A Path-Conservative Method for a Weakly Compressible Two-Phase Model with Surface Tension
Numerical Analysis
2025-12-01 v1 Numerical Analysis
Computational Physics
Abstract
When extended to two-phase flows, weakly compressible models lead to a non-conservative system, which precludes its treatment using standard finite volume techniques. In this paper, a novel HLLC-type path-conservative scheme is formulated for the weakly compressible two-phase model. Furthermore, capillary effects are included in the proposed path-conservative scheme, eliminating the need to discretize surface tension terms separately. The first-order path-conservative formulation is combined with a local solution reconstruction technique to obtain high-order spatial accuracy. The solver is tested on several benchmark two-phase flow problems to demonstrate its efficacy.
Keywords
Cite
@article{arxiv.2511.23095,
title = {A Path-Conservative Method for a Weakly Compressible Two-Phase Model with Surface Tension},
author = {Ashley Melvin and J. C. Mandal},
journal= {arXiv preprint arXiv:2511.23095},
year = {2025}
}