Numerical and Analytical Modeling of One Gas-Suspension Problem

In the present paper, the authors have given nonsteady and numerical solutions to a certain initial boundary-value problem for dynamics equations of a two-phase two-velocity medium (Kh. A. Rakhmatulin′s model). To this end, a numerical method of the TVD type was developed and relevant testing calculations were carried out. A comparison of the calculation data and the analytical solution has been given. The comparison results have shown their satisfactory agreement, i.e., the effectiveness of the numerical scheme. The domain of hyperbolicity of the model under study on this solution has been found.