paper

Applications of the DFLU flux to systems of conservation laws

arXiv:0908.0320 · doi:10.1016/j.cam.2012.12.025

Abstract

The DFLU numerical flux was introduced in order to solve hyperbolic scalar conservation laws with a flux function discontinuous in space. We show how this flux can be used to solve systems of conservation laws. The obtained numerical flux is very close to a Godunov flux. As an example we consider a system modeling polymer flooding in oil reservoir engineering.