A geometric VOF method for interface flow simulations

This set is the original data used in the article titled \"A Geometric VOF Method for Interface Flow Simulations\". In this paper, a novel numerical technique designed for interface flow simulations using the Volume of Fluid (VOF) method on arbitrary unstructured meshes has been introduced. The method is called SimPLIC, which seamlessly integrates Piecewise Linear Interface Calculation (PLIC) and Simpson's rule. The main focus of the proposed method is to compute the volume of the primary phase that moves across a mesh face within a single time step. This is achieved by reconstructing the interface and assessing how the submerged face area evolves over time. Simpson's rule is employed to integrate the time evolution of this submerged face area, ensuring an accurate estimation of the volume of the transported primary phase. The method's robustness was validated by solving a spherical interface advection problem in a non-uniform three-dimensional flow across unstructured meshes with diverse..., , , # Data from: A Geometric VOF Method for Interface Flow Simulations

## Summary

This set is the original data used in *Dai, Dezhi, Haomin Yuan, Albert Y. Tong, and Adrian Tentner. \"A Geometric VOF Method for Interface Flow Simulations*.\" [arXiv preprint arXiv:2402.05247 (2024)](https://arxiv.org/abs/2402.05247).

## Structure

The repository structure is shown below.


*Notes*:

* In `interfaceAdvection/polyMesh_splitWarpedFace`, `isoAdvectos_plic_LS` and `isoAdvectos_plic_RDF` are not included.
* In `exactSolutions`, the utility `initializeAlphaField` has been renamed as `setVofField` at [`geometricVofExt`](https://github.com/daidezhi/geometricVofExt). When replicating the exact solutions using the provided tool surface meshes:
* Rename `./system/initializeAlphaFieldDict` as `./system/setVofFieldDict`.
* In Line 15 of `Allrun.genExactSolution`, replace `foamDictionary ./sy...