Masters Theses
Date of Award
5-1992
Degree Type
Thesis
Degree Name
Master of Science
Major
Mathematics
Major Professor
Vasilios Alexiades
Abstract
A "compact" finite difference scheme to solve two-phase Stefan problems in one-dimension is described. This type of scheme was proposed by Milton E. Rose for the one-phase problem. Integration over control volumes and backward and forward differences are used to develop an enthalpy scheme that converges to the weak solution of the two-phase Stefan problem. Numerical results are compared to the exact Neumann (similarity) solution and to numerical solutions from an explicit and an SOR enthalpy scheme.
Recommended Citation
Gilbert, Michael J., "A two-phase enthalpy method. " Master's Thesis, University of Tennessee, 1992.
https://trace.tennessee.edu/utk_gradthes/12122
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