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math.NA2026
Self-similar structure of non-isothermal variable-density mushy Stefan problems and an improved low-Mach enthalpy method
Yavkreet Swami, Amneet Pal Singh Bhalla
The enthalpy method was introduced in the late 1970s to simulate phase-change problems on fixed grids without explicitly tracking the moving phase-change front. It remains one of t…
cond-mat.mtrl-sci2026
Fixed-grid sharp-interface numerical solutions to the three-phase spherical Stefan problem
Yavkreet Swami, Jacob Barajas, Amneet Pal Singh Bhalla
Many metal manufacturing processes involve phase change phenomena, which include melting, boiling, and vaporization. These phenomena often occur concurrently. A prototypical 1D mod…