where d is a parameter which describes the width of the boundary between the solid and liquid regions. This continuity equation is similar to the one utilized by Jiang et al. with an alteration of the function used for switching between the two regions. To find the two temperature jumps, ∆T r = T s (r) -T l (r) and ∆T l = T s (l) -T l (l), we can then use the locations of l and r from the fit temperature profile to estimate the interfacial thermal conductance G.