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Application of Charlie's method to the one-phase stefan problem

Charlie’s method [2-4], an explicit predictor-corrector ?nite di?erence-based scheme, is applied to the one-phase moving boundary problem with a Neumann-type boundary condition known as the Stefan problem. A front-tracking method is used to simulate the location of the moving boundary. A simple exa...

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Main Authors: Osman, Halijah, Alias, Norma, Sanugi, Bahrom
Format: Book Section
Published: Penerbit UTM 2007
Subjects:
QC Physics
Online Access:http://eprints.utm.my/id/eprint/13370/
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spelling my.utm.133702014-01-05T07:37:32Z http://eprints.utm.my/id/eprint/13370/ Application of Charlie's method to the one-phase stefan problem Osman, Halijah Alias, Norma Sanugi, Bahrom QC Physics Charlie’s method [2-4], an explicit predictor-corrector ?nite di?erence-based scheme, is applied to the one-phase moving boundary problem with a Neumann-type boundary condition known as the Stefan problem. A front-tracking method is used to simulate the location of the moving boundary. A simple example of the one-dimensional melting of ice [5] is taken into consideration. In general, the nonlinearity associated with the moving boundary signi?cantly complicates the analysis of this class of problems. A suitable range of the ?lter parameter ? in Charlie’s scheme is established, so that the numerical algorithm is stable and the time execution for the simulation is e?cient than the standard explicit scheme. The result of this study will give an insight to the future application of Charlie’s method in the simulation of the electrofusion joining process which involves a change of phase Penerbit UTM 2007 Book Section PeerReviewed Osman, Halijah and Alias, Norma and Sanugi, Bahrom (2007) Application of Charlie's method to the one-phase stefan problem. In: Recent Advances In Theoretical and Numerical Methods. Penerbit UTM , Johor, pp. 129-136. ISBN 978-983-52-0610-8
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QC Physics
spellingShingle QC Physics
Osman, Halijah
Alias, Norma
Sanugi, Bahrom
Application of Charlie's method to the one-phase stefan problem
description Charlie’s method [2-4], an explicit predictor-corrector ?nite di?erence-based scheme, is applied to the one-phase moving boundary problem with a Neumann-type boundary condition known as the Stefan problem. A front-tracking method is used to simulate the location of the moving boundary. A simple example of the one-dimensional melting of ice [5] is taken into consideration. In general, the nonlinearity associated with the moving boundary signi?cantly complicates the analysis of this class of problems. A suitable range of the ?lter parameter ? in Charlie’s scheme is established, so that the numerical algorithm is stable and the time execution for the simulation is e?cient than the standard explicit scheme. The result of this study will give an insight to the future application of Charlie’s method in the simulation of the electrofusion joining process which involves a change of phase
format Book Section
author Osman, Halijah
Alias, Norma
Sanugi, Bahrom
author_facet Osman, Halijah
Alias, Norma
Sanugi, Bahrom
author_sort Osman, Halijah
title Application of Charlie's method to the one-phase stefan problem
title_short Application of Charlie's method to the one-phase stefan problem
title_full Application of Charlie's method to the one-phase stefan problem
title_fullStr Application of Charlie's method to the one-phase stefan problem
title_full_unstemmed Application of Charlie's method to the one-phase stefan problem
title_sort application of charlie's method to the one-phase stefan problem
publisher Penerbit UTM
publishDate 2007
url http://eprints.utm.my/id/eprint/13370/
_version_ 1643646171562901504
score 13.214268

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