Study on the algorithm for solving two-fluid seven-equation two-pressure model

Abstract

Compared to the two-fluid single-pressure model, the two-fluid seven-equation two-pressure model has been proved to be well-posed (hyperbolic) due to its real characteristic values and exists a wide range of physical and industrial applications. In this paper, the partial differential equation system of the two-pressure model is discretized numerically using the finite volume integral method with staggered grids. The semi-implicit scheme is implemented to achieve accurate and stable numerical results. The source terms containing the heat and mass transfer, no instantaneous relaxation, wall drag and gravity field are included in this scheme. Eventually, the proposed numerical scheme is validated with several classical benchmark tests. The calculation results show that the proposed numerical scheme is accurate and robust in solving two-phase flows.