Volume 12 (2015)

Abstract :

We detail in this paper an integral approach in order to cope with the computation of flows of a compressible fluid in a physical domain containing many small obstacles. The basic methodology and the main ingredients used in schemes are provided, together with some exact solutions that are used to benchmark the integral approach. The latter is compared to the reference solution that accounts for all obstacles through standard wall-boundary conditions. Numerical results are also shown to be more accurate than the standard well-balanced approach. This work is actually the sequel of paper [1] that investigates the computation of compressible flows in variable cross-section ducts.

Keywords : Paper presented by: Jiri Furst

Abstract

In this paper, we study the numerical approximation of a system of partial differential equations describing the corrosion of an iron based alloy in a nuclear waste repository. In particular, we are interested in the convergence of a numerical scheme consisting in an implicit Euler scheme in time and a Scharfetter-Gummel finite volume scheme in space.

Keywords : finite volume scheme, corrosion model, convergence analysis, drift-diffusion system

Paper presented by: Pascal Omnes