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Numerical implementation of traveling-wave solutions in heterogeneous media with two pressures taking into account the volume concentration of particles. / Fedorov, A. V.; Bedarev, I. A.

Proceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017: Dedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS. ред. / Fomin. Том 1893 American Institute of Physics Inc., 2017. 020010 (AIP Conference Proceedings; Том 1893).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаяРецензирование

Harvard

Fedorov, AV & Bedarev, IA 2017, Numerical implementation of traveling-wave solutions in heterogeneous media with two pressures taking into account the volume concentration of particles. в Fomin (ред.), Proceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017: Dedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS. Том. 1893, 020010, AIP Conference Proceedings, Том. 1893, American Institute of Physics Inc., 25th Conference on High-Energy Processes in Condensed Matter, HEPCM 2017, Novosibirsk, Российская Федерация, 05.06.2017. https://doi.org/10.1063/1.5007448

APA

Fedorov, A. V., & Bedarev, I. A. (2017). Numerical implementation of traveling-wave solutions in heterogeneous media with two pressures taking into account the volume concentration of particles. в Fomin (Ред.), Proceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017: Dedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS (Том 1893). [020010] (AIP Conference Proceedings; Том 1893). American Institute of Physics Inc.. https://doi.org/10.1063/1.5007448

Vancouver

Fedorov AV, Bedarev IA. Numerical implementation of traveling-wave solutions in heterogeneous media with two pressures taking into account the volume concentration of particles. в Fomin, Редактор, Proceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017: Dedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS. Том 1893. American Institute of Physics Inc. 2017. 020010. (AIP Conference Proceedings). doi: 10.1063/1.5007448

Author

Fedorov, A. V. ; Bedarev, I. A. / Numerical implementation of traveling-wave solutions in heterogeneous media with two pressures taking into account the volume concentration of particles. Proceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017: Dedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS. Редактор / Fomin. Том 1893 American Institute of Physics Inc., 2017. (AIP Conference Proceedings).

BibTeX

@inproceedings{58d784fb808b4d598a5e06d29330a9fc,
title = "Numerical implementation of traveling-wave solutions in heterogeneous media with two pressures taking into account the volume concentration of particles",
abstract = "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.",
author = "Fedorov, {A. V.} and Bedarev, {I. A.}",
year = "2017",
month = oct,
day = "26",
doi = "10.1063/1.5007448",
language = "English",
volume = "1893",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Fomin",
booktitle = "Proceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017",
note = "25th Conference on High-Energy Processes in Condensed Matter, HEPCM 2017 ; Conference date: 05-06-2017 Through 09-06-2017",

}

RIS

TY - GEN

T1 - Numerical implementation of traveling-wave solutions in heterogeneous media with two pressures taking into account the volume concentration of particles

AU - Fedorov, A. V.

AU - Bedarev, I. A.

PY - 2017/10/26

Y1 - 2017/10/26

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85034249169&partnerID=8YFLogxK

U2 - 10.1063/1.5007448

DO - 10.1063/1.5007448

M3 - Conference contribution

AN - SCOPUS:85034249169

VL - 1893

T3 - AIP Conference Proceedings

BT - Proceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017

A2 - Fomin, null

PB - American Institute of Physics Inc.

T2 - 25th Conference on High-Energy Processes in Condensed Matter, HEPCM 2017

Y2 - 5 June 2017 through 9 June 2017

ER -

ID: 9957777