613 RWTH Publication No: 855451        2022       
TITLE Explicit-Implicit Domain Splitting for Two Phase Flows with Phase Transition
AUTHORS Sandra May, Ferdinand Thein
ABSTRACT Two phase flows that include phase transition, especially phase creation, with a sharp interface remain a challenging task for numerics. We consider the isothermal Euler equations with phase transition between a liquid and a vapor phase. The phase interface is modeled as a sharp interface and the mass transfer across the phase boundary is modeled by a kinetic relation. Existence and uniqueness results were proven in Ref. [25]. Using sharp interfaces for simulating nucleation and cavitation results in the grid containing tiny cells that are several orders of magnitude smaller than the remaining grid cells. This forces explicit time stepping schemes to take tiny time steps on these cells. As a remedy we suggest an explicit implicit domain splitting where the majority of the grid cells is treated explicitly and only the neighborhood of the tiny cells is treated implicitly. We use dual time stepping to solve the resulting small implicit systems. Our numerical results indicate that the new scheme is robust and provides significant speed-up compared to a fully explicit treatment.
DOI 10.1063/5.0131908
PUBLICATION Physics of fluids
2023, 35(1), article no. 016108
American Institute of Physics
ISSN 1089-7666