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Unconditionally stable fully explicit finite difference solution of solidification problems
, Article Metallurgical and Materials Transactions B: Process Metallurgy and Materials Processing Science ; Volume 38, Issue 1 , 2007 , Pages 121-142 ; 10735615 (ISSN) ; Davami, P ; Sharif University of Technology
2007
Abstract
An unconditionally stable fully explicit finite difference method for solution of conduction dominated phase-change problems is presented. This method is based on an asymmetric stable finite difference scheme for approximation of diffusion terms and application of the temperature recovery method as a phase-change modeling method. The computational cost of the presented method is the same as the explicit method per time-step, while it is free from time-step limitation due to stability criteria. It robustly handles isothermal and nonisothermal phase-change problems and is very efficient when the global temperature field is desirable (not accurate front position). The robustness, stability,...