Simulation of Viscous and Reactive Hypersonic Flows Behaviour in a Shock Tube Facility: TVD Schemes and Flux Limiters Application
Work performed in this study concerns mainly the analysis and the wisely use of TVD type schemes (total variation diminishing) for numerical simulation of reactive flows, these schemes are first presented in scalar equation. Their extension to Euler equations for a reactive gas mixture is conducted...
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Isfahan University of Technology
2014-01-01
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doaj-9e04f28b0cec424d87499425718c912f2020-11-25T02:45:50ZengIsfahan University of Technology Journal of Applied Fluid Mechanics1735-35722014-01-0172315328.Simulation of Viscous and Reactive Hypersonic Flows Behaviour in a Shock Tube Facility: TVD Schemes and Flux Limiters ApplicationA. BoulahiaS. Abboudi0M. BelkhiriUniversity of Technology of Belfort-Montbéliard (UTBM)Work performed in this study concerns mainly the analysis and the wisely use of TVD type schemes (total variation diminishing) for numerical simulation of reactive flows, these schemes are first presented in scalar equation. Their extension to Euler equations for a reactive gas mixture is conducted through the approximate extended solver of Riemann problem. A comparative study of specific variants of TVD schemes has been made in the case of one-dimensional unsteady flow for an inert and reactive gas mixture, which represents the classical instance of a shock tube. The purpose of this investigation is to highlight the general behaviour (order of accuracy) and performance of TVD schemes with various flux limiters for the simulation of reactive flows and in particular, to make possible the capture of the shock wave together with waves expansion for choosing the appropriate scheme to apply eventually in simulation of hypersonic viscous flow in chemical non equilibrium.http://jafmonline.net/JournalArchive/download?file_ID=32970&issue_ID=217Shock waves Hypersonic flows Reactive flows TVD schemes Flux limiter Shock tube. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
A. Boulahia S. Abboudi M. Belkhiri |
spellingShingle |
A. Boulahia S. Abboudi M. Belkhiri Simulation of Viscous and Reactive Hypersonic Flows Behaviour in a Shock Tube Facility: TVD Schemes and Flux Limiters Application Journal of Applied Fluid Mechanics Shock waves Hypersonic flows Reactive flows TVD schemes Flux limiter Shock tube. |
author_facet |
A. Boulahia S. Abboudi M. Belkhiri |
author_sort |
A. Boulahia |
title |
Simulation of Viscous and Reactive Hypersonic Flows Behaviour in a Shock Tube Facility: TVD Schemes and Flux Limiters Application |
title_short |
Simulation of Viscous and Reactive Hypersonic Flows Behaviour in a Shock Tube Facility: TVD Schemes and Flux Limiters Application |
title_full |
Simulation of Viscous and Reactive Hypersonic Flows Behaviour in a Shock Tube Facility: TVD Schemes and Flux Limiters Application |
title_fullStr |
Simulation of Viscous and Reactive Hypersonic Flows Behaviour in a Shock Tube Facility: TVD Schemes and Flux Limiters Application |
title_full_unstemmed |
Simulation of Viscous and Reactive Hypersonic Flows Behaviour in a Shock Tube Facility: TVD Schemes and Flux Limiters Application |
title_sort |
simulation of viscous and reactive hypersonic flows behaviour in a shock tube facility: tvd schemes and flux limiters application |
publisher |
Isfahan University of Technology |
series |
Journal of Applied Fluid Mechanics |
issn |
1735-3572 |
publishDate |
2014-01-01 |
description |
Work performed in this study concerns mainly the analysis and the wisely use of TVD type schemes (total variation diminishing) for numerical simulation of reactive flows, these schemes are first presented in scalar equation. Their extension to Euler equations for a reactive gas mixture is conducted through the approximate extended solver of Riemann problem. A comparative study of specific variants of TVD schemes has been made in the case of one-dimensional unsteady flow for an inert and reactive gas mixture, which represents the classical instance of a shock tube. The purpose of this investigation is to highlight the general behaviour (order of accuracy) and performance of TVD schemes with various flux limiters for the simulation of reactive flows and in particular, to make possible the capture of the shock wave together with waves expansion for choosing the appropriate scheme to apply eventually in simulation of hypersonic viscous flow in chemical non equilibrium. |
topic |
Shock waves Hypersonic flows Reactive flows TVD schemes Flux limiter Shock tube. |
url |
http://jafmonline.net/JournalArchive/download?file_ID=32970&issue_ID=217 |
work_keys_str_mv |
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1724759768976850944 |