2 papers
math.NA2022
A staggered scheme for the compressible Euler equations on general 3D meshes
Aubin Brunel, Raphaèle Herbin, Jean-Claude Latché
We address here the discretization of the momentum convection operator for fluid flow simulations on 2D triangular and quadrangular meshes and 3D polyhedral meshes containing hexah…
math.NA2021
Convergence of the implicit MAC-discretized Navier--Stokes equations with variable density and viscosity on non-uniform grids
Léa Batteux, Thierry Gallouët, Raphaele Herbin +2
The present paper is focused on the proof of the convergence of the discrete implicit Marker-and-Cell (MAC) scheme for time-dependent Navier--Stokes equations with variable density…