Migration-collision scheme of Lattice Boltzmann method for heat conduction problems involving solidification

摘要

The phase-change problem is solved by the migration-collision scheme of lattice Boltzmann method.After formula derivation,we find that this method can give a rigorous numerical value for the phase-change temperature,which is of crucial importance.One-dimensional solidification in half-space and two-dimensional solidification in a corner are simulated.The phase change temperature and the liquid-solid interface are both obtained,and the results conform to the analytical solution.