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arXiv · 2406.19525

An Energy Stable Nonlinear Incompressible Multi-Phase Flow Formulation

Jan Nordström·Arnaud. G. Malan
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Abstract

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.

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Jan Nordström, Arnaud. G. Malan. 2024-06-27. An Energy Stable Nonlinear Incompressible Multi-Phase Flow Formulation. https://doi.org/10.1016/j.jcp.2024.113685

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