Freed Interfaces: Volume of Freed, Level Set, Deforming Mesh

This lecture covers the importance of freed interfaces in multiphase flows, detailing methods such as volume of freed, level set, and deforming mesh. The volume fraction characterizes each phase, with properties assigned as local weighted averages. The level set method defines the interface as a specific isocontour of a function, ensuring smoothness but not volume conservation. Deforming mesh techniques involve solving the flow in each phase with appropriate boundary conditions at the interface, resulting in deformed meshes. An example of a liquid jet entering a domain is shown, where surface tension effects dominate, leading to a spherical shape. The lecture concludes by highlighting the challenges and advantages of each method.