THE MATHEMATICAL DESCRIPTION OF PROCESS OF PHASES FORMATIONS DURING OBTAINING MICRO- AND NANOCRYSTALS

THE MATHEMATICAL DESCRIPTION OF PROCESS OF PHASES FORMATIONS DURING OBTAINING MICRO- AND NANOCRYSTALS

A variant of shock-capturing method for Stefan problem solution involving emerges with modeling of diffusion in multiphase solid body is proposed. Generalized Galerkin method is used because its coordinate functions not obliged to satisfy natural boundary conditions. Time integration is executed wit...

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Bibliographic Details
Main Authors: V.V. Zhigunov, A.I. Lavit
Format: Article
Language:Russian
Published: Tver State University 2011-12-01
Series:Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов
Subjects:
Diffusion
multiphase binary system
microcrystals
intermetallic compound
mathematical modelling
Online Access:http://physchemaspects.ru/archives/2011/%D0%A4%D0%A5-2011%20%D0%96%D0%B8%D0%B3%D1%83%D0%BD%D0%BE%D0%B2%20%D0%92%D0%92%201.pdf
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spelling doaj-561e3c61c8614eef98ac0b929801fea02020-11-25T01:17:24ZrusTver State UniversityФизико-химические аспекты изучения кластеров, наноструктур и наноматериалов2226-44422658-43602011-12-0133946THE MATHEMATICAL DESCRIPTION OF PROCESS OF PHASES FORMATIONS DURING OBTAINING MICRO- AND NANOCRYSTALSV.V. Zhigunov0A.I. Lavit1Tula State UniversityTula State UniversityA variant of shock-capturing method for Stefan problem solution involving emerges with modeling of diffusion in multiphase solid body is proposed. Generalized Galerkin method is used because its coordinate functions not obliged to satisfy natural boundary conditions. Time integration is executed with Crank-Nicholson finite-difference scheme. Space integration is executed with finite element method.http://physchemaspects.ru/archives/2011/%D0%A4%D0%A5-2011%20%D0%96%D0%B8%D0%B3%D1%83%D0%BD%D0%BE%D0%B2%20%D0%92%D0%92%201.pdfDiffusionmultiphase binary systemmicrocrystalsintermetallic compoundmathematical modelling
collection DOAJ
language Russian
format Article
sources DOAJ
author V.V. Zhigunov
A.I. Lavit
spellingShingle V.V. Zhigunov
A.I. Lavit
THE MATHEMATICAL DESCRIPTION OF PROCESS OF PHASES FORMATIONS DURING OBTAINING MICRO- AND NANOCRYSTALS
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов
Diffusion
multiphase binary system
microcrystals
intermetallic compound
mathematical modelling
author_facet V.V. Zhigunov
A.I. Lavit
author_sort V.V. Zhigunov
title THE MATHEMATICAL DESCRIPTION OF PROCESS OF PHASES FORMATIONS DURING OBTAINING MICRO- AND NANOCRYSTALS
title_short THE MATHEMATICAL DESCRIPTION OF PROCESS OF PHASES FORMATIONS DURING OBTAINING MICRO- AND NANOCRYSTALS
title_full THE MATHEMATICAL DESCRIPTION OF PROCESS OF PHASES FORMATIONS DURING OBTAINING MICRO- AND NANOCRYSTALS
title_fullStr THE MATHEMATICAL DESCRIPTION OF PROCESS OF PHASES FORMATIONS DURING OBTAINING MICRO- AND NANOCRYSTALS
title_full_unstemmed THE MATHEMATICAL DESCRIPTION OF PROCESS OF PHASES FORMATIONS DURING OBTAINING MICRO- AND NANOCRYSTALS
title_sort mathematical description of process of phases formations during obtaining micro- and nanocrystals
publisher Tver State University
series Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов
issn 2226-4442
2658-4360
publishDate 2011-12-01
description A variant of shock-capturing method for Stefan problem solution involving emerges with modeling of diffusion in multiphase solid body is proposed. Generalized Galerkin method is used because its coordinate functions not obliged to satisfy natural boundary conditions. Time integration is executed with Crank-Nicholson finite-difference scheme. Space integration is executed with finite element method.
topic Diffusion
multiphase binary system
microcrystals
intermetallic compound
mathematical modelling
url http://physchemaspects.ru/archives/2011/%D0%A4%D0%A5-2011%20%D0%96%D0%B8%D0%B3%D1%83%D0%BD%D0%BE%D0%B2%20%D0%92%D0%92%201.pdf
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AT ailavit themathematicaldescriptionofprocessofphasesformationsduringobtainingmicroandnanocrystals
AT vvzhigunov mathematicaldescriptionofprocessofphasesformationsduringobtainingmicroandnanocrystals
AT ailavit mathematicaldescriptionofprocessofphasesformationsduringobtainingmicroandnanocrystals
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