24 citations · 32 across the 7 of their papers we have counts for
9 papers
Fourth-order entropy-stable lattice Boltzmann schemes for hyperbolic systems
Thomas Bellotti, Philippe Helluy, Laurent Navoret
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…
Stability analysis of the vectorial lattice-Boltzmann method
Kévin Guillon, Romane Hélie, Philippe Helluy
We propose a new stability analysis of the Vectorial Lattice-Boltzmann Method (VLBM). The VLBM is a variant of the LBM with extended stability features: it allows to handle compres…
Reducing the memory usage of Lattice-Boltzmann schemes with a DWT-based compression
Clément Flint, Philippe Helluy
This paper presents a new solution to address the challenge of increasing memory usage in high-performance computing simulations of Lattice-Bolzmann or Finite-Volume schemes.Our ap…
Parallel kinetic schemes for conservation laws, with large time steps
Pierre Gerhard, Philippe Helluy, Victor Michel-Dansac +1
We propose a new parallel Discontinuous Galerkin method for the approximation of hyperbolic systems of conservation laws. The method remains stable with large time steps, while kee…
An analysis of over-relaxation in kinetic approximation
Florence Drui, Emmanuel Franck, Philippe Helluy +1
The over-relaxation approach is an alternative to the Jin-Xin relaxation method (Jin and Xin [1]) in order to apply the equilibrium source term in a more precise way (Coulette et a…
High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation
David Coulette, Emmanuel Franck, Philippe Helluy +2
We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an e…
Task-based parallelization of an implicit kinetic scheme
Jayesh Badwaik, Matthieu Boileau, David Coulette +4
In this paper we present and implement the Palindromic Discontinuous Galerkin (PDG) method in dimensions higher than one. The method has already been exposed and tested in [4] in t…
Palindromic discontinuous Galerkin method for kinetic equations with stiff relaxation
David Coulette, Emmanuel Franck, Philippe Helluy +2
We present a high order scheme for approximating kinetic equations with stiff relaxation. The objective is to provide efficient methods for solving the underlying system of conserv…
A well-balanced scheme for two-fluid flows in variable cross-section ducts
Philippe Helluy, Jonathan Jung
We propose a finite volume scheme for computing two-fluid flows in variable cross-section ducts. Our scheme satisfies a well-balanced property. It is based on the VFRoe approach. T…