Invariant closure proposals for the interface tracking in two-phase turbulent flows

The present work focuses on the formulation of new modelling approaches to ensemble-averaged equations describing multiphase flows, based on the symmetries admitted by these equations. Particular attention will be given to the proper treatment of the unclosed terms in the equation for the interface tracking which represent the influence of unresolved part of the surface. Modelling of those terms is crucial in flows with heat and mass transfer. In the work, two approaches to track the interface will be considered: the level-set function and sharp-step indicator function method. The differences between the two approaches in terms of turbulence-interface interactions modelling will be outlined.