A coupled level-set and reference map method for interface representation with applications to two-phase flows simulation

We present a novel hybrid methodology combining the reference map theory with the level-set method for tracking moving interfaces. Instead of directly advecting the level-set function, we track the reference map, which maps the deformed state into the original one. We then reconstruct the deformed level-set function from this mapping and the original geometry. Because of the better smoothness of the reference map and the reduced impact of the reinitialization, this new approach grants higher precision. This results in significant improvements regarding interface location precision and mass conservation, especially in situations involving small deformations. Moreover, the implementation of the method is straightforward since it is based on the same numerical techniques used for the level-set method. Our coupled method is extensively validated in the case of externally generated velocity fields and incorporated into our previously introduced two-phase incompressible Navier-Stokes flow solver. Published by Elsevier Inc.