60 citations · 176 across the 14 of their papers we have counts for
12 papers · 1 filter
Invariant domain preserving limiting of time explicit and time implicit discretizations for systems of conservation laws
Bartolomeo Fanizza, Florent Renac
This work concerns the design and analysis of a limiting technique that allows the preservation of invariant domains for high-order numerical approximations of nonlinear hyperbolic…
A data-driven learned discretization approach in finite volume schemes for hyperbolic conservation laws and varying boundary conditions
Guillaume de Romémont, Florent Renac, Jorge Nunez +1
This paper presents a data-driven finite volume method for solving 1D and 2D hyperbolic partial differential equations. This work builds upon the prior research incorporating a dat…
Maximum principle preserving time implicit DGSEM for nonlinear scalar conservation laws
Florent Renac
This work concerns the analysis of the discontinuous Galerkin spectral element method (DGSEM) with implicit time stepping for the numerical approximation of nonlinear scalar conser…
Maximum principle preserving time implicit DGSEM for linear scalar hyperbolic conservation laws
Riccardo Milani, Florent Renac, Jean Ruel
We investigate the properties of the high-order discontinuous Galerkin spectral element method (DGSEM) with implicit backward-Euler time stepping for the approximation of hyperboli…
Invariant domain preserving high-order spectral discontinuous approximations of hyperbolic systems
Florent Renac, Valentin Carlier
We propose a limiting procedure to preserve invariant domains with time explicit discrete high-order spectral discontinuous approximate solutions to hyperbolic systems of conservat…
A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model
Rémi Abgrall, Pratik Rai, Florent Renac
In this work, we propose an accurate, robust, and stable discretization of the gamma-based compressible multicomponent model by Shyue [J. Comput. Phys., 142 (1998), 208-242] where…
Energy relaxation approximation for the compressible multicomponent flows in thermal nonequilibrium
Claude Marmignon, Fabio Naddei, Florent Renac
This work concerns the numerical approximation with a finite volume method of inviscid, nonequilibrium, high-temperature flows in multiple space dimensions. It is devoted to the an…
An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model
Frédéric Coquel, Claude Marmignon, Pratik Rai +1
In this work we propose a high-order discretization of the Baer-Nunziato two-phase flow model (Baer and Nunziato, Int. J. Multiphase Flow, 12 (1986), pp. 861-889) with closures for…
Entropy stable, robust and high-order DGSEM for the compressible multicomponent Euler equations
Florent Renac
This work concerns the numerical approximation of a multicomponent compressible Euler system for a fluid mixture in multiple space dimensions on unstructured meshes with a high-ord…
Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows
Florent Renac
In this work, we consider the discretization of nonlinear hyperbolic systems in nonconservative form with the high-order discontinuous Galerkin spectral element method (DGSEM) base…
A robust high-order Lagrange-projection like scheme with large time steps for the isentropic Euler equations
Florent Renac
We present an extension to high-order of a first-order Lagrange-projection like method for the approximation of the Euler equations introduced in Coquel {\it et al.} (Math. Comput.…
Stationary discrete shock profiles for scalar conservation laws with a discontinuous Galerkin method
Florent Renac
We present an analysis of stationary discrete shock profiles for a discontinuous Galerkin method approximating scalar nonlinear hyperbolic conservation laws with a convex flux. Usi…