On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

With this correction, we are once again able to prove, in 1D, the consistency of the scheme in the Lax-Wendroff sense; more precisely speaking, passing to the limit separately in

But conversely to what occurred in the previous section, this result is now dependent on the type of vertical coordinate used: for height-based coordi- nates, the same kind of

Still for mass-based vertial oordinates, an optimal prognosti variable is proposed,.. and shown to result in a robustness similar to the one observed for the

In this work, we have derived the incompressible Euler equations from the Boltz- mann equation in the case of the initial boundary value problem, for a class of boundary conditions

We compare the SI two-speed scheme with the classical Rusanov scheme with 120 × 120 cells. 6) shows 2D plots of the norm of the velocity at final time T f = 1 as well as 1D cuts of

We propose a family of simple second order accurate schemes for the nu- merical solution of Euler equation of gas dynamics that are (linearly) implicit in the acoustic

A new approach of high order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. On the advantage