SCHEME FOR CALCULATING UNSTEADY FLOWS OF HEAT-CONDUCTING GAS IN A THREE-TEMPERATURE APPROXIMATION

A numerical modeling technique for unsteady flows of heat-conducting gas in a three-temperature approximation is presented. The methodology is based on the foundational principles of S.K. Godunov. For time integration, each time step is computed by splitting the governing equations into hyperbolic and parabolic subsystems. The first subsystem is solved using a generalized Godunov scheme, while the second uses an explicit-iterative Chebyshev scheme. Adaptive, curvilinear moving grids are used for discretization, and the discrete scheme is formulated in curvilinear coordinates, preserving the symmetries of the differential problem. The methodology is implemented as a parallel code for multiprocessor computers. Its primary purpose is to support computational studies in controlled thermonuclear fusion, though it can also be applied to other areas of computational aerogas dynamics.

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Publication Details

Journal
Журнал вычислительной математики и математической физики
Published
2024-12-15
DOI
https://doi.org/10.31857/s0044466924080153
Primary Topic
Advanced Power Generation Technologies
Type
article
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article

SCHEME FOR CALCULATING UNSTEADY FLOWS OF HEAT-CONDUCTING GAS IN A THREE-TEMPERATURE APPROXIMATION

О. Б. Феодоритова, В. Т. Жуков
Журнал вычислительной математики и математической физики
Advanced Power Generation Technologies
article

SCHEME FOR CALCULATING UNSTEADY FLOWS OF HEAT-CONDUCTING GAS IN A THREE-TEMPERATURE APPROXIMATION

О. Б. Феодоритова, В. Т. Жуков
article en

Abstract

A numerical modeling technique for unsteady flows of heat-conducting gas in a three-temperature approximation is presented. The methodology is based on the foundational principles of S.K. Godunov. For time integration, each time step is computed by splitting the governing equations into hyperbolic and parabolic subsystems. The first subsystem is solved using a generalized Godunov scheme, while the second uses an explicit-iterative Chebyshev scheme. Adaptive, curvilinear moving grids are used for discretization, and the discrete scheme is formulated in curvilinear coordinates, preserving the symmetries of the differential problem. The methodology is implemented as a parallel code for multiprocessor computers. Its primary purpose is to support computational studies in controlled thermonuclear fusion, though it can also be applied to other areas of computational aerogas dynamics.

Журнал вычислительной математики и математической физикиVol. 64(8)
Keldysh Institute of Applied Mathematics (RU)
Affordable and clean energy
Openalex Percentile: Top 78%
Advanced Power Generation Technologies
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