Improved time integration for phase-field crystal models of solidification
Abstract
We optimize a numerical time-stabilization routine for a class of phase-field crystal (PFC) models of solidification. By numerical experiments, we demonstrate that our simple approach can improve the accuracy of underlying time integration schemes by a few orders of magnitude. We investigate different time integration schemes. Moreover, as a prototypical example for applications, we extend our numerical approach to a PFC model of solidification with an explicit temperature coupling.
Acknowledgments
MP and MS acknowledge support from the German Research Foundation (DFG) under Grant No. SA4032/2-1. AV acknowledges support from the German Research Foundation (DFG) within SPP1959 under Grant No. Vo899/20-2. SMW gratefully acknowledges support from the US National Science Foundation under grant NSF-DMS 2012634. Computing resources have been provided by the Center for Information Services and High-Performance Computing (ZIH) at TU Dresden, and by Jülich Supercomputing Center under grant PFAMDIS. Open access funding enabled and organized by Projekt DEAL.
