Large-scale simulations and parameter study for a simple recrystallization model

Distance function-based diffusion-generated motion, a highly efficient numerical algorithm, is used to simulate a classical model of recrystallization in unprecedented detail and in physically relevant parameter regimes not attainable with many previous techniques. The algorithm represents interfaces implicitly and is closely related to the level set method. In particular, it allows for automatic topological changes and arbitrarily large time-steps. Large-scale simulations of recrystallization for physically relevant parameter values are presented in detail. In addition, new analytical estimates for the distribution of surviving nuclei are obtained and compared with the numerical results.