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Computational experiment for solving the Stefan problem with nonlinear coefficients. / Lazareva, G. G.; Arakcheev, A. S.; Kandaurov, I. V. и др.

Application of Mathematics in Technical and Natural Sciences: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018. ред. / MD Todorov. Том 2025 American Institute of Physics Inc., 2018. 080005 (AIP Conference Proceedings; Том 2025).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаяРецензирование

Harvard

Lazareva, GG, Arakcheev, AS, Kandaurov, IV, Kasatov, AA, Kurkuchekov, VV, Maksimova, AG, Popov, VA, Snytnikov, AV, Trunev, YA, Vasilyev, AA & Vyacheslavov, LN 2018, Computational experiment for solving the Stefan problem with nonlinear coefficients. в MD Todorov (ред.), Application of Mathematics in Technical and Natural Sciences: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018. Том. 2025, 080005, AIP Conference Proceedings, Том. 2025, American Institute of Physics Inc., 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018, Albena, Болгария, 20.06.2018. https://doi.org/10.1063/1.5064925

APA

Lazareva, G. G., Arakcheev, A. S., Kandaurov, I. V., Kasatov, A. A., Kurkuchekov, V. V., Maksimova, A. G., Popov, V. A., Snytnikov, A. V., Trunev, Y. A., Vasilyev, A. A., & Vyacheslavov, L. N. (2018). Computational experiment for solving the Stefan problem with nonlinear coefficients. в MD. Todorov (Ред.), Application of Mathematics in Technical and Natural Sciences: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018 (Том 2025). [080005] (AIP Conference Proceedings; Том 2025). American Institute of Physics Inc.. https://doi.org/10.1063/1.5064925

Vancouver

Lazareva GG, Arakcheev AS, Kandaurov IV, Kasatov AA, Kurkuchekov VV, Maksimova AG и др. Computational experiment for solving the Stefan problem with nonlinear coefficients. в Todorov MD, Редактор, Application of Mathematics in Technical and Natural Sciences: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018. Том 2025. American Institute of Physics Inc. 2018. 080005. (AIP Conference Proceedings). doi: 10.1063/1.5064925

Author

Lazareva, G. G. ; Arakcheev, A. S. ; Kandaurov, I. V. и др. / Computational experiment for solving the Stefan problem with nonlinear coefficients. Application of Mathematics in Technical and Natural Sciences: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018. Редактор / MD Todorov. Том 2025 American Institute of Physics Inc., 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{7f8f2460c5b24e65a541677337a2ad3b,
title = "Computational experiment for solving the Stefan problem with nonlinear coefficients",
abstract = "A numerical solution to the two-phase direct Stefan problem is considered. The position of the phase boundary depends on discontinuous nonlinear coefficients. The aim of the study is to provide a detailed resolution of the heat flow deep into the material with a fine spatial grid step. As compared with the size of the tungsten plate, the heating depth is very small. The problem statement under consideration is multiscale. Further expansion of the model involves gas dynamics equations to simulate the dynamics of the liquid and gaseous phases of the metal. The effect of discontinuous time- and space-nonlinear coefficients and boundary conditions on the nature of the solution is shown. The thermal conductivity function has a great influence on the solution. Surface melting of tungsten under exposure to a pulsed electron beam was simulated numerically, the evaporation process taken into account. The calculation is based on the experimental time dependence of the absorbed power density. The results of the calculations correlate with the experimental data obtained on the experimental test facility BETA at BINP SB RAS.",
keywords = "NUMERICAL-SOLUTION, METALS",
author = "Lazareva, {G. G.} and Arakcheev, {A. S.} and Kandaurov, {I. V.} and Kasatov, {A. A.} and Kurkuchekov, {V. V.} and Maksimova, {A. G.} and Popov, {V. A.} and Snytnikov, {A. V.} and Trunev, {Yu A.} and Vasilyev, {A. A.} and Vyacheslavov, {L. N.}",
note = "Publisher Copyright: {\textcopyright} 2018 Author(s).; 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018 ; Conference date: 20-06-2018 Through 25-06-2018",
year = "2018",
month = oct,
day = "25",
doi = "10.1063/1.5064925",
language = "English",
volume = "2025",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "MD Todorov",
booktitle = "Application of Mathematics in Technical and Natural Sciences",

}

RIS

TY - GEN

T1 - Computational experiment for solving the Stefan problem with nonlinear coefficients

AU - Lazareva, G. G.

AU - Arakcheev, A. S.

AU - Kandaurov, I. V.

AU - Kasatov, A. A.

AU - Kurkuchekov, V. V.

AU - Maksimova, A. G.

AU - Popov, V. A.

AU - Snytnikov, A. V.

AU - Trunev, Yu A.

AU - Vasilyev, A. A.

AU - Vyacheslavov, L. N.

N1 - Publisher Copyright: © 2018 Author(s).

PY - 2018/10/25

Y1 - 2018/10/25

N2 - A numerical solution to the two-phase direct Stefan problem is considered. The position of the phase boundary depends on discontinuous nonlinear coefficients. The aim of the study is to provide a detailed resolution of the heat flow deep into the material with a fine spatial grid step. As compared with the size of the tungsten plate, the heating depth is very small. The problem statement under consideration is multiscale. Further expansion of the model involves gas dynamics equations to simulate the dynamics of the liquid and gaseous phases of the metal. The effect of discontinuous time- and space-nonlinear coefficients and boundary conditions on the nature of the solution is shown. The thermal conductivity function has a great influence on the solution. Surface melting of tungsten under exposure to a pulsed electron beam was simulated numerically, the evaporation process taken into account. The calculation is based on the experimental time dependence of the absorbed power density. The results of the calculations correlate with the experimental data obtained on the experimental test facility BETA at BINP SB RAS.

AB - A numerical solution to the two-phase direct Stefan problem is considered. The position of the phase boundary depends on discontinuous nonlinear coefficients. The aim of the study is to provide a detailed resolution of the heat flow deep into the material with a fine spatial grid step. As compared with the size of the tungsten plate, the heating depth is very small. The problem statement under consideration is multiscale. Further expansion of the model involves gas dynamics equations to simulate the dynamics of the liquid and gaseous phases of the metal. The effect of discontinuous time- and space-nonlinear coefficients and boundary conditions on the nature of the solution is shown. The thermal conductivity function has a great influence on the solution. Surface melting of tungsten under exposure to a pulsed electron beam was simulated numerically, the evaporation process taken into account. The calculation is based on the experimental time dependence of the absorbed power density. The results of the calculations correlate with the experimental data obtained on the experimental test facility BETA at BINP SB RAS.

KW - NUMERICAL-SOLUTION

KW - METALS

UR - http://www.scopus.com/inward/record.url?scp=85056152342&partnerID=8YFLogxK

U2 - 10.1063/1.5064925

DO - 10.1063/1.5064925

M3 - Conference contribution

AN - SCOPUS:85056152342

VL - 2025

T3 - AIP Conference Proceedings

BT - Application of Mathematics in Technical and Natural Sciences

A2 - Todorov, MD

PB - American Institute of Physics Inc.

T2 - 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018

Y2 - 20 June 2018 through 25 June 2018

ER -

ID: 17414631