Numerical and Analytical Studies of Stefan Problems.
Abstract
Compact finite element scheme is used to solve Stefan Problem, with one dimensional and two dimensional numerically, using an Enthalpy formation. The numerical results indicate that the position of the melting front can be determined with first order accuracy by this method, the number of iterations at each time step being determined largely by the number of cells traversed by the front during a time step. The codes both 1-D and 2-D Stefan problems are written in Cray Fortran and vectorization on the Cray Y-MP was used. The enthalpy formulation of the 1-D and 2-D Stefan problems are approximated by compact schemes. The numerical results are compared to known exponential solutions, and the solutions and errors are plotted using mathematica. Four papers have been published or completed for publication. Three faculty members, Bolindra N. Borah (P.I.), Robert E. White (Co-P.I.), and Milton E. Rose (Co-P.I.) did work in this project. Besides three professors, there were three graduated students who also helped to complete the project.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 30, 1991
- Accession Number
- ADA239163
Entities
People
- Archimedes J. Kyrillidis
- Bolindra N. Borah
- Milton E. Rose
- Robert E. White
Organizations
- North Carolina Agricultural and Technical State University