Solution of inverse Stefan problem using a new enthalpy method

Mulugeta K. Berhe, Vaughan R. Voller, Suhas V. Patankar

Research output: Contribution to conferencePaperpeer-review

1 Scopus citations


A new control volume based enthalpy method is described here that is designed to solve inverse phase change problems. The new method uses a direct solution procedure which is simpler, efficient, and more stable than the iterative methods found in the literature. Several 1D test problems are considered to illustrate the proposed method, including 1D freezing problems with constant and variable phase front velocities. The effect of the Fully Implicit and Crank-Nicolson numerical schemes on these solutions is examined. Results obtained from these computations are compared with both the old numerical solutions and the exact solutions. The agreement between the current numerical solution and the exact solution is found excellent.

Original languageEnglish (US)
StatePublished - 1995
Event30th Thermophysics Conference, 1995 - San Diego, United States
Duration: Jun 19 1995Jun 22 1995


Other30th Thermophysics Conference, 1995
Country/TerritoryUnited States
CitySan Diego

Bibliographical note

Funding Information:
The first author gratefully acknowledges the Doctoral Fellowship he received from the Natural Sciences and Engineering Research Council of Canada, and the computing facility made available to him by the Minnesota Supercomputer Institute while carrying out this work.

Publisher Copyright:
© 1995 by the American Institute of Aeronautics and Astronautics Inc.


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