voroToFoam - Voronoi meshes for OpenFOAM

A tool to generate Voronoi meshes for OpenFOAM-10 coupled with voro++.

NOTE: it should be compatible also with older versions of OpenFOAM. Tested on OpenFOAM-7.

Setup and installation

First install the voro++ library from this site and follow the installation instructions.

Once the underlying OpenFOAM version is loaded, run the Allwmake script to compile the application.

NOTE: please change the library path if needed in voroToFoam/Make/options -I<VORO++_LIBRARY_PATH>/voro++

Usage

A cloud of points must be available in a file with the following structure:

<label> <scalar> <scalar> <scalar>
id0 x0 y0 z0
id1 x1 y1 z1
...

A typical syntax can then be:

voroToFoam -tol 1e-8 -cubeSide 0.5 points.dat

It is advisable to run renumberMesh -overwrite after.

NOTE: I have used this tool together with tetgen or GMSH.

Tutorials

Cube

Starting from a cloud of points in points.dat, the following grid is obtained

TODO

• Avoid zero area faces: reference
• The mesh generation can be extended to generic shapes, like in this site
• Parallel implementation

References

• Negrini, G., Parolini, N., & Verani, M. (2023). The Rhie-Chow stabilized Box Method for the Stokes problem.

@misc{negrini2023rhiechow,
      title = {The {R}hie-{C}how stabilized {B}ox {M}ethod for the {S}tokes problem},
      author = {G. Negrini and N. Parolini and M. Verani},
      year = {2023},
      eprint = {2308.01059},
      archivePrefix = {arXiv},
      primaryClass = {math.NA}
}

• Negrini, G., Parolini, N., & Verani, M. (2021). A diffuse interface box method for elliptic problems. Applied Mathematics Letters, 120, 107314.

@article{NEGRINI2021107314,
    title = {A diffuse interface box method for elliptic problems},
    journal = {Applied Mathematics Letters},
    volume = {120},
    pages = {107314},
    year = {2021},
    issn = {0893-9659},
    doi = {https://doi.org/10.1016/j.aml.2021.107314},
    url = {https://www.sciencedirect.com/science/article/pii/S0893965921001646},
    author = {G. Negrini and N. Parolini and M. Verani},
    keywords = {Box method, Diffuse interface, Complex geometries}
}