Computation of dendritic microstructures using a level set method
  We compute time-dependent solutions of the sharp-interface model of dendritic solidification in two dimensions by using a level set method. The steady-state results are in agreement with solvability theory. Solutions obtained from the level set algorithm are compared with dendritic growth simulations performed using a phase-field model and the two methods are found to give equivalent results. Furthermore, we perform simulations with unequal diffusivities in the solid and liquid phases and find reasonable agreement with the available theory. 
Yung-Tae Kim (1), Nigel Goldenfeld (1), and Jonathan Dantzig (2) ((1)   University of Illinois at Urbana-Champaign, Departme...