@Article{CiCP-24-2,
author = {},
title = {A Second-Order Path-Conservative Method for the Compressible Non-Conservative Two-Phase Flow},
journal = {Communications in Computational Physics},
year = {2018},
volume = {24},
number = {2},
pages = {309--331},
abstract = {<p style="text-align: justify;">A theoretical solution of the Riemann problem to the two-phase flow model
in non-conservative form of Saurel and Abgrall is presented under the assumption that
all the nonlinear waves are shocks. The solution, called 4-shock Riemann solver, is then
utilized to construct a path-conservative scheme for numerical solution of a general
initial boundary value problem for the two-phase flow model in the non-conservative
form.<br/>Moreover, a high-order path-conservative scheme of Godunov type is given via the
MUSCL reconstruction and the Runge-Kutta technique first in one dimension, based
on the 4-shock Riemann solver, and then extended to the two-dimensional case by dimensional splitting. A number of numerical tests are carried out and numerical results
demonstrate the accuracy and robustness of our scheme in the numerical solution of
the five-equations model for two-phase flow.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0097},
url = {https://global-sci.com/article/79949/a-second-order-path-conservative-method-for-the-compressible-non-conservative-two-phase-flow}
}