I tried to understand shan-chen method but in the original paper and book (guo’s) I didn’t get proper explanation for this. Can anyone please suggest me any source where I can get detailed explanation for the method.
Please have a look at Krüger et al., The Lattice Boltzmann Method (2017) (https://www.springer.com/gp/book/9783319446479).
Particularly Chapter 9 (and References therein) is very helpful for a general understanding of multiphase and multicomponent LBM, e.g. Shan-Chen.