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

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Effect of Laser-Matter Interaction on Molten Pool Flow and Keyhole Dynamics (2019, background): “The other jump conditions are obtained from the conservation of mass, momentum, and energy across the interface [48].”
A Level Set Method for Analysis of Film Boiling on an Immersed Solid Surface (2007, methodology): “[19] have applied the sharp-interface approach to film boiling on a horizontal surface, but their formulation for viscosity terms is based on a smeared-out step function.”
Experimental and computational investigation of vertical downflow condensation (2015, methodology): “(2007) [39] Film boiling Sharp interface model: _ m00 1⁄4 keffrT hfg BC: imposed interfacial boundary for T, V and l 3rd-order total variation diminishing (TVD) Runge–Kutta, high order upwind (convection) LSM, 2D planar, Dt = 0.”
A review of level-set methods and some recent applications (2018, methodology): “[106] Frederic Gibou, Liguo Chen, Duc Nguyen, and Sanjoy Banerjee.”