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Moving boundary‐moving mesh analysis of phase change using finite elements with transfinite mappings
Author(s) -
Albert M. R.,
O'Neill K.
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620230406
Subject(s) - transfinite number , boundary (topology) , motion (physics) , mathematics , boundary value problem , mathematical analysis , thermal conduction , geometry , physics , classical mechanics , thermodynamics
Two‐dimensional heat conduction phase change problems are solved using a moving boundary‐moving mesh approach. A transfinite mapping technique successfully controls interior mesh motion, and numerical results compare well with analytical solutions. Calculations also agree well with two‐dimensional laboratory data for cases featuring time‐dependent boundary conditions.