A high resolution scheme for Eulerian gas–solid two-phase isentropic flow

Numerical solutions of the equations governing two-phase isentropic flow of a solid granular material dispersed in a gas are investigated. Both the dispersed and continuous phases are treated as continua and an Eulerian description of the flow is adopted. We present an inviscid model with a general pressure term from which a number of variant models can be obtained. A high resolution scheme is presented to obtain numerical approximations of the equations in each of the models. We investigate whether the chosen numerical scheme is suitable for the equations governing the models and use the numerical results to obtain quantitative and qualitative insight into the predictions of each of the models. Three test cases, new to the literature, are considered, and the numerical results compared.