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- W2032541330 abstract "Explicit numerical schemes obtained using variable space grid (VSGM) and boundary immobilization (BIM) methods are considered for the solution of the transient heat conduction problem with phase change. This article briefly reviews different approaches developed to track the phase change front with a particular interest to those tracking explicitly the moving boundary. The analysis shows that both methods lead to identical computational algorithm, then considers the modified numerical scheme developed by Kutluay et al. (J. Comput. Appl. Math. 81 (1997) 135–144) and proposes a refinement procedure for the scheme without any additional CPU time. Two Stefan-like problems, having exact solutions, are studied and numerical results are assessed with respect to their performances.Les schémas numériques obtenus à partir des méthodes fixant la frontière mobile (BIM) ou adaptant le pas de discrétisation spatiale au mouvement de celle-ci (VSGM) sont appliqués au problème de conduction instationnaire avec changement de phase. Lʼarticle revoit brièvement les différentes approches développées pour le suivi dʼinterface avec une attention particulière pour celles la localisant explicitement. Lʼanalyse, qui montre que les deux schémas ne sont que deux expressions différentes dʼune même solution, porte également sur la modification apportée par Kutluay et al. (J. Comput. Appl. Math. 81 (1997) 135–144) et propose une procédure sure pour améliorer la précision de la solution. Lʼapplication de ces schémas numériques à deux exemples de problème de Stefan permet de comparer leurs performances." @default.
- W2032541330 created "2016-06-24" @default.
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- W2032541330 date "1992-02-01" @default.
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- W2032541330 title "An integral method for non-linear moving boundary problems" @default.
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- W2032541330 doi "https://doi.org/10.1016/0009-2509(92)80035-b" @default.
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