A Rapidly Converging Phase Field Model

  title={A Rapidly Converging Phase Field Model},
  author={Xinfu Chen and Gunduz Caginalp},
We propose a phase field model that approximates its limiting sharp interface model (free boundary problem) up to second order in interface thickness. A broad range of double-well potentials can be utilized so long as the dynamical coefficient in the phase equation is adjusted appropriately. This model thereby assures that computation with particular value of interface thickness ε, will differ at most by O(ε2) from the limiting sharp interface problem. As an illustration, the speed of a… CONTINUE READING

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