Phase field simulations are highly compute intensive. The nature of the partial differential equations allow for a stensil based approach to solve them numerically. We have used OpenCL to take advantage of the compute power of AMD GPUs to accelerate our phase field codes.
References
MPI + OpenCL implementation of a phase-field method incorporating CALPHAD description of Gibbs energies on heterogeneous computing platforms
P. Gerald Tennyson, G. M. Karthik, G. Phanikumar
Computer Physics Communications, pp. 48-64, vol. 186 (2015) DOI