Path-conservative in-cell discontinuous reconstruction schemes for non conservative hyperbolic systems
Path-conservative in-cell discontinuous reconstruction schemes for non conservative hyperbolic systems
We are interested in the numerical approximation of discontinuous solutions in non conservative hyperbolic systems.We introduce the basics of a new strategy based on in-cell discontinuous reconstructions to deal with this challenging topic, and apply it to a 2x2 non conservative toy model, and a 3x3 gas dynamics system in …