Investigation of different Phase-Field models in compressible multiphase flows under a unified high-order and bound-preserving framework

Godunov-type schemes have been widely used in compressible multiphase flows to capture both shocks and material interfaces. One of the long-lasting challenges is that material interfaces are thickened and will eventually disappear due to numerical diffusion with the use of Godunov-type schemes. Phase-field models have shown their effectiveness in competing with numerical diffusion adjacent to material interfaces, leading to a constant interface thickness. The reduction-consistent formulation provides a high-order accurate and bound-preserving framework that is general enough for coupling different phase-field models for compressible multiphase flows. Under this framework, the behavior of different phase-field models in compressible multiphase flow regime is investigated, and the interaction between the Godunov-type schemes and phase-field models are studied. This allows for accurate interpretation of numerical simulation results of different phase-field models, particularly their subgrid behavior, for compressible multiphase flows.