Efficient algorithm for solving the system of Allen–Cahn and Cahn–Hilliard equations: modeling the sintering process

In this work, we present an algorithm for solving the system of Allen–Cahn and Cahn–Hilliard equations, which describes the process of sintering. The algorithm does not require significant computational resources and makes possible the sintering simulating of a large number of grains using a computation node with an Intel Xeon E5 2697 v3 CPU and an NVIDIA K40 GPU in a reasonable time. Experiments were carried out to simulate the sintering of sorbent-like structures (packings of spherical particles), for which the efficiency of the algorithm was shown.