Gas-liquid two-phase flow has complex interface structures with a wide range of spatial scales in the transient time. The multi-scale interface problems are related to various fields

such as chemical engineering

nuclear safety

and so on. Computability of these problems is one of the research priorities. This paper analyzes basic models dealing with the discontinuity of phase interfaces in the Eulerian reference frame

and describes the influence relationship between turbulent simulation methods and interfaces. The difficulties of computability are analyzed for two types of multi-scale problems: scale distribution of interfaces in dispersed flows and cross-scale of interfaces in mixed flow. Two factors including the scale for computational grid and the loss of geometry and physical boundaries are concluded. The computing methods and typical applications in cross-scale of interfaces in mixed flow are summarized. The strategies and trends of the research on those multi-scale problems are proposed

providing useful guides for the research.