Geodesic
Numerical modeling of the formation of D-T mixture spherical layer in micro-targets of LTS
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 23 (2021) no. 4, pp. 394-411

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The article presents a two-dimensional economical computational model of the formation of D-T mixture cryogenic layer in a spherical shell. The model is based on the description of the motion of the gas phase in the Boussinesq approximation. The thermal problem is a Stefan problem with a gas-solid phase transition. The technique is based on the finite volume method, the use of a structured mobile grid, whose movement is associated with the separation of the phase front, implicit approximations and the method of splitting two-dimensional equations in directions into one-dimensional equations. It is numerically shown that, due to natural radioactivity, the target is symmetrized. A calculated estimation of the symmetrization time for one geometry of the target with different filling coefficients is carried out.
Keywords: cryogenic target, Navier-Stokes equation in the Boussinesq approximation, finite volume method, structured mobile grid. 
@article{SVMO_2021_23_4_a2,
     author = {E. Yu. Kireicheva and E. A. Veselova and Yu. N. Deryugin and T. Ph. Mamedova},
     title = {Numerical modeling of the formation of {D-T} mixture spherical layer in micro-targets of {LTS}},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {394--411},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVMO_2021_23_4_a2/}
}
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E. Yu. Kireicheva; E. A. Veselova; Yu. N. Deryugin; T. Ph. Mamedova. Numerical modeling of the formation of D-T mixture spherical layer in micro-targets of LTS. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 23 (2021) no. 4, pp. 394-411. http://geodesic.mathdoc.fr/item/SVMO_2021_23_4_a2/