Numerical solution of Stefan problem with time-dependent boundary conditions by variable space grid method
Author(s) -
Svetislav Savović,
J. Caldwell
Publication year - 2009
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci0904165s
Subject(s) - variable (mathematics) , position (finance) , boundary value problem , grid , boundary (topology) , space (punctuation) , distribution (mathematics) , spacetime , mathematical analysis , stefan problem , mathematics , physics , computer science , geometry , finance , quantum mechanics , economics , operating system
The variable space grid method based on finite differences is applied to the one-dimensional Stefan problem with time-dependent boundary conditions describing the solidification/melting process. The temperature distribution, the position of the moving boundary and its velocity are evaluated in terms of finite differences. It is found that the computational results obtained by the variable space grid method exhibit good agreement with the exact solution. Also the present results for temperature distribution are found to be more accurate compared to those obtained previously by the variable time step method
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