Extension of a high‐resolution scheme to 1D liquid–gas flow

This paper presents the extension of a high-resolution conservative scheme to the one-dimensional one-pressure six-equation two-fluid flow model. Only mixtures of water and air have been considered in this study, both fluids have been characterized using simple equations of state, namely stiffened gas for the liquid phase and perfect gas for the gas phase. The resulting scheme is explicit and first-order accurate in space and time. A second-order version of the scheme has also been derived using the MUSCL strategy and slope limiters. Some numerical results show the good capabilities of this type of schemes in the solution of discontinuities in two-fluid flow problems, all of them are based on water/air numerical benchmarks widely used in the two-phase flow literature. Copyright © 2005 John Wiley & Sons, Ltd.