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A Compact Nonlinear Solution Method for Two Phase Stefan Problems

by Erden Eru?, Ohio State Univ, Columbus, United States,
Tae Soo Lee, Ohio State Univ, Columbus, United States,
Sunder Advani, Ohio State Univ, Columbus, United States,



Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond

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: Fluid flow | Finite element method | Solidification | Nonlinear analysis | Mathematics | Numerical methods | Mathematical models

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