A meshless method for interface capturing in two-phase flow

doi:10.1016/j.amc.2026.130328

A meshless method for interface capturing in two-phase flow

2026-09-29

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DOI：10.1016/j.amc.2026.130328

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The description of interface evolution is a core challenge in two-phase flow problems. In this work, we propose a meshless interface capturing method based on the radial basis function generated finite difference (RBF-FD) method for spatial discretization. The flow problem can be discretized on unstructured scattered points and the resulting linear systems are highly sparse which can be solved efficiently. The phase-field method is used by solving the fully variable-density and variable-viscosity incompressible Navier-Stokes (N-S) equations to govern the fluid behavior and Cahn-Hilliard (C-H) equation to capture the interface. A series of two-dimensional two-phase flow problems including Rayleigh-Taylor instability (RTI), Kelvin-Helmholtz instability (KHI) and rising bubble are numerically studied, and the results are in good agreement with the previous numerical or theoretical results. The influence of key dimensionless parameters of the proposed method is also investigated. We also highlight that this method demonstrates the ability to simulate these instability problems with large time-steps and over long simulation times, thus exhibiting the robustness of our method.

A meshless method for interface capturing in two-phase flow

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