HLLC solver for the topology based multiphase flow model

Abstract

The topology based multi-fluid flow model of Silverman (Silverman, Nuclear Engineering and Design, 2021, Vol. 383, pp. 111421) presents a unified model that is able to correctly describe the interactions between the fluids in the flow field for any flow topology (i.e. dispersed or separated flows). This model can simulate the flow starting from single-fluid conditions, moving to dispersed flows and up to separated fluids flow. To apply this model to general multi-fluid simulations, a revised version of the HLLC flow solver is developed here. A few benchmarks present the ability of the new model and solver to simulate compressible multi-fluid flows. Some of the results presented here indicate that the topology of a multi-fluid mixture has an effect on its stability and structure.