Structure-preserving discretization of a coupled Allen-Cahn and heat equation system

Eutectic freeze crystallisation is a promising way of purifying water for it may require less energy than other methods. In order to simulate such process, phase field models as Allen-Cahn and Cahn-Hilliard can be used. this paper, port-Hamiltonian formulation the equations used coupled heat conduction, which allows thermodynamically consistent system written with help entropy functional. second part, Partitioned Finite Element Method, structure-preserving spatial discretization method, applied equation; gives rise an exact free balance at discrete level. Finally some numerical results are presented.