1 citations · 1 across the 6 of their papers we have counts for
6 papers
Variational discretizations of viscous and resistive magnetohydrodynamics using structure-preserving finite elements
Valentin Carlier
We propose a novel structure preserving discretization for viscous and resistive magnetohydrodynamics. We follow the recent line of work on discrete least action principle for flui…
A least Action principle for visco-resistive Hall Magnetohydrodynamic with metriplectic reformulation
Valentin Carlier, Martin Campos-Pinto
We present a new variational formulation for Viscous and resistive Hall Magnetohydrodynamic. We first find a variational principle for ideal HMHD by applying the physical assumptio…
Metriplectic formulations of variational thermodynamics
Valentin Carlier
We propose a metriplectic reformulation of Lagrangian variational formulations for non-equilibrium thermodynamics. We prove that solutions to these constrained variational principl…
Variational discretizations of ideal magnetohydrodynamics in smooth regime using finite element exterior calculus
Valentin Carlier, Martin Campos-Pinto
We propose a new class of finite element approximations to ideal compressible magnetohydrodynamic equations in smooth regime. Following variational approximations developed for flu…
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier-Stokes equations
Valentin Carlier, Martin Campos Pinto, Francesco Fambri
In this article we propose two finite element schemes for the Navier-Stokes equations, based on a reformulation that involves differential operators from the de Rham sequence and a…
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…