Development of a Weakly Compressible Solver for Incompressible Two-Phase Flows
arXiv:2412.16390 · doi:10.1016/j.jcp.2025.114195
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.
39 pages, 22 figures, partial work presented at ECCOMAS-2024 Lisbon, submitted to Journal of Computational Physics
References in corpus (8)
- Why many theories of shock waves are necessary. Convergence error in formally path-consistent schemes
- Thermodynamic Theory of Incompressible Hydrodynamics
- Numerical simulations of unsteady viscous incompressible flows using general pressure equation
- General and exact pressure evolution equation
- A consistent solution of the reinitialization equation in the conservative level-set method
- A Novel Reinitialization Scheme for Conservative Level Set Method
- Modified HLLC-VOF solver for incompressible two-phase fluid flows
- A general pressure equation based method for incompressible two-phase flows