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Applied Mathematics and Mechanics in Aerospace Industry Read chapter Read first chapter

2021 | OriginalPaper | Chapter

9. A Godunov-Type Method for a Multi-temperature Plasma with Strong Shock Waves and a General Equation of State

Author : Alexey G. Aksenov

Published in: Applied Mathematics and Computational Mechanics for Smart Applications

Publisher: Springer Singapore

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Abstract

A multi-temperature code for a multi-component gas dynamic is considered. The velocities of components with nonzero mass are assumed to be identical to each other. The gas dynamic part is the Godunov-type method based on the efficient approximate solution of the Riemann problem operating with all components of the homogeneous gas mixture. The method assumes the table equation of state (EOS), but the system of the hydrodynamic equations should be hyperbolic. This work contains the test of the method on a strong shock wave in hydrogen plasma, so-called Shafranov’s solution. By taking into account the radiation component, the chapter discusses the applicability of the two temperature models for the strong shock wave in the hydrogen with the large temperatures behind a shock wave without consideration of the radiation at a considered short timescale. General EOS for the mixture of protons, electrons, and radiation differs from an ideal gas low EOS for two components (protons and electrons) fully ionized hydrogen plasma.

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Metadata
Title
A Godunov-Type Method for a Multi-temperature Plasma with Strong Shock Waves and a General Equation of State
Author
Alexey G. Aksenov
Copyright Year
2021
Publisher
Springer Singapore
Book
Applied Mathematics and Computational Mechanics for Smart Applications

Print ISBN: 978-981-334-825-7

Electronic ISBN: 978-981-334-826-4

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-981-33-4826-4_9

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