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An enthalpy control‐volume—unstructured‐mesh (cv—um) algorithm for solidification by conduction only
Author(s) -
Chow P.,
Cross M.
Publication year - 1992
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.1620350908
Subject(s) - quadrilateral , algorithm , control volume , convergence (economics) , computer science , polygon mesh , volume (thermodynamics) , enthalpy , mesh generation , finite volume method , work (physics) , computational science , mechanics , thermodynamics , finite element method , physics , computer graphics (images) , economics , economic growth
Recently, control volume methods have been developed for fluid flow and heat transfer on unstructured meshes. This approach has been extended here to implement the enthalpy based solidification algorithm on an unstructured mesh. A range of two‐dimensional test problems are solved using triangular and quadrilateral cells (or elements). The accuracy of the CV–UM algorithms compare favourably with the structured‐mesh algorithm, though the former algorithms require 1.5–3 times as much CPU as the latter. This overhead is associated with the extra work caused by the unstructuredness of the mesh; the number of sweeps to achieve convergence is roughly comparable for all algorithms. The CV–UM algorithms should perform well on complex geometry problems and, therefore, show potential to be a productive technique in casting solidification analysis.