Lattice Boltzmann model for anisotropic liquid-solid phase transition

By improving a one-dimensional model proposed by De Fabritiis, Mancini, Mansutti and Succi in 1998, we develop a simple reaction model for liquid-solid phase transitions in the context of the lattice Boltzmann method with enhanced collisions.Calculations for a two-dimensional test problem of gallium melting and for a two-dimensional anisotropic growth of dendrites are presented and commented on.