Dave Martina,b,†
, Hicham Chaoukia,b, Jean-Loup Roberta, Donald Zieglerc, Mario Fafarda,b
Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-11, 2016, DOI:10.5098/hmt.7.40
Abstract A two phase model for two-dimensional solidification problems with variable densities was developed by coupling the Stefan problem with the Stokes
problem and applying a mass conserving velocity condition on the phase change interface. The extended finite element method (XFEM) was used to
capture the strong discontinuity of the velocity and pressure as well as the jump in heat flux at the i nterface. The melting temperature and velocity
condition were imposed on the interface using a Lagrange multiplier and the penalization method, respectively. The resulting formulations were then
coupled using a fixed point iteration a lgorithm. Three examples were… More >
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