An Energy Stable Nonlinear Incompressible Multi-Phase Flow Formulation
<|reference_start|>An Energy Stable Nonlinear Incompressible Multi-Phase Flow Formulation: We show that a reformulation of the governing equations for incompressible multi-phase flow in the volume of fluid setting leads to a well defined energy rate. Weak nonlinear inflow-outflow and solid wall boundary conditions complement the development and lead to an energy estimate in terms of external data. The new formulation combined with summation-by-parts operators lead to provably nonlinear energy stability.<|reference_end|>
@article{nordström2024an,
    title={An Energy Stable Nonlinear Incompressible Multi-Phase Flow Formulation},
    author={Jan Nordstr"om, Arnaud.G. Malan},
    journal={arXiv preprint arXiv:2406.19525},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.19525},
    primaryClass={math.AP cs.NA math.NA}
}