Solution of inverse Stefan problem using a new enthalpy method

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

doi:10.2514/6.1995-2063

Solution of inverse Stefan problem using a new enthalpy method

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

Civil, Environmental, and Geo- Engineering

Research output: Contribution to conference › Paper › peer-review

1 Scopus citations

Abstract

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 language	English (US)
DOIs	https://doi.org/10.2514/6.1995-2063
State	Published - 1995
Event	30th Thermophysics Conference, 1995 - San Diego, United States Duration: Jun 19 1995 → Jun 22 1995

Other

Other	30th Thermophysics Conference, 1995
Country/Territory	United States
City	San Diego
Period	6/19/95 → 6/22/95

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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title = "Solution of inverse Stefan problem using a new enthalpy method",

abstract = "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.",

author = "Berhe, {Mulugeta K.} and Voller, {Vaughan R.} and Patankar, {Suhas V.}",

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: {\textcopyright} 1995 by the American Institute of Aeronautics and Astronautics Inc.; 30th Thermophysics Conference, 1995 ; Conference date: 19-06-1995 Through 22-06-1995",

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T1 - Solution of inverse Stefan problem using a new enthalpy method

AU - Berhe, Mulugeta K.

AU - Voller, Vaughan R.

AU - Patankar, Suhas V.

N1 - 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.

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

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Solution of inverse Stefan problem using a new enthalpy method

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