An adaptive moving mesh method is developed for the numerical solution of two-dimensional phase change problems modelled by the phase-field equations.The numerical algorithm is relatively simple and is shown to be mor...An adaptive moving mesh method is developed for the numerical solution of two-dimensional phase change problems modelled by the phase-field equations.The numerical algorithm is relatively simple and is shown to be more efficient than fixed grid methods.The phase-field equations are discretised by a Galerkin finite element method.An adaptivity criterion is used that ensures that the mesh spacing at the phase front scales with the diffuse interface thickness.展开更多
文摘An adaptive moving mesh method is developed for the numerical solution of two-dimensional phase change problems modelled by the phase-field equations.The numerical algorithm is relatively simple and is shown to be more efficient than fixed grid methods.The phase-field equations are discretised by a Galerkin finite element method.An adaptivity criterion is used that ensures that the mesh spacing at the phase front scales with the diffuse interface thickness.
