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 More >
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