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Riemann shock tube: 1D normal shocks in air, simulations and experiments.

Riemann shock tube: 1D normal shocks in air, simulations and experiments.

Authors :
Surana, K.S.
Reddy, K.P.J.
Joy, A.D.
Reddy, J.N.
Source :
International Journal of Computational Fluid Dynamics. Jul-Dec2014, Vol. 28 Issue 6-10, p251-271. 21p.
Publication Year :
2014

Abstract

This paper presents numerical simulation of the evolution of one-dimensional normal shocks, their propagation, reflection and interaction in air using a single diaphragm Riemann shock tube and validate them using experimental results. Mathematical model is derived for one-dimensional compressible flow of viscous and conducting medium. Dimensionless form of the mathematical model is used to construct space–time finite element processes based on minimization of the space–time residual functional. The space–time local approximation functions for space–timep-version hierarchical finite elements are considered in higher orderspaces that permit desired order of global differentiability of local approximations in space and time. The resulting algebraic systems from this approach yield unconditionally positive-definite coefficient matrices, hence ensure unique numerical solution. The evolution is computed for a space–time strip corresponding to a time increment Δtand then time march to obtain the evolution up to any desired value of time. Numerical studies are designed using recently invented hand-driven shock tube (Reddy tube) parameters, high/low side density and pressure values, high- and low-pressure side shock tube lengths, so that numerically computed results can be compared with actual experimental measurements. [ABSTRACT FROM PUBLISHER]

Details

Language :
English
ISSN :
10618562
Volume :
28
Issue :
6-10
Database :
Academic Search Index
Journal :
International Journal of Computational Fluid Dynamics
Publication Type :
Academic Journal
Accession number :
99753993
Full Text :
https://doi.org/10.1080/10618562.2014.927056