L. Gastaldo

Institut de Radioprotection et de Sûreté Nucléaire (IRSN) | IRSN · LIE - Explosion and Fire Laboratory

In the context of large eddy simulation of turbulent flows, the control of kinetic energy seems to be an essential requirement for a numerical scheme. We propose in this paper a formally second order non-dissipative scheme dedicated to the numerical simulation of the filtered Naviers-Stokes equations for compressible flows. The spatial discretizati...

We present a numerical scheme for the solution of Euler equations based on staggered discretizations and working either on structured meshes or on general simplicial or tetrahedral/hexahedral meshes. The time discretization is performed by a fractional-step or segregated algorithm involving only explicit steps. The scheme solves the internal energy...

We present in this paper a class of schemes for the solution of the barotropic Navier- Stokes equations. These schemes work on general meshes, preserve the stability properties of the continuous problem, irrespectively of the space and time steps, and boil down, when the Mach number vanishes, to discretizations which are standard (and stable) in th...

We present in this paper a pressure correction scheme for the drift-flux model combining finite element and finite volume discretizations, which is shown to enjoy essential stability features of the continuous problem: the scheme is conservative, the unknowns are kept within their physical bounds and, in the homogeneous case (i.e. when the drift ve...

We present in this paper a numerical scheme for solving the time-independent first-order form of the Boltzmann equation in non-conforming 2D Cartesian meshes. The flux solution technique used here is the discrete ordinate method and the spatial discretization is based on discontinuous finite elements. In order to have p-refinement capability, we ha...

We address in this paper a parabolic equation used to model the phase mass balance in two-phase flows, which differs from the mass balance for chemical species in compressible multicomponent flows by the addition of a nonlinear term of the form ∇·ρφ(y)ur, where y is the unknown mass fraction, ρ stands for the density, φ is a regular function such t...

. In this paper, we build a L2-stable discretization of the non-linear convection term in Navier-Stokes equations for non-divergence-free flows, for non-conforming low order Stokes finite elements. This discrete operator is obtained by a finite volume technique, and its stability relies on a result interesting for its own sake: the L 2-stability of...

We present in this paper a pressure correction scheme for the drift-flux model combining finite element and finite volume discretizations, which is shown to enjoy essential stability features of the continuous problem: the scheme is conservative, the unknowns are kept within their physical bounds and, in the homogeneous case (i.e. when the drift ve...

We present in this paper a pressure correction scheme for barotropic compressible Navier-Stokes equations, which enjoys an unconditional stability property, in the sense that the energy and maximum-principle-based a priori estimates of the continuous problem also hold for the discrete solu-tion. The stability proof is based on two independent resul...

This paper is concerned with a pressure correction scheme for the homogeneous model of a two-phase flow with two barotropic phases. This scheme combines finite element and finite volume discretizations and is based on an original pressure correction step coupling the mixture mass balance and the mass balance of one of the phases. It respects the es...