Open AccessNumerical modeling of the formation of D-T mixture spherical layer in micro-targets of LTS
Author(s) -
Ekaterina Yu. Kireicheva,
Elena A. Veselova,
Tatyana F. Mamedova
Publication year - 2021
Publication title -
žurnal srednevolžskogo matematičeskogo obŝestva
Language(s) - English
Resource type - Journals
eISSN - 2587-7496
pISSN - 2079-6900
DOI - 10.15507/2079-6900.23.202104.394-411
Subject(s) - symmetrization , grid , thermal , finite volume method , phase (matter) , spherical shell , mechanics , motion (physics) , layer (electronics) , volume (thermodynamics) , shell (structure) , computational fluid dynamics , physics , equations of motion , mathematical analysis , mathematics , geometry , classical mechanics , thermodynamics , chemistry , materials science , quantum mechanics , composite material , organic chemistry
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.