Convergence of a streamline method for hyperbolic problems

Abstract: In this paper we study the convergence of a streamline method for an hyperbolic problem. Our motivation for this method arises from the problem of simulating multi-phase flow in porous media.

In fact, the streamline method has been applied successfully to reservoir simulation. There is however no study of the convergence of this method. We prove the convergence in a simplified case. In particular, we assume that the velocity depends only on the space variable.

Date of publication : February 2005

Paper presented by Professor Jean-Marc Herard