Modeling of inflation of liquid spherical layers under zero gravity

Abstract

A mathematical model of the inflation of a spherical layer (shell) made of heat-conducting incompressible Newtonian liquid has been developed and examined. The model presents a set of differential equations, the analytical solution of which has been found in the form of the dependences of the velocity of liquid flow and the pressure in the liquid layer on the inner radius of the shell. Results of simulation of the shell inflation process under different conditions of gas pumping are presented and discussed.

On the optimization of numerical dispersion and dissipation of finite difference scheme for linear advection equation

“…Due to the dependence of ψ s and ω (see eqs. (13) and 15) on γ, the case of ∆t = 1 may be considered.…”

“…Nowadays lattice Boltzmann method (LBM) [2], [9], [11], [12] is considered as a powerful method for the solution of different fluid dynamics problems [3], [13], [14]. The method is based on the solution of the system of kinetic equations instead the system of the equations of hydrodynamics.…”