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

TL;DR

This paper introduces a new explicit weakly compressible solver for incompressible two-phase flows, combining a novel pressure equation, Riemann solver, and level set method, validated on various test cases.

Contribution

It presents a fully-explicit weakly compressible solver with a novel Riemann solver and discretization techniques for two-phase flows, improving robustness and adaptability.

Findings

Successfully tested on multiple two-phase flow problems

Demonstrated robustness on structured and unstructured meshes

Achieved oscillation-free discretization of non-conservative terms

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.