A Compact Nonlinear Solution Method for Two Phase Stefan Problemsby Erden Eruç, Ohio State Univ, Columbus, United States,
Tae Soo Lee, Ohio State Univ, Columbus, United States,
Sunder Advani, Ohio State Univ, Columbus, United States,
Abstract: Finite element formulations for fluid filling problems with solidification are derived using previously developed unified transformation techniques. The nonlinear formulation for two phase Stefan problems is implemented on a fixed grid domain. Preliminary numerical results illustrating uncoupled fluid filling and solidification are presented.
Subject Headings: Nonlinear analysis | Solidification | Fluid flow | Finite element method | Grid systems | Mathematics
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