eigenvalues of…
Towards higher order lattice Boltzmann schemes
François Dubois, Pierre Lallemand
In this contribution we extend the Taylor expansion method proposed previously by one of us and establish equivalent partial differential equations of DDH lattice Boltzmann scheme…