Improved multi-relaxation time thermal pseudo-potential lattice Boltzmann method with multi-block grid and complete unit conversion for liquid–vapor phase transition

In recent years, the thermal pseudo-potential lattice Boltzmann method (LBM) has been widely adopted in numerical simulations of liquid–vapor phase transition systems. However, unit conversion for LBM remains incomplete and elusive, simulation efficiency is limited by uniformly single-block grid. this paper, dimensionless evolution equations with multi-relaxation time operators are derived convenience adopting real physical parameters improvement computational efficiency. The energy equation re-derived improved enhanced accuracy calculation. Additionally, a more accurate Martin–Hou state cryogen modified term surface tension coefficient to confirm that grid independent. Moreover, three-layer boundary structure coarse proposed introduce multi-block into taking account intermolecular force internal heat source term. aforementioned works improve enable efficient within three-dimensional specific working fluid. Finally, validate improvements simulating transition.