English

Development of a Weakly Compressible Solver for Incompressible Two-Phase Flows

Computational Physics 2025-06-27 v1

Abstract

In this paper, a novel fully-explicit weakly compressible solver is developed for solving incompressible two-phase flows. The two-phase flow is modelled by coupling the general pressure equation, momentum conservation equations and the conservative level set advection equation. A HLLC-type Riemann solver is proposed to evaluate the convective fluxes along with a simple, consistent and oscillation-free discretization for the non-conservative terms. The solver is tested against several two-phase flow problems for its robustness and adaptability on structured as well as unstructured meshes.

Keywords

Cite

@article{arxiv.2412.16390,
  title  = {Development of a Weakly Compressible Solver for Incompressible Two-Phase Flows},
  author = {Ashley Melvin and J. C. Mandal},
  journal= {arXiv preprint arXiv:2412.16390},
  year   = {2025}
}

Comments

39 pages, 22 figures, partial work presented at ECCOMAS-2024 Lisbon, submitted to Journal of Computational Physics

R2 v1 2026-06-28T20:44:34.594Z