On the hyperbolicity, stability and correctness of the cauchy problem for the system of equations of two-speed motion of two-phase media

Comparison of difference scheme with customizable dissipative properties and WENO scheme in the case of one-dimensional gas and gas-particle dynamics problems

“…Для широкого круга приложений в поле течения имеются области чистого газа (гиперболический тип уравнений) [1,2] и газовзвеси (составной тип с мнимыми компонентами характеристик) [3][4][5], разде-ленные границами раздела фаз. При этом к разностной схеме предъявляются требования способности сквозного расчета с хорошим разрешением деталей потока как в чистом газе, так и в его смеси с взве-шенными частицами.…”

Riemann solver for the Nigmatulin model of two-phase flow

“…Nigmatulin developed another two-phase model [12] by treating the solid phase to be incompressible, and also accounting for the solid elastic energy. Although past studies [2,3,11] have applied this model, it has not received as wide an attention as the Baer-Nunziato model. The authors of this paper are currently investigating the application of the Nigmatulin model for high-speed, two-phase flows, and more discussions on this model, including the characteristic analysis, and a robust Riemann solver for the same, can be found in [6].…”