Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Computational experiment for solving the Stefan problem with nonlinear coefficients. / Lazareva, G. G.; Arakcheev, A. S.; Kandaurov, I. V. et al.
Application of Mathematics in Technical and Natural Sciences: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018. ed. / MD Todorov. Vol. 2025 American Institute of Physics Inc., 2018. 080005 (AIP Conference Proceedings; Vol. 2025).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
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