@inproceedings{85041165fbfd4ab595e778bd99c03ef8,
title = "New numerical approaches to multiphase flows modeling",
abstract = "We present new numerical approaches for solving systems of partial differential equations associated with mathematical models for multiphase flows. We are concerned with the construction of modern numerical methods for solving the equations for hyperbolic models in conservative or non-conservative form. Here, we apply new approximate Riemann solvers for two-phase flow, whereby, a closed-form non-iterative solution can be obtained,1 and a new approach for general hyperbolic systems called EVILIN.2 In order to produce upwind numerical methods, the local approximate Riemann solution provides the necessary information to compute numerical fluxes that can be used in the finite volume approach or the Discontinuous Galerkin approach.",
keywords = "Conservative methods, Finite volumes, Multiphase flows, Non-conservative methods, Riemann solvers, Shock capturing",
author = "Castro, \{C. E.\} and Toro, \{E. F.\}",
year = "2005",
language = "English",
isbn = "9781567002393",
series = "Advancements in Energetic Materials and Chemical Propulsion",
pages = "602--620",
booktitle = "Advancements in Energetic Materials and Chemical Propulsion",
note = "6th International Symposium on Special Topics in Chemical Propulsion: Advancements in Energetic Materials and Chemical Propulsion, ISICP 2006 ; Conference date: 08-03-2005 Through 11-03-2005",
}