Dave Martina,b,†
, Hicham Chaoukia,b, Jean-Loup Roberta
, Donald Zieglerc
, Mario Fafarda,b
Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-11, 2018, DOI:10.5098/hmt.10.18
Abstract A model for two dimensional solidification problems including convection was developed by coupling the Stefan problem with the Stokes problem.
The extended finite element method (XFEM) was used to capture the strong discontinuity in velocity and pressure as well as the jump in heat flux
at the phase change interface. The melting temperature and no-slip 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 algorithm. The model was able to
reproduce the benchmark simulations while maintaining a sharp phase change interface. More >
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