A level set based sharp interface method for the multiphase incompressible Navier–Stokes equations with phase change

In this paper, we describe a sharp interface capturing method for the study of incompressible multiphase flows with phase change. We use the level set method to keep track of the interface between the two phases and a ghost fluid approach to impose the jump conditions at the interface. This work builds on the work of Gibou et al. for the study of Stefan problems [F. Gibou, R. Fedkiw, L.-T. Cheng, M. Kang, A second-order-accurate symmetric discretization of the Poisson equation on irregular domains, J. Comput. Phys. 176 (2002) 205–227] and the work of Nguyen et al. for the simulation of incompressible flames [D. Nguyen, R. Fedkiw, M. Kang, A boundary condition capturing method for incompressible flame discontinuities, J. Comput. Phys. 172 (2001) 71–98]. We compare our numerical results to exact solutions in one spatial dimension and apply this algorithm to the simulation of film boiling in two spatial dimensions.