Numerical implementation of traveling-wave solutions in heterogeneous media with two pressures taking into account the volume concentration of particles

A. V. Fedorov, I. A. Bedarev

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

Аннотация

The motion of shock waves through a mixture of gas and fine solid particles is studied using a model of the mechanics of heterogeneous media taking into account the difference in phase velocities, the intergranular pressure of the particles, and their finite volume concentration. The equation of state includes the volume concentration of particles. For this model, we have analytically and numerically studied the question of what types of strong discontinuities (frozen, dispersive, frozen-dispersive, two-front) exist and are stable in the dispersed medium considered and under what conditions they occur. A numerical solution of initial-boundary-value problems is obtained using a third-order TVD scheme for approximation in space and a five-order Runge-Kutta scheme for time approximations. The corresponding solutions in the class of traveling waves are calculated. A map of flow regimes in the form of shock waves is constructed, which makes it possible to determine the final velocity of the mixture behind the shock wave as a function of its initial velocity and the relative mass concentration of the gas phase. The above-mentioned stationary solutions for various types of shock waves are found numerically. Their stability is investigated by solving the Cauchy problem for nonstationary one-dimensional equations of the mechanics of heterogeneous media.

Язык оригиналаанглийский
Название основной публикацииProceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017
Подзаголовок основной публикацииDedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS
Редакторы Fomin
ИздательAmerican Institute of Physics Inc.
Число страниц12
Том1893
ISBN (электронное издание)9780735415782
DOI
СостояниеОпубликовано - 26 окт 2017
Событие25th Conference on High-Energy Processes in Condensed Matter, HEPCM 2017 - Novosibirsk, Российская Федерация
Продолжительность: 5 июн 20179 июн 2017

Серия публикаций

НазваниеAIP Conference Proceedings
ИздательAMER INST PHYSICS
Том1893
ISSN (печатное издание)0094-243X

Конференция

Конференция25th Conference on High-Energy Processes in Condensed Matter, HEPCM 2017
СтранаРоссийская Федерация
ГородNovosibirsk
Период05.06.201709.06.2017

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