Moving and deforming finite‐element simulation of two‐dimensional Stefan problems

A new moving/deforming FEM analysis of two-dimensional phase change problems is presented. The region occupied by the solid phase is divided into a non-moving element region and a moving region consisting of the finite elements next to the freezing interface. A transfinite mapping method is used to generate new finite-element meshes and motion in the liquid phase during simulations. Several two-dimensional Stefan problems are analysed and discussed in relation to analytical solutions and other numerical techniques.