Extension of generic two-component VOF interface advection schemes to an arbitrary number of components

• Published in: Journal of computational physics Vol. 473; p. 111721
• Main Authors: Ancellin, Matthieu, Després, Bruno, Jaouen, Stéphane
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15-01-2023; Elsevier
• Subjects: Finite volume; Interface; Physics; Volume-of-fluid; Volume-of-fluid; Interface; Finite volume
• ISSN: 0021-9991; 1090-2716
• DOI: 10.1016/j.jcp.2022.111721

We propose a new and simple method to extend any two-fluid dimensionally split VOF schemes on Cartesian meshes to N-fluid problems in 2D and 3D. The method is symmetric by permutation of the fluids, so that it is independent of the ordering of materials, and guarantees natural properties of the volume fractions. The method is called Renormalized VOF or ReVOF, since it relies on a new renormalization algorithm to post-process N independent calls to two-fluid numerical fluxes. Proof that the algorithm finishes is given. Various numerical test cases for advection, rotation and distorsion of three to five fluids in 2D are presented, along with a 3D example.
•New method for Volume-Of-Fluid simulation of more than two non-miscible fluids.•Simple post-processing after several independent calls to a two-fluid VOF scheme.•Generic method that can be based on any existing two-fluid VOF schemes.•Proof of respect of the symmetries and the natural properties of volume fractions.