Finite element simulation of planar instabilities during solidification of an undercooled melt
Two-dimensional finite element solutions for planar solidification from an undercooled melt are discussed. The stability analysis of the planar front is considered for transient problems and provides an excellent basis for model testing. The inherent instabilities associated with the freezing process require a more comprehensive treatment of the interfacial temperature than that specified in Stefan-type problems. Radiation-type boundary conditions on the interface that incorporate temperature effects associated with curvature and interfacial kinetics are included. The numerical simulations of anisotropic ice show similar waveform patterns at the onset of the instability to those of isotropic cases.
scientific article; zbMATH DE number 4020414