Adaptive mesh refinement and high order geometrical moment method for the simulation of polydisperse evaporating sprays

An extension of the Eulerian Multi-Size Moment Eulerian polydisperse model was applied to build a unified approach and coupling with a separated phases model describing the dynamics and atomization of the interface near the injector. A new high order moment approach is introduced using fractional moments in surface which can be related to geometrical quantities of the gas-liquid interface. A novel algorithm for an accurate resolution of the evaporation is provided. Adaptive mesh refinement properly scaling on massively parallel architectures yields a precise integration of transport in physical space limiting both numerical dissipation as well as the memory trace of the solver. A series of test-cases is presented and analyzed assessing the proposed approach and its parallel computational efficiency while evaluating its potential for complex applications.