Computional Studies of Interface Model of Microstucture Formation in Solidification

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F07%3A04139773" target="_blank" >RIV/68407700:21340/07:04139773 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Computional Studies of Interface Model of Microstucture Formation in Solidification

Original language description

The growth of microstructure non-convex patterns is studied by means of the modified anisotropic phase-field model. The numerical algorithm is designed using the finite-difference spatial discretisation in the method of lines. Results of numerical analysis of the model are based on the a-priori estimates, the compactness and monotonicity arguments. As a quantitative result, we present the convergence studies of the dendritic growth when the mesh size and the diffuse parameter tend to zero.

Czech name

Výpočetní studie anizotropního modelu formování mikrostruktur při tuhnutí

Czech description

The growth of microstructure non-convex patterns is studied by means of the modified anisotropic phase-field model. The numerical algorithm is designed using the finite-difference spatial discretisation in the method of lines. Results of numerical analysis of the model are based on the a-priori estimates, the compactness and monotonicity arguments. As a quantitative result, we present the convergence studies of the dendritic growth when the mesh size and the diffuse parameter tend to zero.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

JJ - Other materials

OECD FORD branch

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Project

<a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Acta Mathematica Universitatis Comenianae

ISSN

0862-9544

e-ISSN

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Volume of the periodical

76

Issue of the periodical within the volume

1

Country of publishing house

SK - SLOVAKIA

Number of pages

12

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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