Standard

An effective algorithm of the numerical solution to the Stefan problem. / Kurbatova, Galina I. ; Ermolaeva, Nadezhda N. .

в: Journal of Physics: Conference Series, Том 1392, 012034, 2019.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kurbatova, GI & Ermolaeva, NN 2019, 'An effective algorithm of the numerical solution to the Stefan problem', Journal of Physics: Conference Series, Том. 1392, 012034. https://doi.org/doi:10.1088/1742-6596/1392/1/012034

APA

Kurbatova, G. I., & Ermolaeva, N. N. (2019). An effective algorithm of the numerical solution to the Stefan problem. Journal of Physics: Conference Series, 1392, [012034]. https://doi.org/doi:10.1088/1742-6596/1392/1/012034

Vancouver

Kurbatova GI, Ermolaeva NN. An effective algorithm of the numerical solution to the Stefan problem. Journal of Physics: Conference Series. 2019;1392. 012034. https://doi.org/doi:10.1088/1742-6596/1392/1/012034

Author

Kurbatova, Galina I. ; Ermolaeva, Nadezhda N. . / An effective algorithm of the numerical solution to the Stefan problem. в: Journal of Physics: Conference Series. 2019 ; Том 1392.

BibTeX

@article{3e98f0130bf94e5da988ea562b956241,
title = "An effective algorithm of the numerical solution to the Stefan problem",
abstract = "The method of the frontal interval of the numerical solution to Stefan problems is proposed. The method allows the calculation of the position of the phase transition boundary with high accuracy at any of time. Using the example of a plane two-phase Stefan problem, which has an exact analytical solution, the advantages of the proposed method in comparison with a variable time stepping method are demonstrated with respect to the calculation of the position of the phase transition boundary. An example of the solution to the one-phase Stefan problem using the frontal interval method is also given.",
author = "Kurbatova, {Galina I.} and Ermolaeva, {Nadezhda N.}",
year = "2019",
doi = "doi:10.1088/1742-6596/1392/1/012034",
language = "English",
volume = "1392",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",

}

RIS

TY - JOUR

T1 - An effective algorithm of the numerical solution to the Stefan problem

AU - Kurbatova, Galina I.

AU - Ermolaeva, Nadezhda N.

PY - 2019

Y1 - 2019

N2 - The method of the frontal interval of the numerical solution to Stefan problems is proposed. The method allows the calculation of the position of the phase transition boundary with high accuracy at any of time. Using the example of a plane two-phase Stefan problem, which has an exact analytical solution, the advantages of the proposed method in comparison with a variable time stepping method are demonstrated with respect to the calculation of the position of the phase transition boundary. An example of the solution to the one-phase Stefan problem using the frontal interval method is also given.

AB - The method of the frontal interval of the numerical solution to Stefan problems is proposed. The method allows the calculation of the position of the phase transition boundary with high accuracy at any of time. Using the example of a plane two-phase Stefan problem, which has an exact analytical solution, the advantages of the proposed method in comparison with a variable time stepping method are demonstrated with respect to the calculation of the position of the phase transition boundary. An example of the solution to the one-phase Stefan problem using the frontal interval method is also given.

U2 - doi:10.1088/1742-6596/1392/1/012034

DO - doi:10.1088/1742-6596/1392/1/012034

M3 - Article

VL - 1392

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

M1 - 012034

ER -

ID: 49630410