Re: Turbulent Flows in LBM
there are no books about LBM turbulence as far as I know. I would recommend you books, which introduces the physics and mathmatics behind turbulence on the one side and on the other side books about the LBM method. This books should give you all the knowlegde that you need to deeply understand papers that dealing with LBM turbulence. Some recommendations for you:
Bailly, C., & Comte-Bellot, G. (2015). Turbulence. Cham: Springer.
Krüger, T., Kusumaatmaja, H., Kuzmin, A., Shardt, O., Silva, G., & Viggen, E. M. (2017). The Lattice Boltzmann Method: Principles and Practice. Cham: Springer International Publishing.