Dave Martina,b,†
, Hicham Chaoukia,b, Jean-Loup Roberta, Donald Zieglerc, Mario Fafarda,b
Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-9, 2016, DOI:10.5098/hmt.7.31
Abstract The two dimensional phase change problem was solved using the extended finite element method with a Lagrange formulation to apply the interface
boundary condition. The Lagrange multiplier space is identical to the solution space and does not require stabilization. The solid-liquid interface
velocity is determined by the jump in heat flux across the i nterface. Two methods to calculate the jump are used and c ompared. The first is based on
an averaged temperature gradient near the interface. The second uses the Lagrange multiplier values to evaluate the jump. The Lagrange multiplier
based approach was shown to be more robust… More >
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