After reviewing various LB implementations, I have been concerned that the cubic lattice may not be the most isotropic option. I began considering whether a three-dimensional equivalent of the hexagon might exist, and found that some authors propose an fD3Q13 implementation based on the rhombic dodecahedron. This approach appears to offer improved isotropy and higher computational efficiency. I would be interested to hear your thoughts on implementing this. Link to the article presenting the concept: https://www.researchgate.net/publication/26659194_Efficient_LBM_Visual_Simulation_on_Face-Centered_Cubic_Lattices
Interesting, yes! And same cubic mesh alligned sencils mentoned in the publication might be realizable in OpenLB. It would be good to see a convergence study with absolute errors stated for benchmark cases to be compared with standard LBM stencils. For some problems, like radiative trasport equation, there is a similar sencil already implemented. Please, check for the publications of McHardy and Mink.
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