3 research outputs found
Explicit temperature coupling in phase-field crystal models of solidification
We present a phase-field crystal (PFC) model for solidification that accounts
for thermal transport and a temperature-dependent lattice parameter. Elasticity
effects are characterized through the continuous elastic field computed from
the microscopic density field. We showcase the model capabilities via selected
numerical investigations which focus on the prototypical growth of
two-dimensional crystals from the melt, resulting in faceted shapes and
dendrites. This work sets the grounds for a comprehensive mesoscale model of
solidification including thermal expansion
Improved time integration for phase-field crystal models of solidification
We optimize a numerical time-stabilization routine for the phase-field
crystal (PFC) models of solidification. By numerical experiments, we showcase
that our 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.Comment: 5 pages, 3 figure
Explicit temperature coupling in phase-field crystal models of solidification
We present a phase-field crystal model for solidification that accounts for thermal transport and a temperature-dependent lattice parameter. Elasticity effects are characterized through the continuous elastic field computed from the microscopic density field. We showcase the model capabilities via selected numerical investigations which focus on the prototypical growth of two-dimensional crystals from the melt, resulting in faceted shapes and dendrites. This work sets the grounds for a comprehensive mesoscale model of solidification including thermal expansion